f ( x ) = sinh 2x;  1

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Use the partial fraction to separate out the terms, then integrate the terms separately.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: *....... Use partial fractions to find the indefinite integral. (Remember to use absolute values…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: .. .......... Use partial fractions to find the indefinite integral. (Remember to use absolute…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: *USE SUBSTITUTION METHOD FOR INTEGRATION Let x5+20x3+15x=U      (x4+12x2+3)dx=dU/5 put these values…

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: Answer:Let  I=∫dx1-5xThe given problem  can be solved using substitution mehtod.

Q: x2 – x + 6 dx x3 + 3x

A: Given Integral is  ∫x2-x+6x3+3xdx

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: Let I=∫x2+132x+132x3−4xdx ⇒I=∫x2+132x+132xx-2x+2dx To solve the given integral we need to write the…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: problem in the photo attached

A: definite integration.

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use Cc for the constant…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: An integral assigns numbers to functions in a way that describes displacement, area, volume, and…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: use linear approximation to estimate delta f. Compute the error and percentage error   10)…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: First do partial fraction.∫1x2+a2dx =1atan-1xa + C

Q: Use partial fractions to find the integral. (Remember to use absolute values where appropriate. Use…

A: The integration of the integral is (x+9)/(x2-6x).

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: This question is based on indefinite integral using partial fraction.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: We will evaluate the given integral by using various integration formulas as shown below

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: we have to solve the problem

Q: Solve using iterated integrals. (with graph) Find the area bounded by the circle x2 + y2 = 25, the…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Factor the denominator

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Estimate - dx using left endpoints for n = 3 approximating rectangles. х 2 dx is approximately

A: We have to find the Riemann sum for ∫232xdx with n=3 rectangles, using left endpoints.

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: An integral assigns numbers to functions in a way that describes displacement, area, volume, and…

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: The given integral,     ∫x2+1x-7x-62dx

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Evaluate the integral. ( Remember to use absolute values where appropriate.  Use C for the constant…

A: The given integral ∫axx2-bxdx can be evaluated as, ∫axx2-bxdx=∫axxx-bdx…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: I=∫x3-4x-1x-12x2+1dxUsing partial fraction decomposition ,x2-4x-1x-12x2+1=Ax-1+Bx-12+x+Dx2+1

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Given:⇒∫x-4(x-2)(x+7)dxPerform partial fraction decomposition:∫119(x+7)-29(x-2)dxApply…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: We know the formula a3 - b3 = (a – b) (a2 + ab + b2 )

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.