Find the indefinite integral: 2- 2x + x2

Q: Evaluate the indefinite integral. x²dx V4 – x2 -

A: The given integral,       ∫x2dx4-x2

Q: Find the indefinite integral by using the substitution x = tan 0 (1+ x2)2dx

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Q: Evaluate the integral of dx / (x + 2) from -6 to -10.

A: The complex form of integration can be converted to simple integration form by  using the…

Q: Evaluate the indefinite integral by using the substitution u = 6-x° to reduce the integral to…

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Q: Find the indefinite integral by making a change of variables

A: Given integral is By using the following substitution , we get

Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

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Q: Evaluate the indefinite integral. -1 tan (5x)dx

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Q: 3dx 2. S (x+2)√x²+4x+3

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Q: Determine the indefinite integral below. S(9x+4)²dx. (9x+4)²dx =

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Q: x dx |-7-8X-x²

A: This question can be solved using the concept of some special integrals.

Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: The given integral is

Q: evaluate the indefinite integral.

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Q: Use the substitution æ = 6 tan(0) to evaluate the indefinite integral 23dx x2 Va2 + 36

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Q: 4Vx + 2xVxdx X

A: ∫xn dx = xn+1n+1+C ∫af(x) dx = a∫f(x) dx

Q: Evaluate the integral of dx / (x + 2) from -6 to -10

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Q: Find the indefinite integral and check the result by differentiating. xp

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Q: Evaluate the indefinite integral. -2 -dx. x2 + 10x + 25

A: To evaluate the indefinite integral.

Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

A: Given query is to find the value of the integral.

Q: Write the integral as a sum of integrals without absolute values and evaluate.

A: If we have integral , such that ∫a1a2f(x)dx , then this integral can be written as ∫a1a2f(x)dx  =…

Q: Evaluate the indefinite integral. fzarctan(3e)da

A: This integral contains two different types of function multiplied together, so we will use by parts…

Q: Evaluate the indefinite integral: ∫sec2(−3θ) dθ

A: To evaluate the indefinite integral: ∫sec2-3θ dθ Solution: Let substitute t=-3θ. Differentiating on…

Q: Find the indefinite integral

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Q: find the indefinite integral of (3lnx)/x dx

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Q: Find the indefinite integral using the substitution x = 2 tan θ.

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Q: 3x²-2 do 3 2x - 4x

A: Here we will solve the given integral,

Q: Find the indefinite integral by using the substitution x = 9 tan(8). 9x2 dx (81 + x2)2

A: By using given substitution we find the given integral. See attached file for a step by step…

Q: Determine the indefinite integral. In'x xp- 2x

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Q: Find the indefinite integral dr

A: Given: The integral ∫x2e6xdx, To evaluate: The value of given indefinite integral.

Q: (x+2) dx 3-2x x2

A: Given integral is: ∫x+23-2x-x2dx

Q: Use substitution to find the indefinite integral. 6x+7 (3x +7x) to

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Q: L²x√x-2dx

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Q: Use the substitution u=x2+4 to evaluate the indefinite integral below. 2x(x2+4)8

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Q: Evaluate the indefinite integral by using the substitution u = 5-x° to reduce the integral to…

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Q: Find the indefinite integral ∫xsinx2 dx

A: Given: The integral ∫xsinx2dx, To evaluate: The given indefinite integral.

Q: Evaluate the indefinite integral of (x+3)/[(x-1)2(x2+2)] dx

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Q: Find the indefinite integral by making the substitution = 8sec 0- x²-64 dx

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Q: Find the indefinite integral.

A: It is given that, ∫e-1t3t4 dtWe have to find the indefinite integral.

Q: Find the general indefinite integral. x* + 4x +1

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Q: find the indefinite integral of

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Q: Evaluate the integral 2x +4 Integral =

A: Given: I=∫192x+4xdx

Q: Evaluate the definite integral.

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Q: 2

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Q: Use a table of integrals to evaluate the definite integral.

A: It is give that,∫05x25+2x2dxWe have to evaluate the definite integral.

Q: dr

A: Given,           ∫1x+x 3 dx

Q: Evaluate the integral.

A: Integral:∫2xxdxLet, x=z      12x dx=dz

Q: evaluate the indefinite integral.

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Q: ここXP x(メャッ)。

A: put x^2+7=u so that 2x dx=du .and solve the question in 2nd step.

Q: Use the substitution u= 7x +4x to evaluate the indefinite integral below.

A: We have to change the variable from x to u by the substitution u = 7x2 +4x.

Q: Evaluate the definite integral. Use "u" substitution when appropriate only! 5. (3x - x2

A: Integral Question

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.