Integrate 1/(1+x(1/2)) dx

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

Q: Integrate S x sin(x)dx

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Q: Integrate (x)(e^-x)dx within the limits of (1, infinity)

A: Givne that  Integrate (x)(e^-x)dx   limits of (1, infinity)

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: Find dy/dx by implicit differentiation. 4x2 + 3xy - y? = 2 dy/dx =

A: We have to find derivative

Q: x sec2x dx (integration by Parts)

A: In this question, we need to find the integral of given function using integration by parts.

Q: dx

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Q: Integrate O sinh 2x dx

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Q: Evaluate / x cos(128x)dx. Use capital C for your constant of integration.

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Q: d VE evedt dx d -S Intdt dx 1

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Q: (A) Ln(2) S Sinh(x) Cosh² (x) dx

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Q: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

Q: Find definite integral.

A: The given integral can be solved by the method of substitution. The substitution that will be used…

Q: Integrate tan -1 x dx without using integration by parts.

A: We will find the solution in the following step.

Q: 2 dx =

A:

Q: xe dx

A: In the given question we have to solve the integral s.t ∫xexdx. we will solve the indefinite…

Q: integral of tan3xsec^4(3x) dx

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Q: Ssin x CosX dx 6x dx

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Q: (log a) dx 1+x²

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Q: Integrate: / cos“ x dx

A: The given integral is: I=∫cos4x dx Reduction formula: ∫cosnx dx=1ncosn-1(x) sin(x)+n-1n∫cosn-2(x) dx

Q: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

Q: 4 dx X-X-2Ą

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Q: 5. dx of y = (1+e-*)²/(1-e-*)

A: We need to find the derivative of the given function.

Q: integrate (2 + x^2)/x^1/2 dx from 1 to 4

A: to find I=∫142+x2xdx

Q: Verify the formulas by differentiation. ∫ 1/x + 1 dx = ln | x + 1 | + C, x ≠ -1

A: We have to verify by formulas of differentiation where expression is given as: ∫1x+1dx=lnx+1+C, x≠-1…

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: Find the indefinite integral. S sinh (1 – 2x) dx

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Q: 6) Calculate - dx for z = ln(x + y²).

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Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

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Q: Differentiate the following function.   y=ln(x+1)+ln7 dy/dx=?

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Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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Q: Integrate f dx using integration by parts. x+1

A: Please refer the attached image for complete solution.

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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Q: Find the indefinite integral. ∫sec x/2 dx

A: Given ∫sec x/2 dx. We need to evaluate the above integral.

Q: Find the value of the definite integral: 4x dx -2

A: ∫-254x3 dx

Q: Evaluate integral x^2e^-x^3 dx

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Q: 3/ Find Value of integral ) dx 0 X+1

A: I am attaching image so that you understand each and every step.

Q: 1. [cosh(x)] = sinh(x) dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: calculate the integral.

A: Given integral is We will use the following substitution to evaluate the integral

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

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Q: tanh 2x In (cosh 2x)dx

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Q: Integrate f sinh 2x dx

A: In this question we have to find Integration.

Q: -2(х-1 — х?) dx

A:

Q: Find dy/dx by implicit differentiation. 8x3 + x?y - xy3 = 2 dy/dx =

A: Solution: 8x3+x2y-xy3=2

Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

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Q: Integrate x?dx

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Q: Without integrating, explain why

A: when the integration is in the form  ∫-aaf(-x)=∫-aa-f(x) is odd then it is equal to 0

Q: Integrate: Sx e* dx.

A:

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.