Solve the integral- (a) d x (b) Syos sinx an

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A: Since you have asked multiple question As per our policy , we will solve the first question for you.…

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A: Our Aim is to find the indefinite integral given below:-∫x2 sech2 (x3)  -(i)

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A: A detailed solution is given below.

Q: Evaluate the integral. (Use C for the constant of integration.) x² dx 81 - x2

A: Given,             ∫x281 - x2dx

Q: use a geometry formula to find the exact value of the definite integral (-2x+4)dx on the interval…

A: To evaluate the definite integral from suitable geometric formula , (without using integration)

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Q: Solve the integral by using integration techniques

A: We have to solve

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A: We have to use integration by substitution technique. we can use substitution for Arctan x.

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Q: In x dx.

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Q: Find the indefinite integral.

A: Our Aim is to evaluate the following indefinite integral given below:-∫x3-8xx2dx -(i)

Q: Use substitution to find the indefinite integral.

A: Integration by substitution is a method to solve integrals line in the above question where the…

Q: cOs x In(sin x) dx

A: Given,  ∫cos x ln(sin x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) x² - 64 dx - +8

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Q: (3x-x²) dx x² Reciprocal Substitution

A: Let's find.

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

A: We have to find the integral

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8. xV 64 – (In x)2

A: Consider the integral: ∫8x64-lnx2dx…

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A: To find out the integration

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A: Given integral is- I=∫0π3sin3xdx As we know that,…

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A: The objective is to find the integration.

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A: Given that a integration we solve it by using general formulas of integration. We know that partial…

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A: Given:

Q: use a geometry formula to find the exact value of the definite integral (-2x+4) dx on the interval…

A: We have to find the exact value of the definite integral (-2x+4) dx on the interval [3/2,1/2]As a…

Q: dx tan x +sinx+1 Half-angle Substitution

A: