integrate the following using the substitution 1.)  ∫ ?^5(9z^6-7)^8 dz 2.)∫(5 − 3?^7x)^1/3 e^-7x dx

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

A: Integral by parts

Q: Integrate cos2x/sin^2(2x+8) dx

A:

Q: Integrate O sinh 2x dx

A:

Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: 5. 12 sec² (3x) dx 0.

A: We have to solve

Q: 2. COsh(4x)dx

A: We have to solve given integration

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

Q: integral of sin^5(3x)cos^3(3x)dx

A: The integral of ∫sin5(3x) cos3(3x) dx is sin5(3x) cos3(3x). If we need to find the integration then…

Q: tan20 sec2ede In 2 edx 3. 1. (a² + a²tan²0)² 2ex- 1 x'dx dx x- 1 2. 4. (1+ x2)3

A: As per our policy, only the first three subdivisions will be solved. For the remaining subdivision,…

Q: |(In(x))² dx

A:

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

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

Q: Integral from 0 to 2pi of sin(2x) dx

A:

Q: dx Tx-1 4

A:

Q: (tan Inx2)(Vcos³ lnx² 4. S dx (Trigonometric Integrals) 3x

A:

Q: Evaluate sin (3x) dx using integration by parts / Tabular Method.

A:

Q: Integral from 0 to pi/2 of (cosx) /(sinx) ^(1/2) dx

A: we have to find definite integral of f(x) in [0,pi/2]

Q: Find the indefinite integral. sinh(4 - 7x) dx

A: evaluate the indefinite integral ∫sinh4-7xdx

Q: The integ ral csc(0.5) dx is equal to

A: Follow the procedure given below.

Q: Find integral.

A: To evaluate

Q: find integral sqrt (1 - 4x 2 ) dx

A:

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: ( 5tanx sec'x dx .2,

A:

Q: rIn 2 cosh x dx. Vsinh a x + 4 sinh x +2

A:

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

A: to find I=∫142+x2xdx

Q: find the integration of 1/(sinx*√(sin(2x))) .dx

A: Let's find.

Q: Find the indefinite integral. sinh(4- 5x) dx

A: To find:∫sinh4-5xdx

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

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

Q: Use an appropriate substitution to integrate 24xcos(x2-2)dx

A:

Q: sin“ (x)dx 4

A:

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: Find dy/dx by implicit differentiation. x4/3 + yA/3 =12 %3D dy/dx = (Express your answer using…

A:

Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

A:

Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: q² In(x³ + 1) dx

A:

Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

A:

Q: Integrate: Jez sin(3x) dx

A: Solve the integration by substitution method

Q: Find the indefinite integral

A: Consider the integral: I=∫sec42x5dx……1

Q: Find the indefinite integral ∫sec 4x dx

A: the given indefinite integral is: ∫sec4x dx we have to find the value of the given indefinite…

Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

A:

Q: Integrate: S dx sin ³x cos6x

A:

Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration

Q: (a) Sizl=1 dz.

A: Here we use property of analytic function.

Q: sin(3x)sin(4x)dx Ssin(3x)cos(4x)dx Jcos(3x)cos(4x)dx

A:

Q: Find integral 2  to 5    1/ sqrt  (x -2 ) dx

A:

Q: What is the antiderivative of sec2(5x)dx from pi/20 to -pi/20?

A:

Q: | (In x)² dx_use integrationI

A:

Q: | (In x)2 dx Use integration by parts.

A: