dx +4) 10. +1)*(a

Q: Evaluate the integral. .5 3 cosh(t) dt 0.

A: Solution

Q: Evaluate the integral. * T/3 3 sec 0 tan 0 de In/4

A: Given that the integral is ∫π4π33secθtanθdθ. It is required to evaluate the given integral…

Q: Evaluate the integral  dx*(csch(3x))^2

A:

Q: Compute the integral dx.

A: As we know that ∫xmdx=xm+1m+1+C see below the answer and calculation

Q: To evaluate the integral 1. 7 64 + x² -dx,

A:

Q: Evaluate the integral. dx xVx² + 3

A:

Q: Evaluate the integral.

A: Now put,

Q: + 4x – 2) dx -1

A:

Q: Evaluate the integral dx (5x + 11)" by making the appropriate substitution: u = dx (5x + 11)

A: To evaluate the given integral.

Q: dx 9-4x*

A:

Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Evaluate the integral

A:

Q: -1 tan 2y dy

A:

Q: Evaluate the double integral : 8. dy dx 88 -

A: We have to evaluate the given double integral   The given expression is

Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

A:

Q: Evaluate the integral (2х — 8)dx х2 — 6х + 18

A: We know that integration power rule is - Integration of xn is xn+1/n+1+ C  Here C is integration…

Q: dx%3D 9+x²

A: Solution is given below:

Q: Compute the integral: -3 dz (z – 2)*

A:

Q: 2. Use Cauchy's Integral formula, Evaluate the following • I= sin4z ,IZl= 3

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

Q: Evaluate the integral. 24. '8 -2/3 dx

A:

Q: Evaluate the integral. 1/6 dx = 5x J1/13

A:

Q: Evaluate integral of dx/x+2 from -6 to -10 Choices: •In 2 •In 3 •21/3 •1/2

A:

Q: Evaluate the integral. 4 5x dx -2

A:

Q: Evaluate the im proper integral dx 3 (5-2)

A: Given integral is: I=∫05dx(5-x)3 Let us assume f(x)=1(5-x)32 Here x=5 is the point of infinite…

Q: Evaluate the integral. 4 3* dx /3

A:

Q: (d) Prove that 1-cos 2x dx is divergent. Hint: Split the expression inside the integral into two…

A: Integral is converges or divergence

Q: Evaluate the integrals ∫et cos (3et - 2) dt

A: We have to evaluate the integral: ∫et cos3et-2dt In this case we should use substitution method…

Q: dx 3-2x-x2 -3

A:

Q: Evaluate the integral dx S 2xx - 3x2

A:

Q: (b) Evaluate the integral fxIn x dx using by parts formula.

A: Answer is:  (x2/2)lnx -x2/4 + C

Q: Evaluate the integral.

A: Consider the following integral:…

Q: 2. Find the integral Jsec dx

A:

Q: Use the results of Section 5.2 to compute the following definite integral: 4x2 dx %3D

A:

Q: 7. 8 sin* x dx

A:

Q: Evaluate the integral dx (4x + 14) by making the appropriate substitution: u = dæ (4x + 14)* Submit…

A:

Q: Compute the indefinite integral 2. 4e2a + 6x 5) dx. - -

A:

Q: Use the form of the definition of the integral given in Theorem 4 in section 5.2 to evaluate the…

A: First integrate the function x2+7 with respect to x using the power rule of differentiation.

Q: Evaluate the integral dx 2xx - 3x?

A: To find: The integral ∫dx 2xx3-3x23 Concept used: ∫1-v2+1dv=lnv+12-lnv-12

Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

A:

Q: To evaluate the integral/ V3 – 3x² dx,

A: Substitute, x=sin(θ)dx=cosθ dθ The expression f(x) becomes,

Q: Evaluate the integral ∫√(3 - 2s) ds

A:

Q: Evaluate the integral. 34 1 8- dx

A:

Q: Evaluate the integral. x³In 4x dx

A:

Q: dx ト メ

A: Method of substitution is used

Q: dx —3 (х-1)(х-2)

A: Given: ∫-331x-1x-2dx

Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx