e dx e2x+1

Q: e dx -5

A: Given : ∫-55edx

Q: Evaluate the integral: fe2 /1+ e2 dx

A:

Q: Find the integral of (e^x - 1)/(e^x + 1) dx.

A:

Q: Evaluate each improper integral.

A:

Q: 3 2—х ∞ Lo dx X¯e

A:

Q: Evaluate the integral ∫dx/ x√x4 - 1

A: We have given the integral;

Q: N3/4 4 e4x dx 5) 1 + e8x

A:

Q: Evaluate the integral [e2 cos(2x)dx.

A:

Q: Evaluate the integral. dx a > 0 (a² + x²j3/2?

A:

Q: Evaluate the integral dx- 1+ x8

A: Given  ∫-∞∞x31+x8dx=?

Q: -14 dx 4 -2 x+2

A:

Q: Compute this integral ∫( sqrt((e^x) +1) dx

A: To Compute this integral ∫( sqrt((e^x) +1) dx

Q: evaluate the given integral.

A: Use Substitution method to determine the value of  integral .

Q: Evaluate the integral.   ∫0 1 (x2 +1) e-x dx

A: Evaluate the integral.   ∫0 1 (x2 +1) e-x dx

Q: Evaluate the integral. | (e7* +3e -x) dx 7X +3 e -X) dx=

A:

Q: b) Evaluate the integral In 5 (x + 1)²e* dx

A: Given integral is ∫0ln5x+12exdx

Q: dx 4 sın*3x tan

A:

Q: Evaluate the integral. 4 x - 3 dx X 1

A: Given:

Q: Evaluate the integral. dx 4 a > 0 (a² + x²)3/2?

A:

Q: Evaluate the integral ∫x/(x2 - 4)3 dx

A: We have to evaluate the integral: ∫xx2-43dx We will solve this problem by substitution method, Let…

Q: Evaluate the integral. 1 (x² + 3)e¯× dx 0.

A:

Q: 2 1 e dx e

A:

Q: Use the Table of Integrals to evaluate the integral.

A:

Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx =…

Q: Evaluate the integral. (e 4X +7e=x) dx |(* +7e *) dx=] 7eX) dx:

A: Given: I=∫e4x+7e-xdx we know that ∫ekxdx=ekxk+c                                             ..1

Q: Evaluate the integral. ∫ (-4)dx ______________+ C

A:

Q: Evaluate and simplify the following integral: e* + e²x -dx 1+e2x

A: Solution: The objective is to find the value of the given integral

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

A: Since you post three different questions so as per our guideline we can solve only first question…

Q: Evaluate the improper integral e-1/x dx

A:

Q: Find the indefinite integral.

A: Given : ∫e2x1+e2xdx

Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

Q: Evaluate the integral. x³ - 6 dx +ク 11 X

A:

Q: Evaluate the integral. ∫e-θ  Cos 2θ dθ

A: Given ∫e-θ  Cos 2θ dθ

Q: dx x2-x

A: Convert the rational function into partial fraction. Use integration of 1/x dx = ln(x) +c

Q: Evaluate the integral. X - 4 dx Jo x2 - 5x + 6

A:

Q: Evaluate the integral.

A: We have to evaluate the indefinite integral: ∫dxex1-e-2x Rearranging the integral,…

Q: 2. Find the integral Jsec dx

A:

Q: Evaluate the integral. dx 2 (a² + x²)3/21 a>

A:

Q: Evaluate the integral of (e^x)^(1/2)

A: Given the integrand (e^x)^(1/2) Evaluate the given integral using u-substitution method. Let

Q: Evalute the indefinite integral

A: To evaluate the integral.

Q: Evaluate the integral: x² e3a dx

A: This question is related to Indefinite Integral, we will use Integration by parts formula to solve…

Q: Evaluate the integral. 1 X - 4 dx x2 – 5x + 6

A:

Q: -dx e2a

A: Given: ∫01xe2xdx

Q: e 2x 3/ex + 2 dx

A:

Q: Evaluate the integrals in ∫e1/x/x2 dx

A: Our Aim is to evaluate the integral given below:-I=∫e1/xx2dx -(i)

Q: Evaluate the integral. B 4х- 3 dx J2

A: To evaluate:

Q: Evaluate the integral /4- x2 dx. x2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the integral of e*cos (x)dx

A: The given integral is:∫excosxdx.We will use integration by parts formula to evaluate the above…

Q: [2'e'dx X

A: Given

Q: Find the integral [(x** +(-1)°x*!) In((a+2)x)dx b+1 с+1

A: The integral has been solved n attached in the second step.