4. Determine the following integrals 4.2 - dx - a x

Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: 6) Evaluate the following integrals 4 6)dx J(a*W 3x3-4 dx

A:

Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: Q2 – Evaluate the following integrals. 1 -dx 1-sinx iii.

A:

Q: X. S 2x4 x³x²+x-1 - dx

A: Since multiple questions are asked I am answering first question

Q: Evaluate the following integrals: 2. Inx de sin 3x 3. dx 1-cos 3x 4. S 32* dx 5. S(e* + 1)°e*dx 6.…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Evaluate the integrals.

A: To find the value of given definite integral.

Q: Determine the following integrals: ³ In r dx and

A:

Q: Evaluate the following integrals. (a) /; 1 dx - 4

A: As per bartleby expert policy, only first individual question is to be answered. Kindly repost the…

Q: 3. Evaluate the following integral 5x+1 -dx (x-4)(x+2)?

A: Use the partial fraction method 5x+1x-4x+22=Ax-4+Bx+2+Cx+225x+1=Ax+22+Bx-4x+2+Cx-4 Put x=4 21=36A…

Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

A:

Q: 3. Evaluate the following improper integral; -2 2 dx x² – 1

A:

Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

A:

Q: 12. Determine the following integrals. Do not implify. )dz (b)

A:

Q: Q1. Evaluate the following Integrals 1 dx 1- cos x .2 +x - 2x +3 dx

A:

Q: Evaluate the integrals below: 1 2y .dx cos3x а) .dx, b) 0. lelsin3x – 1)

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

Q: Evaluate the integral from [1, e^3] ln^3(x^2) / x  dx

A:

Q: Evaluate the integrals.∫(x/(x-2))dx

A: Solution -  Given Integral is -  y = ∫xx-2dxWe can write it as - y = ∫x-2+2(x-2)dxy =…

Q: 1) Find the following integrals: a) S dx 3x+1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: B) Evaluate the following integrals: 1- dx 1-22

A: Let's find.

Q: Evaluate the integral: - c s 4x)dx

A:

Q: 5. Evaluate the following improper integrals (if not shoW Wny). x² dx a- 00 4 1 dx -2 x+2 b-

A: To evaluate the improper integrals.

Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

A:

Q: Either evaluate the following improper integrals or show that it diverges. +oo 1 (i) - dx +oo (ii) 2…

A: We have to evaluate the given integrals.

Q: A. Evaluate the following integrals. 1s (*2* -) x, 2х — 3' dx + 1. S x+2

A:

Q: Evaluate the following indefinite integrals. 1. S(5x + 4)11 dx 2. Sx (x² + 2)17 dx 3. fx²(9 – x³)5…

A: The solution is given below

Q: Evaluate the following integrals: x +1 1- dx (x² + 2x + 2)3

A:

Q: Evaluate the improper integral : S 4x³e¬9*, dx

A:

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u=3x – 7?

A:

Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: 1. Set up the following improper integrals by definition. sin(x) xe-x³ dx dx 2? — Зх — 4 а. с. 7 et…

A: Solution b: Given integration is ∫17exx-1dx Here 1 is the only point of infinite discontinuity So we…

Q: 1. Evaluate the integrals below. 5x²-x +3 (a) J x³ + x (b) [√v √√√x – 1 dx dx

A:

Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: ex dx V1 - e2x

A:

Q: 9. dx V1-x2

A: You must have the idea of basic of integral. The explanation part is given below.

Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

A:

Q: 4) Evaluate the following indefinite integrals. a. S (+ V3 - dx 4 3x2 b. S (2 sec2 x- 5 cscx cot…

A: Integrare

Q: Evaluate the integrals in ∫dx/x

A: Given:               ∫1x dx Let: y=ln x

Q: Evaluate the following integrals: 2r3 2) 2x2 + 1 - dx x² - x 1) | 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: sech x3 tanh x3 iii. S- dx

A:

Q: 9. Evaluate the integrals. dx dx b. Siya Jã(1+x) 1/3

A: The integral function is ∫131dxx1+x

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?

A: Given∫123x-5dx

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: Evaluate the integral: J 3 хе x³ e³x dx

A:

Q: 6. Which of the following integrals are imprope 2 SIn(x-1)dx sin x b. S dx 2 1 dx 2- 3x с. С. 1 d.…

A: Definition of improper integral:- An improper integral is of two type (i) Improper integrals o a…

Q: 2. fx²5-x' dx

A: ∫01x25-x3dxapply u substitution;take, u = -x3;du = -3x2-du3=x2then our equation can be written as…

Q: S 3x+1 - dx x²-x-6

A: Given integral is  I=∫3x+1x2-x-6dx