Evaluate the given integral using the substitution (or method) dx; u = . 7e +C Show My Work (Optional)

Q: 8. Evaluate S dx x4+x² + 1

A: To find:- ∫0∞dxx4+x2+1dx

Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: Pls Help Me and show work. Thank You

A: given:   week1 week2 day1 5 8 day2 4 7 day3 6 9 day4 8 5 day5 2 5 day6 3 7 day7 7 8…

Q: -2 Evaluate (5х — 2) dx -6

A:

Q: Evaluate f(4 – 3x)³ dr

A: The integration of the (4-3x)3 and limit from 1 to 2.

Q: dx 6. 4+ 5сosx

A:

Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: 2 dx 8x + 9

A: To find the value of given integration  We use some basic results of integration and substitution

Q: 3x? dx 2 + 4x

A:

Q: YOUR TURN 6 Find xV3 + x dx form Sub In be 1. 2.

A:

Q: Evaluate I = / a*. g³ Vx² – 3 dx

A:

Q: The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a…

A: Solution: Let X be the actual weight of wedges of cheddar cheese produced at dairy is normal with…

Q: Evaluate f5ear² – 2 dx

A: In this question we have to find the integration.

Q: -dx x +1 2 5.

A:

Q: dx. 6. Evaluate: 2x - 1 -1

A:

Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

Q: Evaluate dx. x2-4x + 8

A: Given, ∫xx2-4x+8dx  We have to evaluate it.

Q: 2 dx Evaluate J xvx4 + 25

A:

Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: 2х -1 -dx. x +3 Evaluate

A: Let,           I=∫2x-1x+3dx

Q: d 0.6 56. 2.8x -3. dx

A: Differentiate

Q: 3. Evaluate ry? dz dr dy.

A:

Q: り のx + ex t 1tx - dx x* + 2x t 5

A: (i) ∫dxx=ln(x) (ii) ∫dxx2+a2=1atan-1(xa) (iii) ∫xndx=xn+1n+1, for any real number n.

Q: dx 12 · S V5 – 4x² + 4x

A: