dx (x – a)(x – b)*ª *

Q: Evaluate the following integrals using integration by parts. Sre* dx f x3 In x dx -2x sin 2x dx

A: Solve the following

Q: 6 (x²+1) dx S (23+3x-2)²

A:

Q: (d) dx (x + 1)² 1

A: Given integral, ∫1∞xx+12dx Need to solve the integral, to find the given integral is converges or…

Q: Evaluate the following Integrals. dx V1 – 4.x2 4. -

A:

Q: dx 8. J3 x-3)3/2

A:

Q: Q1 - Evaluate the following integrals i. Sxe-*dx

A:

Q: Evaluate the following integrals using dx = -00 (a) 7xe- dx (b) 13 xe-X dx

A:

Q: Evaluate the following integrals: | Vx(x+1) dx •..

A:

Q: 4 3 b. J 20(2x + 1)°dx 1

A:

Q: Evaluate the following integrals: 1 = fx'e* dx 1. I

A: Given : Inetrgal equation is given

Q: 2х 3 2. Ver + 2 dx

A:

Q: - dx 5x² +3 c)

A:

Q: Find the following indefinite integrals. dx Vx + 2 +C !!

A: To evaluate the integral: I=∫xx+2dx...(1)

Q: Evaluate the following integrals: Væ(x + 1) dx =

A:

Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

A:

Q: Evaluate the following improper integrals provided they conver dx a) S Vx-x2

A:

Q: Evaluate the integral. V3 x3(x?) dx 1

A:

Q: Evaluate the following integrals: dx x4 ||

A: We can find the integration as below.

Q: ~2 .4 x* +1 dx 1 J1

A:

Q: e+?dx 3. | Vx + 3e*dx 4.

A:

Q: Find the following indefinite integrals. X dx= Vx6 +C

A: Given,

Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

A:

Q: Evaluate the following integrals.∫(ex-e-x)/(ex+e-x)dx

A: Given integral is ∫ex-e-xex+e-xdx. Consider u=ex+e-x. Then, du=ex-e-xdx

Q: Evaluate the following integrals: |xy dy dx (1) -1 x 27 3 !! dx dy (11)

A:

Q: Use any appropriate method to evaluate the following integral: (x^3)*(e^(x^2)) dx

A: Simple Integration problem....

Q: Evaluate the following integral using the Beta function: x5 – 3x6 + 3x7 – x° dx 0,

A: We have given I=∫01x5-3x6+3x7-x8 dx   Beta function: βp, q=∫01xp-11-xq-1 dx  where p>0 and q>0…

Q: Sx(x² – 3)11 dx

A:

Q: Q1 - Evaluate the following integrals i. " xe-*dx

A: We are evaluating the following integral:

Q: Evaluate the integrals ∫dx/ {x(x + 1)(x + 2)...(x + m)}

A:

Q: Evaluate the following improper integrals or show that they diverge. c+00 dx (a) x5/2 1 dx 1+ x2 (b)

A: Let's find.

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√x - 3

A: To evaluate the integral: ∫1xx-3dx. Let substitute u=x-3 dudx=12x-3dx=2x-3du Substituting the value,…

Q: a) S dx =? 2 X*V2x+4

A: Given: ∫dxx22x+4

Q: valuate the following integrals: dx (a) x² Vx² – 16 -

A: As per guidelines we have to solve one question

Q: Evaluate the following indefinite integral: dx r2 +1

A:

Q: Evaluate the following integrals (x2 — х)2 dx 1. x3

A: To evaluate: ∫(x2-x)2x3dx

Q: | (x" +e – dx x2

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

Q: dx x V1-4 In²x

A:

Q: Evaluate the following integrals.

A: Given integral, ∫dx1-x2+1-x2we have to evaluate the given integral

Q: i. L, Ix|e(1+x²) dx

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

Q: Evaluate the following integrals ii. fx cot-'x dx .

A: Solution is given below:

Q: Evaluate the following integral by appropriate method: L, V2 + lx[ dx

A:

Q: Evaluate the following integrals: x2 – x 1. Vx – 1 dx - 1

A: We will find the value of the integral as following.

Q: S, 3x²e* dx .2

A:

Q: Evaluate the following integrals: xex dx 2. xe/2 dx 1.

A: Given: I1=∫xe5xdx, I2=∫xex2dx For evaluating given integral, we use integral by parts theorem…

Q: Q3/ Use Simpson's (1/3) Rule to evaluate the following integrals, Assume (h=1)? sicx³ + x² – 5) dx

A:

Q: Evaluate the indefinite integrals, use the substitution when appropriate. a) S(e5- VE +) dt b) S cos…

A: a. Evaluate the given integral as shown below: ∫ t5-t+1tdt=∫ t5dt-∫tdt+∫1tdt…

Q: Evaluate/Find the following integrals. SxVAx - x'dx 2 1. x dx

A:

Q: Evaluate the following integrals.

A: ∫x1-9x2 dx Put, 1-9x2=t⇒0-92x=dtdx⇒-18x=dtdx⇒-18x dx=dt⇒x dx=-dt18

Q: Calculate the following integrals. dx (a)

A: Note:  As per our guidelines, we are supposed to answer only one question. Kindly repost other…