3 (x²–4)ž 4. (x2–4)ž

Q: a) Solve the following iterated integrals holding Fubini's Theorem. 1. 1 '(x+y)dydx

A:

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

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: 3.Evaluate the following integrals by any method of your choice S(1+) ) dt a. 6x2 b. (4х3 - 9)3

A: We have to find integral

Q: 10 Suppose that " fx) dx and Ax) dx = -5, and "g(x) dx = -1 and g(x) dx = 3. Compute the given…

A: Given,∫04f(x)dx=7∫02f(x)dx=-5∫04g(x)dx=-1∫02g(x)dx=3

Q: 5. Evaluate the definite integral (1+Inx) а. b. S dx. 2x+3

A: a) ∫1e1+ln x2xdxb) ∫-1112x+3dx

Q: In(x) Differentiate the function F(x) = | cos(e') dt %3| 1/r Show and justify your work. (Hint:…

A:

Q: Evaluate the iterated integrals: 4 2 S[x* +xy}dydx 0 1

A:

Q: Consider the indefinite integral r523 + 2х? — 72х-32 2x2 – 72x dx 16 - Then the integrand decomposes…

A: Evaluate definite integral ∫5x3+2x2-72x-32x2-16dx

Q: Compute the given indefinite integral. fir (2 – 4)(x + 3)dæ | +C

A: Given integral, ∫x-4x+3dx

Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

A:

Q: 1. ſ (x-1)dx x2+5x+6

A: The given integration is ∫(x-1)x2+5x+6 dx  We have to find the integration for the given integral

Q: 1 Determine the definite integral of 4 3(Vx) xp (DE + x^)S

A: Let I=∫49x+13xdxApply the Sum Rule:…

Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

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

A:

Q: Evaluate the 2 improper integrals attached with this question.

A: Given integrals are

Q: Evaluate the integral. HINT: 3 x2 dx J2 x - 1

A:

Q: Evaluate the indefinite integral. x2 + C dx J (x²-7)5/2 x(² –7)

A:

Q: Evaluate the integral.

A: Given integral: ∫121241-x2dx

Q: 3. S e*V1– e*dx

A:

Q: 6 In x Evaluate the iterated integral given that the evaluation of the inner integral is 7x 3 In x…

A: ∫1e∫1e23lnx7xydydx

Q: Evaluate the given definite integral [ 2x³ – 6x² dx, from x = 1 to x = 2 X²

A:

Q: 2x(x+, こメP

A: Solve

Q: 1. Determine the following integrals: 1- 2 (a) dar- (b) |

A:

Q: Q2:- Apply romberg's method to the integral of f(x) = nx*cos(-Tx to 2 with Tol = 10-4

A: Given function is f(x)=14πx4cos14πx, we have to integrate above function from 0 to 2. Formula for…

Q: Find the indefinite integral. 4x2+2x-1 d.x none of these Omz + 1| -31m|z미-글+C o+ Inz* + =*|+C In a+1…

A: Given: I=∫4x2+2x-1x3+x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And…

Q: 2. Find the indefinite integral (Scos(4x) + √x dx

A:

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: 6. Evaluate the integrals So (x² +1) e-* dx a- b- Sx2V2 + x dx

A: Given :(a) ∫01(x2+1)e-xdx(b) ∫x22+xdx

Q: Evaluate the indefinite integral. dt (t +7) + C

A:

Q: 7. Find the Lebesgue integral over [0, 2] for the following function. f(x) = { , EQ 3z +2, IEI %3D

A: Given  f(x)=x2        x∈Q3x+2  x∈I

Q: 1. Use integration by parts to find the integral below. In(x19)– 9x10+C a. b. x ·In(x1)– 10x10+ C c.…

A:

Q: Find the indefinite integral.

A: Consider the given integral ∫2-1tt2dt

Q: (5x° + 4x + Ix Consider the indefinite integral dx x2 – 1 Then the integrand decomposes into the…

A:

Q: 2) evaluate the indefinite integral £x² 9+X² dx

A: The main objective is to evaluate the integral. The integral formula is ∫xndx=xn+1n+1+C, where C is…

Q: Q2/Evaluated the integrals v2 1- f– (1-v2 )2

A: The integration of v2/(1-v2)5/2.

Q: 2. Evaluate these indefinite integrals: dt (d) S; dt 2t2+5t+3

A: Given that a integration  and we solve it by using general property of integration. Here i attached…

Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: Find the general indefinite integral. √ (9 -1) (4 +1²) dt

A: Solution of given question is written in below steps.

Q: 1) Find the indefinite integral of the following functions: 3 2x+ 3x4 a) y = Axt B 3 b) y =x-1 +…

A: Indefinite Integration

Q: 1. Find the following indefinite integrals (any 4) (2/x* - 7x' +10e* – 1)dx (x* + 1)e* iii) dt +3x…

A:

Q: 2 Evaluate the improper integral 4x e dx, if exists. 8.

A: Given that,           ⇒           ∫-∞2e4x dx   ,   if exist             ⇒         find the…

Q: 1 (x² +a) b dx is In 5x The resulting integral of +eTan-1 + C, where a, b, d, and e are integers. x³…

A: Given:∫5xx3+x2+4x+4dx= ln⁡x2+a1bx+d+eTan−1⁡x2+C Let, I=∫5xx3+x2+4x+4dx ⇒I=∫5xx2(x+1)+4(x+1)dx…

Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

Q: 3 Suppose that f(x) dx = 7, | f(x) dx = 5, and | f(x) dx = 10. %3D Evaluate the following definite…

A: (a) The given integral is: I=∫35f(x)dx As we know from the integral theorem,…

Q: Evaluate the integral d.x (V4 – x²)³ 0. -

A:

Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

A:

Q: 2 Find f(x) + 2g(x)]dx if / F(x)]dx = 5 and [g(x)]dx = 3. -1 1) In order to evaluate this integral,…

A: Here we have to evaluate the given integral.

Q: Find the general indefinite integral.   ∫ (u +4)  (2u +1)   du

A:

Q: A. B. Evaluate the following integrals using substitution method: (³-1) ²/3 √2 5.² 0 √r sin (1 + x²)…

A:

Q: Evaluate the integral of ax^2 e^bx dx assume a and b are constants.

A: Please see the explanation below