Evaluate the integral. VZ/2 dr V1-2

Q: Calculate the integral

A:

Q: Evaluate the integral. 1 dr 25 + r2

A: we will let  25+r2=t2        to solve this question.

Q: Evaluate the integrals

A: As per company guidelines, I can solve only one question.

Q: Evaluate the integral. S (2 - VI) dr

A:

Q: 5. Determine if the integral is conve 0. exdx -1/2 V1-e 2x

A: Given query is to find integral converges or diverges.

Q: Evaluate the integral. + 5v7 dv

A:

Q: (xt2) (x+2), x+1dx

A: Consider the integrals: ∫x+2x+1  dx…

Q: Evaluate the integral. dA, R = [0, 6] × [0, 16] x + 1

A:

Q: xdx J Væ +3

A:

Q: Evaluate the integral. 8.

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

Q: Evaluate the integral. S- V1- xp

A: ∫un du =un+1n+1+C

Q: tVt2 + 2dt.

A: we can evaluate  the given integral by substitution method(Substitute  u=t²+2).

Q: 12sin3xcos7x dx

A:

Q: dæ x – 3Vx + 10

A: Consider the given integral problem: I=∫7x-3x+10dx Apply substitution method: Substitute x+10=t,…

Q: Evaluate the integral of 2e2xdx from 0 to 1

A: Our Aim is to evaluate the integral given below:-∫012e2x dx -(i)

Q: Evaluate the integral. S (4x' – - 3x? + 2x) dx

A: The integration of the term 4x3-3x2+2x limit from 1 to 2.

Q: z · 3°dz

A:

Q: Evaluate the integral. 1 dr V4 +2

A:

Q: Evaluate the integral.

A: Given integral  to evaluate ∫25dr1+2r This can be integrated using substitution Substitute 1+2r=x…

Q: V3 d) dr VT² + 1

A:

Q: 1. S V16 – 4x²dx

A:

Q: Evaluate the integrals

A:

Q: Evaluate the integral.

A: Let the given intergral be y -y = ∫01r34+r2dry = ∫01r24+r2 r drLet,x = r2Diffrentiating with respect…

Q: Evaluate the integrals

A: Consider the integration as I=∫01x2+xdx

Q: the exaet V alde Of the integral. a

A: The objective is to show the exact value for the integral, ∫01axdx This can be re written as,…

Q: Evaluate the integrals

A: The given integral is ∫12 s2+ss2.

Q: Evaluate the integral (1 + 2y)ªdy.

A:

Q: Evaluate the integral for x > 1/2: x2 100x2 - 25 = xp

A: We have to find the indefinite integral

Q: 1 V3 - 4zdz

A:

Q: yz dxdzdy -126 -84

A:

Q: Evaluate the integrals.

A: Given: ∫14v+vvdv

Q: Evaluate the integrals.

A: To evaluate: ∫015re3r2+2dr. Let substitute t=3r2+2 dtdr=6r+0dtdr=6rdt6=r dr Limit will also change…

Q: 1. x² +1

A: some integrals are given, we have to integrate it

Q: Calculate the integral ∫6e^xdx

A:

Q: find the integral I Jr*-16 Jx

A: We use the trigonometric Identity  (Secx)^2-(tanx)^2=1

Q: Evaluate the integral 22V4 – 2² dz

A: Use the trigonometric substitution to evaluate the given integral. Also calculate the limits for…

Q: S (e* - ) av

A: Solve the above integration.

Q: dr. r² – 25

A: Given integral, ∫xx2-25dx

Q: Evaluate the integral 1 et drdydz. 0.

A:

Q: Evaluate the integral: VI+2

A:

Q: 2. Evaluate the integral

A: To integrate

Q: z · 3°dz

A:

Q: Evaluate the integral: =°/1+ 64z*dz

A:

Q: 8xdx 1 — 4еx?

A:

Q: Evaluate the integral. dr V 25 + 2

A:

Q: Compute the integral by algebraic substitution: ∫7/2+√x-4 dx

A: We need to compute the integral ∫72+x-4 dx Now, using the property ∫a fx+bgx dx=a∫ fx dx+b∫gx dx…

Q: (a) +8+16

A:

Q: Evaluate the integral. 13 dr 16 + r2

A:

Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.

Q: Evaluate the integral |-1|2 – 4z| de

A: