Evaluate the repeated integral: a) 0 12 e² - 12 e b) 06 c) 0 24 d) 12 e) 0 24 e² - 24 e f) O None of these. [[ ³²² ³2 Z 3x+3y dz dx dy

Q: 2. Find a) ³ dx b) xdx. Hence, find whether the following integrals exist and, if they do, find…

A: To evaluate the given improper integrals

Q: Find the indefinite integral. |cos 2x ein 2* de sin 2x A) 2 +C ein 2x +C B) C) sin 2x e cos2x +C D)…

A:

Q: 8. Evaluate the integrals below. a) 27 3 •3√x X. dx b) 2 (80x√x + = 17) dx = (1+²+3 -1 2 X x-3 + +27…

A:

Q: Evaluate the integral. dx A) In x4 +c B) In x4? + c c) In x4? +c -(In D) -+c In x4

A: Here we will substitute ln x4 = u to solve this integration.

Q: Evaluate the integrals dr b) 24 dy yVy-16 c) x+3 2r - 8x (6)

A:

Q: Evaluate the integral. ,7 6 dx 12)

A: Evaluate the integral.     ∫576dx

Q: Find the integrals. Ax dx a)

A: Given : ∫5e-4xdx

Q: 2) Evaluate the following definte integrals: a) 4√-3V

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

Q: Consider how we can evaluate this integral using u-substitution: x S dx. √2x+1 If we let u = 2x+1,…

A: This question can be solved by integration by substitution.

Q: the substitution formula to evaluate the integral. 4 cos³ x sin x dx T/3 27) 15 A) 15 B). 15 3276 D)…

A: Given query is to find the value of the integral.

Q: Step by step

A:

Q: 2) (-x+ 4x-5) de 14 A) 4.667 3

A: The given integral is ∫24-x3+4x2-5dx.

Q: Evaluate the following integrals 3. a) da b)/(1+ 3) (1+esin cos a da c) 9t Vt +1dt 0.

A: Given

Q: 2. Use symmetry to evaluate the given integrals. -200 A) S, 2x5 dx -200 В) cos х -п/4 B) S"/ cOS x…

A: A) ∫-2002002x5 dxB) ∫-π4π4 cos x dx