Match the answers to its antiderivative. Antiderivative Answer A. J kda In(z) + C II. B. ['dr + C aek II. -1 kx + C IV. D. Saek da +C r+1

Q: (a) / #(8+ 2²) dz = +C. -3x6 + 6x12 dx = (b) +C. -3 (c) / (6 + x*)² dx = +C.

A: Explanation of the answer is as follows

Q: csc? (x) — 2 сot(х) + 3

A: From the given data

Q: 48. sec r dr 3

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Q: 04.2 If x=7i-j+k, y = 3í - j - 5k and z = 9i + j - 3k Show that xx (y+z) = (x x y) + (x x z)

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Q: =e*² and y = x²e² don't have elementary antiderivatives, but y = (2x² + 1)² does. Evaluate [ (2x² +…

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Q: 3 Find the antiderivative of: 6x²+4x by differentiating r+a? b e3z+1 by differentiating e3æ+1 a c Va…

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Q: Q(t) = Find an antiderivative of q(t) = (t + 1)³

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Q: | sec 5x dx

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Q: A) Assume F(-2)=1 3. 2 -4 -2 -1 1 2 4 -1 3.

A: To solve the graph and find the antiderivative

Q: Ax → Ar y=f(x). 30 -3 -2 3 6.

A: We have to determine that at which value of x given function is not differentiable

Q: • S/S₂ (² + ₁ · 9 - 5z) dV . E Evaluate E = {(x, y, z) | −2 ≤ y ≤ 0,0 ≤ x ≤ y,0 < z<x+y²} √ (x+y. E…

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Q: 47. e2= sin(5x) dr

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Q: z6 dz z7 + 3

A: Integration

Q: J (V - 1) dx as

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Q: II. Find the value of x and y. 1. 4x + j(3y + 4) = 21 + j7 2. 3x + y + j(2x + 2y) = 13 + j10

A: Given equations are 1.  4x+j3y+4=21+j72.  3x+y+j2x+2y=13+j10 Solving for x and y.