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: Find the most general antiderivative. 4t dt O A. 12t° + 6. O B. +t+C O C. 8t++C OD. +C 18 2/9

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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: 1S The antiderivative of the function f(x)= a. b. 4V+c C. 8 3% 3 d. 4. +c

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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: Find the antiderivativef e* sinxdx A.je*(sinx – cosx) + c C. e*(sinx — cosx) + c Find the…

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Q: Q1- If w=x" e what the value of (n) will make y² ay (y² 3y) = x ду

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Q: A B h P k b IDENTIFY THE FOLLOWING: (A'U C) N B' (A' - B') NC (B - A) U (C - A) (B' N A)'N (A - C')

A: First, define the sets using the Venn diagram. Then identify the given sets.

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

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Q: |P(Vi + VE – t) dt

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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: a 6x²+4x by differentiating x3+a²

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

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: 4.1.Supp.C. Find the following antiderivatives using substitution. 1 dx 4 23.

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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: Determine the following antiderivatives. 4. S 2(x* + 1)1ºx²dx

A: we have to determine the following antiderivative: ∫2x4+110x7dx

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted…

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

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Q: The antiderivative of the function f(x) + 8z is -5 -4.0x + c 2 + 4.0x? +c 5. + 4.0x? + c - -8 +…

A: Simple write the given function then use the simple rule of antiderivative  .

Q: z6 dz z7 + 3

A: Integration

Q: J (V - 1) dx as

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Q: Hw/ Evaluate0/-4 Ans/4j उ१ 8. Ans/1 는 Ans/

A: We know that in complex number we have  i2=-1i4=1 So, from this we get to know that an power which…

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.