ar integral of the c 3 – 7D2 + 7D – 2

Q: Evaluate the integral -9f5 dt /1² +2

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Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

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Q: 2sin2t=4sint+6 [0,2pi)

A: Answer and explanation is given below..

Q: Show that Y1 = X1/X2 and Y2 = X1 + X2 are independent and that Y2 isχ2(r1 + r2).

A: Given Y1=X1X2Y2=X1+X2

Q: verify that A(B + C) = AB + AC

A: Now,

Q: Find the antiderivative of  x4(5x5 + 1)5

A: To find out the antiderivative we use u- substitution method

Q: 2+3jy X-j

A: (2 + 3jy)/(x - j) = 2j            (2 + 3jy) = 2j (x - j)              2 + 3jy = 2xj - 2j2 We know…

Q: Compute -(-x - 3x²-x). ď² da²

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Q: 2t3 2. Evaluate dt (4 – 2t4)11

A: We have to solve the integration

Q: x+4 Calculate the integral 7x+6x-x2

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Q: Rationalize the denomina Vx +1 Vx +2 x +1 /x +2 (Simplify your answer.

A:

Q: Expand (x + y) 8.

A: Given: The expression x+y8.

Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

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Q: Find f(5x5 + 6x²) dx

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Q: 12-41-12 dx Evaluate the integral: I+2

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Q: (2 + j)?

A:

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: Integrate (2x + 5)(2² + 5x)² dr Select one: O A. (²+5x) + C OB. (2²+5x) + C OC. (x² + 5x) + C OD.…

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Q: a) [(5x4 + 3x² + 2x + 4)dx b) [(Vx² + 7x)dx

A:

Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

A:

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: dx In x +1+ Vx² + 2x| + C Vx2 + 2x

A:

Q: dx Evaluate 34 N2 + 3x - 2x

A:

Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: Evaluate Adx. S & dx Where A = X ² + 8x-3 and D=X²+3x B and 2

A: