Given that 10 Sº f S f. fe f(x) o dx = 7, = 7.S.² [ f(x) dx = 12, and f(x) dx = [Select] f(x) dx = [Select] 10 f(x) dx = 4, evaluate the following integrals:

Q: Q1 - Evaluate the following integral: J (2x2-3x+2) dx (x-1)2 (x-2)

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Q: |an also converges because 0 If an converges then < lan|, for n = 1, 2, ... n=1 n=1

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Q: Evaluate the following integrals 3x dx (x2 – 4)2 4. dx b) (3x- 2)*

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Q: Determine the following integrals. f(x² −5x+6)dx a. b. 4 √(²²-27) dr dt C. √√√x³ dx d. f(x^2 + 2x +…

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Q: Evaluate the integral. 150 dx (x + 1)(x² + 9)²

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

Q: (a) o'x dx .. -8 x (b) dx 0 4 .. ..

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Q: A. Evaluate the following integrals by substitution. 1. fx(2x2 + 3)%dx x5 2. S; dx (x6-8)2 3. Sx V1-…

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Q: Evaluate  integral.

A: Let the given integral function be  ₀∫⁵(x4y+y)dx  First we have to separate into two integral terms…

Q: Write the following as a single integral: A. g(x) dx B. g(x) dx C. f(x) dr D. L9 dx 9(x) dx E. [9(x)…

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Q: 00 dx 1 3 x³ (x²-9)Z x2.

A: Let I is the value of given Integral.

Q: The product of two numbers x and x + 170 can be simplified to be x + х.

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Q: 4x³dx 9. 3

A: We have to find the integral of the following -  ∫4x3x3dx

Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: dx ,n = 10 1+x?

A: This question can be solved by any of the approximation method of finding the value of definite…

Q: Use the substitution u = √(x) to calculate the indefinite integral from image.

A: Given:∫x​+x​3dx​First, we need to simplify the denominator, we have:=∫x​+(x​)2x​1​dx=∫x​+xx​1​dxWe…