ESTION 5 Find the indefinite integral: f(3x²-6x-5 +2x + 1)dx O to. x³+x-6+x²+x+C O b. + x² + x + C 3 x-+-x 2 O c. 6x²+x-6 +2+C O d. 3 x³ + x4+x² + C -3 -++ x² +C 2

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

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Q: 7x² dx Vx² – 16 - +C

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Q: Use substitution to evaluate the integral | (3x³ + 5)° . 27x²dx

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Q: Evaluate the integral: 5x/8x² – 1 dx - 5 (8x2 – 1)- + C (8a? – 1)-+ C (822 – 1) + C -(8x2 – 1) + C 8…

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Q: 16 dx 11. Vx-1 9.

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

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Q: Step by step

A: Given integral

Q: Evaluate the integral

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Q: Evaluate the integral : S 8x2+10x-6 (x-1)(x+1)z dx (2—1)(ӕ+1)? +C

A: Given: ∫8x2+10x-6x-1x+12dx To do: Evaluate the given integral.

Q: Find the integral. dx 3- 2х A 글메3-2x+C B -글 미 3-2지+ C c) 2 In 13 - 2x| +C D) - 2 In 13 - 2x| +C

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Q: x² + 2x + 1 dr- (x² + 1)² Falculate the integral

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Q: | (622 + 5) e"dr 0.

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Q: J 3x + 2 6x² + 8x + 5 -dx

A: Let 6x2 + 8x + 5 = t Then, we differentiate it to form integral in t

Q: le

A: the given integral is: ∫dxx2+2x+5 we have to evaluate and simplify the given integral.   let the…

Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

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Q: Evaluate the integral 2x + 5) (x² + 5x + 9) ³dx by making the substitution u = x² + 5x +9. + C NOTE:…

A: ∫xndx=xn+1n+1+cdxndx=nxn-1let x2+5x+9=u

Q: 2 Evaluate the integral: 3x(5-3x dx

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