Evaluate the Definite Integral using integration 7 by parts : In(4x) da 1 - 6 O 7 In(28) – In(4) O 7 In(28) + In(4) O 7 In(28) – In(4) O 7 In(28) + In(4) – 6 8 - 8

Q: Evaluate each of the following integrals: 4sin-1(6x2) хе a) V1-36x* dx

A: Hi there, at a time we can answer only one question at a time and the exact one was not specified.…

Q: L ܛ 2 [T+ ] 3 + 16% ܓ

A: Given integral:- L=∫0131+16x212dx

Q: what did you multiply and divide by 2? how did you get 1/2 outside the integral?

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Q: 2x ०5+.a

A: We use substitution method to solve this integration

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: 2 2 10z Vr? + 4 dr

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Q: dXニ I+6

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Q: 10x ME 10. 4+ 25x'

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Q: a – 5x3 + 6x2 - 18 (ii) dr a3 – 3x²

A: Using integration

Q: Evaluate the Definite Integral using integration by 7 parts : In(9x) dx O 7 In(63) + In(9) O 7…

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Q: Find the integral

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Q: 1 dr, 4x2 + 4x + 2 Ind: 4x2 + 4x+2 (2x+ 1)² + 1

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Q: Evaluate the integral: dx 4 4V x -4 + =(x²-4)/2 + c 8 x - 4 + 3/2 + C ******** 3/2 (x²-4)2 + C -4+C

A: We have to evaluate the integral value.

Q: Use the substitution method to evalu ate the integral. /2

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Q: Evaluate the integral

A: Given integral" ∫1-4x2dx Substitute x=sint2 and differentiate it w.r.t "t'…