Find the following indefinite integrals: 3 a) b) 1 Se²x dx 2x 1 [3dx c) [ 10 cos 5x dx a) 4 sin 4 sin 3x dx

Q: valuate the integral of the functions

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Q: cos 5x dx 2. S 3 + sin 5x

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Q: 2x +4 3 x² - 2x² - dx

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Q: Csin $ 3 y cos*3 ychy

A:

Q: 3) Using the old "multiply by an equivalent of 1" idea... V1+sin x а) Evaluate the integral [Vi-sinx…

A: ∫1-sinx dx On simplification, we get ∫1-sinx dx=∫1-sinx·1+sinx1+sinx dx=∫1-sinx1+sinx1+sinx…

Q: Evaluate the integral [³ a S (1 + sin² x + ● . + sin¹6 x) dx

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Q: Use a table of integrals to find the indefinite integral

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Q: 10. Prove that T/2 75/2. sin e cos (cos a cosec 0) de 10 T 2 (1-cos a).

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Q: Systematically show the integrals of  1. sin2x cos2x dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Evaluate the integral | : sin 20 do 3+ cos 20 using the substitution u = 3+ cos 20. sin 20 Op 3+ cos…

A: In this question, we need to evaluate the integral ∫sin 2𝞱3+cos 2𝞱d𝞱 using the substitution…

Q: Evaluate the following integral

A: To integrate

Q: 1) Evaluate. x cosh ax dx

A: As per guideline we have to solve one question

Q: Question 3 Calculate the integral: 2x sin(3 x) dx 2 2 a) Ox cos(3x) + sin(3x) + C 2 b) O-x cos(3x) +…

A: Apply integration by parts

Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

Q: 2х 2 3 dx ex

A:

Q: B. Solve for the integrals of the following: 3x2 dx -5 COS xesinx -dr c) ] 4 4x a) b) dx esin z

A:

Q: :/4 1+sin0 do cos² 0 T/4

A: The integral to be solved is . The integral can be rewritten as sum of two integrals.

Q: Evaluate the integral in terms of inverse hyperbolic function x2 dx Vx² + 1

A: for a part see 2nd,3rd and 4th step. for b part