The following integral can be evaluated by using substitution: a) b) c) Identify the inside function. = Differentiate: Factorise this: Rewrite the whole integral in terms of u and du: f Simplify and cancel a² +5: f Integrate with respect to u: Hence write down the indefinite integral: du 4 (2²+5) (2³+ 15z)³ dr du [4 (2²+5) (2³ +152)³ dz (Don't forget the constant of integration as this is an indefinite integral.)

Q: Evaluate the integral by making the appropriate substitution: u = 38 fa² (2³ − 1) ³ dx = [ - 38 fx²…

A: Topic = Integration

Q: Use the technique of completing the square to evaluate the following integrals. 163. 1. .2 + 10x

A:

Q: Evaluate the integral: ³√25x²dx √2³ √25 - 22²

A: The given integral

Q: dr V9+ 8a-a2

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

Q: Evaluate the integral: integral of cos1001 xsin5 xdx

A: Solution is given below..

Q: dx (2x + 3)(1–x) 1. a) Integral Number in the attached Table: b) Values of the constants: a = b = c)…

A:

Q: Evaluate the integral: LIVE 1 I√9r²+25 dr.

A: We will solve the given question using simple Integration rules.