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Question

Determine the ff idefinite integral 1. |(2x-1)^2 dx 2. |(2 7x)^3 dx

Answer 1

I ( 2x - 1)^2dx                                    I(27x)^3dx

2x-1 = u                                               27x = u

2dx = du                                             27dx = du

dx = du/2                                             dx = du/27

I u^2du/2 =                                         I u^3du/27 =

1/2 * u^3/3 =                                       1/27 * u^4/4 =

1/6 * (2x-1)^3                                       1/108 *(27x)^4