Porisma

A hint to get started

Reverse a differentiated composite

Differentiate (5x2+2x+1)8(5x^2+2x+1)^8 with respect to xx. Hence find ∫(5x+1)(5x2+2x+1)7 dx\int(5x+1)(5x^2+2x+1)^7\,dx.

CJC · Lecture · Example 1

Use the derivative in the first ask as the integrand for the second.

The Teacher strategy is to try standard forms first, then use additional techniques when they do not fit.

Read the worked solution