Question 6 - A-Level Maths

Exam Board	OCR MEI
Module	C3 (Core Mathematics 3)
Topic	Integration by Substitution

Find \(\int ( 2 x - 3 ) ^ { 7 } \mathrm {~d} x\).
Use the substitution \(u = x ^ { 2 } + 1\), or otherwise, to find \(\int _ { 1 } ^ { 2 } x \left( x ^ { 2 } + 1 \right) ^ { 3 } \mathrm {~d} x\).