Question 7 - A-Level Maths

Exam Board	OCR
Module	H240/03 (Pure Mathematics and Mechanics)
Topic	Integration by Substitution

Find \(\int 5 x ^ { 3 } \sqrt { x ^ { 2 } + 1 } \mathrm {~d} x\).
Find \(\int \theta \tan ^ { 2 } \theta \mathrm {~d} \theta\). You may use the result \(\int \tan \theta \mathrm { d } \theta = \ln | \sec \theta | + c\).