Question 4 - A-Level Maths

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

4 Evaluate the following integrals, giving your answers in exact form. \begin{displayquote}

\(\int _ { 0 } ^ { 1 } \frac { 2 x } { x ^ { 2 } + 1 } \mathrm {~d} x\)
\(\int _ { 0 } ^ { 1 } \frac { 2 x } { x + 1 } \mathrm {~d} x\) \end{displayquote}