(main)[9]
Find the exact value of $\displaystyle \int_{0}^{\frac{1}{2}} \frac{12}{(1 + 4x^2)^2}\,dx$. Give your answer in the form $a + b\pi$, where $a$ and $b$ are rational numbers.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Apply the substitution $2x = \tan\theta$ to determine the exact value of the integral.