(a)[2]
Find quotient and remainder when $x^2$ is divided by $1 + 4x^2$.
(b)[6]
Find the exact value of the integral $\int_{0}^{0.5} x \tan^{-1}(2x) \, dx$.
Mathematics 9709 · AS & A Level · Integration
Find quotient and remainder when $x^2$ is divided by $1 + 4x^2$.
Find the exact value of the integral $\int_{0}^{0.5} x \tan^{-1}(2x) \, dx$.