Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[2]

Find quotient and remainder when $x^2$ is divided by $1 + 4x^2$.

(b)[6]

Find the exact value of the integral $\int_{0}^{0.5} x \tan^{-1}(2x) \, dx$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Obtain $\dfrac14$ as the quotient

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI