Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[3]

Evaluate $\int 4\cos^2\left(\tfrac{1}{2}\theta\right) \, d\theta$.

(b)[4]

Find the exact value of $\int_{-1}^{6} \frac{1}{2x + 3} \, dx$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Rewrite the integrand in the form $p\cos\theta + 2$.

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