(a)[4]
Find the value of $\int 4e^x(3 + e^{2x})\,dx$.
(b)[4]
Show that the integral $\int_{-\tfrac{1}{4}\pi}^{\tfrac{1}{4}\pi} (3 + 2\tan^2\theta)\,d\theta$ is equal to $\tfrac{1}{2}(\theta + \pi)$.
Mathematics 9709 · AS & A Level · Integration
Mathematics 9709 · AS & A Level · Integration
Find the value of $\int 4e^x(3 + e^{2x})\,dx$.
Show that the integral $\int_{-\tfrac{1}{4}\pi}^{\tfrac{1}{4}\pi} (3 + 2\tan^2\theta)\,d\theta$ is equal to $\tfrac{1}{2}(\theta + \pi)$.