(a)[4]
Evaluate $\int \frac{4 + \sin^2 \theta}{1 - \sin^2 \theta} \, d\theta$.
(b)[4]
Using the fact that $\int_0^a \frac{2}{3x + 1} \, dx = \ln 16$, determine the value of the positive constant $a$.
Mathematics 9709 · AS & A Level · Integration
Mathematics 9709 · AS & A Level · Integration
Evaluate $\int \frac{4 + \sin^2 \theta}{1 - \sin^2 \theta} \, d\theta$.
Using the fact that $\int_0^a \frac{2}{3x + 1} \, dx = \ln 16$, determine the value of the positive constant $a$.