(i)[4]
Evaluate $\int_0^a \left(e^{-x} + 6e^{-3x}\right)\,dx$, with $a$ a positive constant.
(ii)[1]
Deduce the value of $\int_0^{\infty} \left(e^{-x} + 6e^{-3x}\right)\,dx$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate to form $pe^{-x}+qe^{-3x}$ where $p\neq1$, $q\neq6$” …
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