IB Maths AA SL 5.10 Indefinite Integration Questions

Practise integrating standard functions, choosing the correct antiderivative and constant, and checking the result by differentiation and domain or context.

Exam points

Integrate x^n, sin x, cos x, 1/x and e^x to obtain correct families of anti-derivatives, including the ln|x| form for 1/x.
Integrate composites with linear functions using reverse chain rule or substitution by inspection, checking the derivative of the result.

[Maximum number: 3]

Find $\int\left(\mathrm{e}^{4 x}+6\right) \mathrm{d} x$ .

It is given that $h^{\prime}(x)=\mathrm{e}^{4 x}+6$ and h(1.5)=105.

$\frac{1}{4} \mathrm{e}^{4 x}+6 x+c$

Note: Award A1 for each term.

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IB Maths AA SL 5.10 Indefinite Integration Questions question 1