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

Find antiderivatives of power, logarithmic, exponential and trigonometric functions, including a constant of integration.
Use substitution to integrate composite expressions and identify the resulting antiderivative.
Use an initial condition or a known point on a curve to determine the integration constant and hence find the function or curve equation.
Use an antiderivative to evaluate a definite integral or an area when the required bounds and function are given.

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Study SL 5.10—Indefinite integration conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[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