CAIE A Level Mathematics 9709 · Integration (A2)

Integration (A2): calculation question

4 marksStandard

Use the substitution $u = 3x + 1$ to evaluate the definite integral $\int_{{0}}^{{2}} (3x + 1)^{3} \, dx$ giving your answer exactly.

(a)
Evaluate the integral $\int_{{0}}^{{2}} (3x + 1)^{3} \, dx$ using the substitution $u = 3x + 1$ .
[4]

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