2021HSCMultiple choice

Q2

1 mark

Question

Which expression is equal to $\int x^5e^{7x}\,dx$ ?

A. $\frac17x^5e^{7x}-\frac57\int x^4e^{7x}\,dx$
B. $\frac17x^5e^{7x}-\frac57\int x^5e^{7x}\,dx$
C. $\frac57x^4e^{7x}-\frac57\int x^4e^{7x}\,dx$
D. $\frac57x^4e^{7x}-\frac57\int x^5e^{7x}\,dx$

Try the question before revealing the answer.

Syllabus alignment

Calculus

Further IntegrationApply substitution, partial fractions, integration by parts and recurrence relationships to theoretical and practical problems.

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