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Year 12 Maths Advanced (2027) Integral calculus

The Reverse Chain Rule

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Questions
Question 1
188595
For \(n\ne -1\), the reverse chain rule gives \(\displaystyle\int f'(x)\,[f(x)]^{n}\,dx\) equal to:
A.
\(\dfrac{[f(x)]^{n+1}}{n+1}+C\)
B.
\(\dfrac{f'(x)[f(x)]^{n+1}}{n+1}+C\)
C.
\(\dfrac{[f(x)]^{n-1}}{n-1}+C\)
D.
\([f(x)]^{n+1}+C\)
\(\dfrac{[f(x)]^{n+1}}{n+1}+C\)

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