Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

\(\int f^{'}(ax+b)[f(ax+b)]^ndx=\)

Options:

\(\frac{1}{n+1}[f(ax+b)]^{n+1}+c\) for all \(n\) except \(n\neq -1\)

\(\frac{1}{n+1}[f(ax+b)]^{n+1}+c\) for all \(n\)

\(\frac{1}{a(n+1)}[f(ax+b)]^{n+1}+c\) for all \(n\)

\(\frac{1}{n+1}[f(ax+b)]^{a(n+1)}+c\) for all \(n\) except \(n\neq -1\)

Correct Answer:

\(\frac{1}{n+1}[f(ax+b)]^{a(n+1)}+c\) for all \(n\) except \(n\neq -1\)

Explanation:

Put \(ax+b=t\)