Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:
If \(f(x)=\int_{0}^{x} t \sin t dt\), then \(f^{\prime}(x)\) is
Options:
\(cos x+x \sin x\)
\(x \sin x\)
\(x \cos x\)
\(\sin x+x \cos x\)
Correct Answer:
\(x \sin x\)
Explanation:
\(\frac{d}{dx}\left(\int_{a}^{x}f(t)dt\right)=f(x)\)