MHT CET · Maths · Indefinite Integration
If \(f(x)=x, g(x)=\sin x\), then \(\int f(g(x)) d x\) is equal to
- A \(\sin x+c\)
- B \(-\cos x+c\)
- C \(\frac{x^{2}}{2}+c\)
- D \(x \sin x+c\)
Answer & Solution
Correct Answer
(B) \(-\cos x+c\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \int f(g(x)) d x &=\int f(\sin x) d x \\ &=\int \sin x d x \\ &=-\cos x+c \end{aligned}\)
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