Which function is an antiderivative of $\cos x$?
A$\tan x$
B$-\sin x$
C$-\cos x$
D$\sin x$
Answer & Solution
Correct answer: D. $\sin x$
1. An antiderivative $F$ of $f$ satisfies $F'(x)=f(x)$.
2. We need $F$ with $F'(x)=\cos x$.
3. Since $\dfrac{d}{dx}(\sin x)=\cos x$, the antiderivative is $\sin x$.
_Source: NCERT Class 12 Mathematics Ch 7 "Integrals", p.289_
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