Class 12 Integrals · Mcq Single Correct1 Marksproduct_derivative
Class 12 Maths · Integrals · Mcq Single Correct #123
Which listed choice of f satisfies \(\int e^x[f(x)+f′(x)]dx=e^x\sin x+C\)?
✅ Step-by-Step Solution
Final Answer: Option (A): sin x
- Since d(e^xf)/dx=e^x(f+f′), f=sin x satisfies the displayed identity. More generally f=sin x+K e^(−x) works; only sin x appears among the listed options.
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