AP EAMCET · Maths · Indefinite Integration
If \(\int e^x\left(f(x)-f^{\prime}(x)\right)=g(x)+C\), then \(\int e^x f^{\prime}(x) d x=\)
- A \(\frac{1}{2}\left[e^x f(x)-g(x)\right]+C\)
- B \(\frac{1}{2}\left[e^x f(x)+g(x)\right]+C\)
- C \(\frac{e^x f^{\prime}(x)+g(x)}{2}+C\)
- D \(\frac{1}{2}\left[e^x f(x)+e^x g(x)\right]+C\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2}\left[e^x f(x)-g(x)\right]+C\)
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