WBJEE · Maths · Indefinite Integration
\(\int 2^x\left(f^{\prime}(x)+f(x) \log 2\right) d x\) is
- A \(2^x \mathrm{f}^{\prime}(\mathrm{x})+\mathrm{C}\)
- B \(2^x f(x)+C\)
- C \(2^x(\log 2) f(x)+C\)
- D \((\log 2) f(x)+C\)
Answer & Solution
Correct Answer
(B) \(2^x f(x)+C\)
Step-by-step Solution
Detailed explanation
Hints: \(I=\int 2^x f^{\prime}(x) d x+\int 2^x f(x) \log 2 d x\) \(=2^x f(x)\)
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