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Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals1 Mark
MCQ
$\int e^{5 \log x} d x$ is equal to
  • A
    $\frac{x^5}{5}+C$
  • B
    $\frac{x^6}{6}+C$
  • C
    $5 x^4+C$
  • D
    $6 x^5+C$
✓

Answer

$\begin{array}{l}\text {Let } I=\int e^{5 \log x} d x \\ =\int e^{\log x^5} d x=\int x^5 d x \quad\left[\because e^{\log x}=x\right] \\ =\frac{x^6}{6}+C\end{array}$

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