Q244 / 270 · NDA 2019 (Phase 1) · Mathematics

What is $\int e^{x \ln (a)} d x$ equal to ?

  • Correct answer
    A
    $\frac{a^x}{\ln (a)}+c$
  • B
    $\frac{e^x}{\ln (a)}+c$
  • C
    $\frac{e^x}{\ln (a e)}+c$
  • D
    $\frac{a e^x}{\ln (a)}+c$

Solution

$\int e^{x \ln (a)} \cdot d x$ $=\int e^x \cdot d x=\frac{a^x}{\ln (a)}+c$

Hence, the correct answer is option: 'A'.

Relevant Questions