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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Indefinite Integration

NDA 2019 · Mathematics · Indefinite Integration

What is ∫ e^ x (a) d x equal to ?

What is ∫exln⁡(a)dx\int e^{x \ln (a)} d x equal to ?

Options

  1. Aaxln⁡(a)+c\frac{a^x}{\ln (a)}+c
  2. Bexln⁡(a)+c\frac{e^x}{\ln (a)}+c
  3. Cexln⁡(ae)+c\frac{e^x}{\ln (a e)}+c
  4. Daexln⁡(a)+c\frac{a e^x}{\ln (a)}+c

Correct answer

A. axln⁡(a)+c\frac{a^x}{\ln (a)}+c

Step-by-step solution

∫exln⁡(a)⋅dx=∫ex⋅dx=axln⁡(a)+c\int e^{x \ln (a)} \cdot d x=\int e^x \cdot d x=\frac{a^x}{\ln (a)}+c
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