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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Indefinite Integration

NDA 2013 · Mathematics · Indefinite Integration

What is ∫ e^ x d x equal to? where c is constant of integration.

What is ∫eln⁡xdx\int e^{\ln x} d x equal to? where cc is constant of integration.

Options

  1. Axeln⁡x+cx e^{\ln x}+c
  2. B−xe−ln⁡x+c-x e^{-\ln x}+c
  3. Cx+cx+c
  4. Dx22+c\frac{x^2}{2}+c

Correct answer

D. x22+c\frac{x^2}{2}+c

Step-by-step solution

∫eln⁡xdx=x22+c\int e^{\ln x} d x=\frac{x^2}{2}+c
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