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Mathematics · JEE | INTEGRALS

हिन्दी

Evaluate \( \int e^{2x+3} \, dx \).

  1. A
    \( \frac{1}{2} e^{2x+3} + C \)
  2. B
    \( 2 e^{2x+3} + C \)
  3. C
    \( e^{2x+3} + C \)
  4. D
    \( \frac{1}{3} e^{2x+3} + C \)
View Answer & Solution

Correct answer · Option A

\( \frac{1}{2} e^{2x+3} + C \)

Explanation

Using substitution \( 2x+3 = t \), \( 2dx = dt \), the integral transforms to \( \frac{1}{2}\int e^t dt = \frac{1}{2}e^{2x+3} + C \).
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