Find the integral \( \int { e }^{ -3x }

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

Find the integral \( \int { e }^{ -3x } dx\)

Options:

\[\frac{ { e }^{ -3x } }{-3} +c\]

\[\frac{ { e }^{ -3x } }{3} +c\]

\[\frac{ { e }^{ 3x } }{-3} +c\]

\[\frac{ { e }^{ 3x } }{3} +c\]

Correct Answer:

\[\frac{ { e }^{ -3x } }{-3} +c\]

Explanation:

\( \int { e }^{ ax } dx\) = \[\frac{ { e }^{ ax } }{a} +c\]