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Popular Calculus >

integral of ln(e^{2x})

Solution

\int ln (e^{2 x}) d x

Solution

x^{2} + C

Solution steps

\int ln (e^{2 x}) d x

Apply Integration By Parts

= 2 x^{2} - \int 2 x d x

\int 2 x d x = x^{2}

= 2 x^{2} - x^{2}

Simplify

= x^{2}

Add a constant to the solution

= x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of ln(e^{2x}) ?
The integral of ln(e^{2x}) is x^2+C