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Popular Calculus >

integral of in(2x)

Solution

\int in (2 x) d x

Solution

in x^{2} + C

Solution steps

\int in \cdot 2 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= in \cdot 2 \cdot \int x d x

Apply the Power Rule

= in \cdot 2 \cdot \frac{x ^{2}}{2}

Simplify

in \cdot 2 \cdot \frac{x ^{2}}{2} : in x^{2}

= in x^{2}

Add a constant to the solution

= in x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of in(2x) ?
The integral of in(2x) is inx^2+C