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Popular >

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

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

= 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

Popular Examples

integral of (x^2)/(a^2-x^2)

\int \frac{x ^{2}}{a ^{2} - x ^{2}} d x

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\int cos^{8} (3 x) sin (3 x) d x

integral of (x^2+2)/(x^2-3x+2)

\int \frac{x ^{2} + 2}{x ^{2} - 3 x + 2} d x

integral of e^{(-x)/5}

\int e^{\frac{- x}{5}} d x

integral of \sqrt[5]{(2-aw^2)^3}w

Frequently Asked Questions (FAQ)

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