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Popular >

integral of e^{2ln(x)}

Solution

\int e^{2 l n (x)} d x

Solution

\frac{x ^{3}}{3} + C

Solution steps

\int e^{2 l n (x)} d x

Simplify

e^{2 l n (x)} : x^{2}

= \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= \frac{x ^{3}}{3}

Add a constant to the solution

= \frac{x ^{3}}{3} + C

Popular Examples

integral of (8x+5)

\int (8 x + 5) d x

integral of x/((5-x^2)^2)

\int \frac{x}{( 5 - x ^{2} ) ^{2}} d x

36y^{''}+60y^'+25y=0

36 y^{^{''}} + 60 y^{^{'}} + 25 y = 0

integral from 1 to e of ln(7x)

\int_{1}^{e} ln (7 x) d x

derivative of e^xcos(4x)

\frac{d}{d x} (e^{x} cos (4 x))

Frequently Asked Questions (FAQ)

What is the integral of e^{2ln(x)} ?
The integral of e^{2ln(x)} is (x^3)/3+C