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Popular >

integral of 3e^2x

Solution

integral

3 e^{2} x

Solution

\frac{3 e ^{2} x ^{2}}{2} + C

Solution steps

\int 3 e^{2} x d x

Take the constant out:

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

= 3 e^{2} \cdot \int x d x

Apply the Power Rule

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

= 3 e^{2} \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 e ^{2} x ^{2}}{2}

Add a constant to the solution

= \frac{3 e ^{2} x ^{2}}{2} + C

Popular Examples

integral of 1/((a^2+b^2))integral

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x^{3} \cdot (e^{- x})^{2}

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\frac{x ^{2}}{( x ^{3} + 1 ) ^{\frac{1}{2}}}

Frequently Asked Questions (FAQ)

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