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Popular Calculus >

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

= 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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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