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Popular >

integral of 3ex

Solution

\int 3 e x d x

Solution

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

Solution steps

\int 3 e x d x

Take the constant out:

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

= 3 e \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 8x^{3/4}

\int 8 x^{\frac{3}{4}} d x

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

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

integral of (x-4)/((x-1)(x^2+1))

\int \frac{x - 4}{( x - 1 ) ( x ^{2} + 1 )} d x

integral of (ln(x^{16}))/x

\int \frac{ln ( x ^{16} )}{x} d x

integral of (x^4-2x^2)^6(x^3-x)

\int (x^{4} - 2 x^{2})^{6} (x^{3} - x) d x

Frequently Asked Questions (FAQ)

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