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Popular >

integral of e(x)

Solution

\int e (x) d x

Solution

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

Solution steps

\int e x d x

Take the constant out:

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

= e \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral of (x-6)/(x^2+x-6)

\int \frac{x - 6}{x ^{2} + x - 6} d x

d/(d{z)}(ln((cos({x}){y})^{{z}}))

\frac{d}{d z} (ln ((cos (x) y)^{z}))

integral of 8x^3(2x^4+4)4

\int 8 x^{3} (2 x^{4} + 4) 4 d x

7t(dy)/(dt)+y=sqrt(t)

7 t \frac{d y}{d t} + y = t

area x^2+2,2x+5,[-1,3]area

x^{2} + 2, 2 x + 5, [- 1, 3]

Frequently Asked Questions (FAQ)

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