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Popular >

integral of e^

Solution

\int e^{d} x d x

Solution

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

Solution steps

\int e^{d} x d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of f(x)=(x^4)/4+1/(8x^2)derivative of

f (x) = \frac{x ^{4}}{4} + \frac{1}{8 x ^{2}}

limit as x approaches 3 of x-5

x \to 3 lim (x - 5)

integral of x(8x+7)^8

\int x (8 x + 7)^{8} d x

limit as x approaches 0+of (1-cos(x))/x

x \to 0 + lim (\frac{1 - cos ( x )}{x})

integral of r^{-3}

\int r^{- 3} d r

Frequently Asked Questions (FAQ)

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