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Popular >

integral of xe^e

Solution

\int x e^{e} d x

Solution

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

Solution steps

\int x e^{e} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral from 5 to 5 of 10x^4

\int_{5}^{5} 10 x^{4} d x

(d^2)/(dx^2)(((x-4)(x^2+4x+16))/(x^3))

\frac{d ^{2}}{d x ^{2}} (\frac{( x - 4 ) ( x ^{2} + 4 x + 16 )}{x ^{3}})

(dy)/(dx)=10sqrt(x)y

\frac{d y}{d x} = 10 x y

inverse oflaplace (45)/(s(s+3)^2)inverse laplace

\frac{45}{s ( s + 3 ) ^{2}}

derivative of 7xe^{-kx}derivative of

7 x e^{- k x}

Frequently Asked Questions (FAQ)

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