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Popular >

integral of e^{ln(x)}x

Solution

\int e^{l n (x)} x d x

Solution

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

Solution steps

\int e^{l n (x)} x d x

Simplify

e^{l n (x)} x : x^{2}

= \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of f(x)=3x^2+5x+1 derivative of

f (x) = 3 x^{2} + 5 x + 1

derivative of y= 1/((x^2-3)(x^2+3x+3))derivative of

y = \frac{1}{( x ^{2} - 3 ) ( x ^{2} + 3 x + 3 )}

integral of 8sin^2(x)-2sin(x)-1

\int 8 sin^{2} (x) - 2 sin (x) - 1 d x

tangent of f(x)= 3/(sqrt(x)),\at x=1 tangent of

f (x) = \frac{3}{x}, at x = 1

derivative of f(x)=(3x^2)/(x^3-8)derivative of

f (x) = \frac{3 x ^{2}}{x ^{3} - 8}

Frequently Asked Questions (FAQ)

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