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Popular >

integral of e^{4ln(x)}

Solution

\int e^{4 l n (x)} d x

Solution

\frac{x ^{5}}{5} + C

Solution steps

\int e^{4 l n (x)} d x

Simplify

e^{4 l n (x)} : x^{4}

= \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{x ^{5}}{5}

Add a constant to the solution

= \frac{x ^{5}}{5} + C

Graph

Popular Examples

derivative of (x^3/2)

\frac{d}{d x} (\frac{x ^{3}}{2})

limit as x approaches 2+of 4x^2-2x+3

x \to 2 + lim (4 x^{2} - 2 x + 3)

tangent of f(x)=7sqrt(x),\at x=25 tangent of

f (x) = 7 x, at x = 25

derivative of ln(x^{3/2})derivative of

ln (x^{\frac{3}{2}})

inverse oflaplace (10)/(s(s+2))inverse laplace

\frac{10}{s ( s + 2 )}

Frequently Asked Questions (FAQ)

What is the integral of e^{4ln(x)} ?
The integral of e^{4ln(x)} is (x^5)/5+C