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Popular >

integral of xsqrt(x^4)

Solution

\int x x^{4} d x

Solution

\frac{x ^{4}}{4} + C

Solution steps

\int x x^{4} d x

x^{4} = x^{2},

assuming

x \geq 0

= \int x x^{2} d x

Simplify

x x^{2} : x^{3}

= \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= \frac{x ^{4}}{4}

Add a constant to the solution

= \frac{x ^{4}}{4} + C

Popular Examples

y^'+5y=t+e^{-3t}

y^{^{'}} + 5 y = t + e^{- 3 t}

integral of (x^3)/8

\int \frac{x ^{3}}{8} d x

extreme f(x)=e^{rx}extreme points

f (x) = e^{r x}

derivative of (x^6)/(x^2)derivative of

\frac{x ^{6}}{x ^{2}}

tangent of f(x)=5+4x^2-2x^3,(2,5)tangent of

f (x) = 5 + 4 x^{2} - 2 x^{3}, (2, 5)

Frequently Asked Questions (FAQ)

What is the integral of xsqrt(x^4) ?
The integral of xsqrt(x^4) is (x^4)/4+C