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Popular Calculus >

integral of sqrt(x^8)

Solution

\int x^{8} d x

Solution

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

Solution steps

\int x^{8} d x

x^{8} = x^{4},

assuming

x \geq 0

= \int x^{4} d x

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (3x^2-7x+4)/x

\int \frac{3 x ^{2} - 7 x + 4}{x} d x

integral of 7/2-x

\int \frac{7}{2} - x d x

integral of 5/(xsqrt(x+1))

\int \frac{5}{x x + 1} d x

integral of (2x)/(x^2+4x+6)

\int \frac{2 x}{x ^{2} + 4 x + 6} d x

integral of sin^2(x)in(x)

\int sin^{2} (x) d sin (x) d x

Frequently Asked Questions (FAQ)

What is the integral of sqrt(x^8) ?
The integral of sqrt(x^8) is (x^5)/5+C