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Popular >

integral of x^5

Solution

integral

x^{5}

Solution

\frac{x ^{6}}{6} + C

Solution steps

\int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= \frac{x ^{6}}{6}

Add a constant to the solution

= \frac{x ^{6}}{6} + C

Popular Examples

integral of cos^3(3x)-cos(3x)

\int cos^{3} (3 x) - cos (3 x) d x

integral of 1/(sqrt(1+16x^2))

\int \frac{1}{1 + 16 x ^{2}} d x

integral of (x^3)/(x^4cos^2(ln(x)))

\int \frac{x ^{3}}{x ^{4} cos ^{2} ( ln ( x ) )} d x

integral of ((x^3+5x^2-4)/(x^2))

\int (\frac{x ^{3} + 5 x ^{2} - 4}{x ^{2}}) d x

integral of ((ln^5(x)))/x

\int \frac{( ln ^{5} ( x ) )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of x^5 ?
The integral of x^5 is (x^6)/6+C