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Popular >

integral of (x^5)/x

Solution

\int \frac{x ^{5}}{x} d x

Solution

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

Solution steps

\int \frac{x ^{5}}{x} d x

Cancel the common factor:

x

= \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

Popular Examples

integral of (x^2)/(sqrt(49+x^6))

\int \frac{x ^{2}}{49 + x ^{6}} d x

simplify y-x^2 simplify

y - x^{2}

sum from n=1 to infinity of 5/n-5/(n+1)

n = 1 \sum \infty \frac{5}{n} - \frac{5}{n + 1}

integral from 0 to pi/2 of 6cos^5(x)

\int_{0}^{\frac{π}{2}} 6 cos^{5} (x) d x

derivative of sqrt(tan^2(3x)+1)derivative of

tan^{2} (3 x) + 1

Frequently Asked Questions (FAQ)

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