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Popular >

integral of 5x^5

Solution

\int 5 x^{5} d x

Solution

\frac{5 x ^{6}}{6} + C

Solution steps

\int 5 x^{5} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int x^{5} d x

Apply the Power Rule

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

= 5 \cdot \frac{x ^{6}}{6}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 x ^{6}}{6}

Add a constant to the solution

= \frac{5 x ^{6}}{6} + C

Popular Examples

derivative of (1+cos^2(x))^5 derivative of

(1 + cos^{2} (x))^{5}

sum from n=0 to infinity of ((e^n))/5

n = 0 \sum \infty \frac{( e ^{n} )}{5}

derivative of-8x^3

\frac{d}{d x} (- 8 x^{3})

integral from 1/7 to 5 of 6xln(7x)

\int_{\frac{1}{7}}^{5} 6 x ln (7 x) d x

derivative of 8/(x-3)

\frac{d}{d x} (\frac{8}{x - 3})

Frequently Asked Questions (FAQ)

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