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Popular >

integral of 10x^5

Solution

\int 10 x^{5} d x

Solution

\frac{5 x ^{6}}{3} + C

Solution steps

\int 10 x^{5} d x

Take the constant out:

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

= 10 \cdot \int x^{5} d x

Apply the Power Rule

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

= 10 \cdot \frac{x ^{6}}{6}

Simplify

10 \cdot \frac{x ^{6}}{6} : \frac{5 x ^{6}}{3}

= \frac{5 x ^{6}}{3}

Add a constant to the solution

= \frac{5 x ^{6}}{3} + C

Popular Examples

integral of sin(6x)sin(x)

\int sin (6 x) sin (x) d x

integral of cos(5x+2)

\int cos (5 x + 2) d x

integral of ((2ln(x)+3)^3)/x

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

integral of (3x^2-5x+1)/(x-4)

\int \frac{3 x ^{2} - 5 x + 1}{x - 4} d x

integral of 1/(sqrt(x)+\sqrt{1+x)}

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

Frequently Asked Questions (FAQ)

What is the integral of 10x^5 ?
The integral of 10x^5 is (5x^6)/3+C