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Popular Calculus >

integral of x^{9/10}

Solution

\int x^{\frac{9}{10}} d x

Solution

\frac{10}{19} x^{\frac{19}{10}} + C

Solution steps

\int x^{\frac{9}{10}} d x

Apply the Power Rule

= \frac{10}{19} x^{\frac{19}{10}}

Add a constant to the solution

= \frac{10}{19} x^{\frac{19}{10}} + C

Graph

Popular Examples

integral of (x^7-3x)/(x^6)

\int \frac{x ^{7} - 3 x}{x ^{6}} d x

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

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

integral of x(x^2-7)^{7/2}

\int x (x^{2} - 7)^{\frac{7}{2}} d x

integral of (x-1)(x+3)

\int (x - 1) (x + 3) d x

integral of (arctan^3(3x))/(1+9x^2)

\int \frac{arctan ^{3} ( 3 x )}{1 + 9 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{9/10} ?
The integral of x^{9/10} is 10/19 x^{19/10}+C