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Popular >

integral of sqrt(x)^2

Solution

\int x^{2} d x

Solution

\frac{x ^{2}}{2} + C

Solution steps

\int (x)^{2} d x

Simplify

(x)^{2} : x

= \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{2}}{2} + C

Popular Examples

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

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

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

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

integral of 1/(x+1+sqrt(x+1))

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

integral of sqrt(x)-1/(x^2)

\int x - \frac{1}{x ^{2}} d x

integral of e^{8x}cos(4x)

\int e^{8 x} cos (4 x) d x

Frequently Asked Questions (FAQ)

What is the integral of sqrt(x)^2 ?
The integral of sqrt(x)^2 is (x^2)/2+C