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Popular >

integral of x^{1/2}

Solution

integral

x^{\frac{1}{2}}

Solution

\frac{2}{3} x^{\frac{3}{2}} + C

Solution steps

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

Apply the Power Rule

: \frac{2}{3} x^{\frac{3}{2}}

= \frac{2}{3} x^{\frac{3}{2}}

Add a constant to the solution

= \frac{2}{3} x^{\frac{3}{2}} + C

Popular Examples

integral of 2sqrt(x)(10x+3)

\int 2 x (10 x + 3) d x

integral of csc^2(a/b)x

\int csc^{2} (\frac{a}{b}) x d x

integral of (2t^2+2t)/(t^3-t^2+t-1)

\int \frac{2 t ^{2} + 2 t}{t ^{3} - t ^{2} + t - 1} d t

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

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

integral of 7/(2x^2-5x-3)

\int \frac{7}{2 x ^{2} - 5 x - 3} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{1/2} ?
The integral of x^{1/2} is 2/3 x^{3/2}+C