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Popular >

integral of sqrt(X)

Solution

\int X d X

Solution

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

Solution steps

\int X 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

limit as x approaches 0 of (1+1/x)^{5x}

x \to 0 lim ((1 + \frac{1}{x})^{5 x})

integral from 6 to 8 of (14)/((x-6)^3)

\int_{6}^{8} \frac{14}{( x - 6 ) ^{3}} d x

limit as x approaches a of ((sin(x))/(sin(a)))^{1/(x+a)}

x \to a lim ((\frac{sin ( x )}{sin ( a )})^{\frac{1}{x + a}})

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

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

area 3x+3,4x+4,-1,3 area

3 x + 3, 4 x + 4, - 1, 3

Frequently Asked Questions (FAQ)

What is the integral of sqrt(X) ?
The integral of sqrt(X) is 2/3 X^{3/2}+C