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Popular >

integral of x^{1/a}

Solution

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

Solution

\frac{a x ^{\frac{1 + a}{a}}}{1 + a} + C

Solution steps

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

Apply the Power Rule

: \frac{a x ^{\frac{1 + a}{a}}}{1 + a}

= \frac{a x ^{\frac{1 + a}{a}}}{1 + a}

Add a constant to the solution

= \frac{a x ^{\frac{1 + a}{a}}}{1 + a} + C

Popular Examples

tangent of f(x)=3x^3-x^2+5,(2,25)tangent of

f (x) = 3 x^{3} - x^{2} + 5, (2, 25)

y^'+4xy=x^3e^{x^2}

y^{^{'}} + 4 x y = x^{3} e^{x^{2}}

d x = 4 (x^{2} + 1) d t

inverse oflaplace 1/((s+5))inverse laplace

\frac{1}{( s + 5 )}

inverse oflaplace 1/(5s-2)inverse laplace

\frac{1}{5 s - 2}

Frequently Asked Questions (FAQ)

What is the integral of x^{1/a} ?
The integral of x^{1/a} is (ax^{(1+a)/a})/(1+a)+C