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Popular >

integral of x^{13/2}

Solution

\int x^{\frac{13}{2}} d x

Solution

\frac{2}{15} x^{\frac{15}{2}} + C

Solution steps

\int x^{\frac{13}{2}} d x

Apply the Power Rule

: \frac{2}{15} x^{\frac{15}{2}}

= \frac{2}{15} x^{\frac{15}{2}}

Add a constant to the solution

= \frac{2}{15} x^{\frac{15}{2}} + C

Popular Examples

integral of (ln(x))/(x(1-ln(x)))

\int \frac{ln ( x )}{x ( 1 - ln ( x ) )} d x

integral of xsqrt(100-(x-10)^2)

\int x 100 - (x - 10)^{2} d x

integral of (2t^2+1)^{1/3}t^3

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

integral of (4t^2-5)^2

\int (4 t^{2} - 5)^{2} d t

integral of (x^4-5x^3+6)

\int (x^{4} - 5 x^{3} + 6) d x

Frequently Asked Questions (FAQ)

What is the integral of x^{13/2} ?
The integral of x^{13/2} is 2/15 x^{15/2}+C