What is the integral of 6/13 x^{13/7} ?

The integral of 6/13 x^{13/7} is 21/130 x^{20/7}+C

Popular >

integral of 6/13 x^{13/7}

\int \frac{6}{13} x^{\frac{13}{7}} d x

\frac{21}{130} x^{\frac{20}{7}} + C

Solution steps

\int \frac{6}{13} x^{\frac{13}{7}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{6}{13} \cdot \int x^{\frac{13}{7}} d x

Apply the Power Rule

: \frac{7}{20} x^{\frac{20}{7}}

= \frac{6}{13} \cdot \frac{7}{20} x^{\frac{20}{7}}

Simplify

\frac{6}{13} \cdot \frac{7}{20} x^{\frac{20}{7}} : \frac{21}{130} x^{\frac{20}{7}}

= \frac{21}{130} x^{\frac{20}{7}}

Add a constant to the solution

= \frac{21}{130} x^{\frac{20}{7}} + C

\int \frac{5 x ^{2} + x}{( 20 x ^{3} + 6 x ^{2} ) ^{2}} d x

\int \frac{- 1}{x ^{6}} d x

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

\int 2 cos (2 x) e^{s i n (2 x)} d x

\int cos (in x) d x

What is the integral of 6/13 x^{13/7} ?
The integral of 6/13 x^{13/7} is 21/130 x^{20/7}+C