What is the integral of x^{1.2}+7x^{2.5} ?

The integral of x^{1.2}+7x^{2.5} is 0.45454…x^{2.2}+2x^{3.5}+C

Popular >

integral of x^{1.2}+7x^{2.5}

\int x^{1.2} + 7 x^{2.5} d x

0.45454 \dots x^{2.2} + 2 x^{3.5} + C

Solution steps

\int x^{1.2} + 7 x^{2.5} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{1.2} d x + \int 7 x^{2.5} d x

\int x^{1.2} d x = 0.45454 \dots x^{2.2}

\int 7 x^{2.5} d x = 2 x^{3.5}

= 0.45454 \dots x^{2.2} + 2 x^{3.5}

Add a constant to the solution

= 0.45454 \dots x^{2.2} + 2 x^{3.5} + C

\int arctan (x) \frac{1}{1 + x ^{2}} d x

\int \frac{4 x ^{2}}{sin ( x ^{3} - 5 )} d x

\int x^{2} sin^{2} (a x) d x

\int - 10 x^{3} 9 - x^{2} d x

\int sin^{2} (\frac{x}{5}) cos (\frac{x}{5}) d x

What is the integral of x^{1.2}+7x^{2.5} ?
The integral of x^{1.2}+7x^{2.5} is 0.45454…x^{2.2}+2x^{3.5}+C