What is the integral of (x^{1.3}+11x^{4.5}) ?

The integral of (x^{1.3}+11x^{4.5}) is 0.43478…x^{2.3}+2x^{5.5}+C

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integral of (x^{1.3}+11x^{4.5})

\int (x^{1.3} + 11 x^{4.5}) d x

0.43478 \dots x^{2.3} + 2 x^{5.5} + C

Solution steps

\int x^{1.3} + 11 x^{4.5} 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^{1.3} d x + \int 11 x^{4.5} d x

\int x^{1.3} d x = 0.43478 \dots x^{2.3}

\int 11 x^{4.5} d x = 2 x^{5.5}

= 0.43478 \dots x^{2.3} + 2 x^{5.5}

Add a constant to the solution

= 0.43478 \dots x^{2.3} + 2 x^{5.5} + C

1 + 2 t

\int \frac{u}{u ^{2} + 1} d u

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

\int ln (x^{2}) d x

\int 2 x (x^{2} + 2)^{- 3} d x

What is the integral of (x^{1.3}+11x^{4.5}) ?
The integral of (x^{1.3}+11x^{4.5}) is 0.43478…x^{2.3}+2x^{5.5}+C