What is the integral of (x^{2.7}+x^{-1.3}) ?

The integral of (x^{2.7}+x^{-1.3}) is 0.27027…x^{3.7}-(3.33333…)/(x^{0.3)}+C

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integral of (x^{2.7}+x^{-1.3})

\int (x^{2.7} + x^{- 1.3}) d x

0.27027 \dots x^{3.7} - \frac{3.33333 \dots}{x ^{0.3}} + C

Solution steps

\int x^{2.7} + x^{- 1.3} 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^{2.7} d x + \int x^{- 1.3} d x

\int x^{2.7} d x = 0.27027 \dots x^{3.7}

\int x^{- 1.3} d x = - \frac{3.33333 \dots}{x ^{0.3}}

= 0.27027 \dots x^{3.7} - \frac{3.33333 \dots}{x ^{0.3}}

Add a constant to the solution

= 0.27027 \dots x^{3.7} - \frac{3.33333 \dots}{x ^{0.3}} + C

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What is the integral of (x^{2.7}+x^{-1.3}) ?
The integral of (x^{2.7}+x^{-1.3}) is 0.27027…x^{3.7}-(3.33333…)/(x^{0.3)}+C