What is the integral from 2 to 5 of 1/(x^4)+10x^5 ?

The integral from 2 to 5 of 1/(x^4)+10x^5 is 25935039/1000

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integral from 2 to 5 of 1/(x^4)+10x^5

\int_{2}^{5} \frac{1}{x ^{4}} + 10 x^{5} d x

\frac{25935039}{1000}

Decimal Notation

25935.039

Solution steps

\int_{2}^{5} \frac{1}{x ^{4}} + 10 x^{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_{2}^{5} \frac{1}{x ^{4}} d x + \int_{2}^{5} 10 x^{5} d x

\int_{2}^{5} \frac{1}{x ^{4}} d x = \frac{39}{1000}

\int_{2}^{5} 10 x^{5} d x = 25935

= \frac{39}{1000} + 25935

Simplify

\frac{39}{1000} + 25935 : \frac{25935039}{1000}

= \frac{25935039}{1000}

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What is the integral from 2 to 5 of 1/(x^4)+10x^5 ?
The integral from 2 to 5 of 1/(x^4)+10x^5 is 25935039/1000