# Operations with infinity Calculator

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e
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### Difficult Problems

1

Example

$\int x^{11\left(-1\right)}dx$
2

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\frac{x^{-10}}{-10}$
3

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{\frac{1}{x^{10}}}{-10}$
4

Simplifying the fraction

$\frac{1}{-10x^{10}}$
5

$\frac{1}{-10x^{10}}+C_0$