## Integrals

The command '\int ... d?' is for indefinite integral, instead of the dots you should use the integrand and instead of ? - the variable of integration.

\int \frac{1}{x\sqrt{x^2-1}} dx

To check yourself enter the following formula in TeX:

To represent a definite integral use the command '\int_{...}^{...} ... d?', the first dots is for lower limit, the second is for upper limits and the rest placeholders mean the same as in indefinite integral (integrand and variable of integration).

\int_{0}^{1} x^2 dx= \frac{1}{3}

For upper and lower limits any expression is allowed. To insert infinity (∞) use the '\infty' command.

To test the mastery of the material write the following formula in TeX format: