## Calculus Tutorial

*Calculus Integration*

#### Intro

Calculus is how different things vary with respect to one another. There are two main components, differentiation and integration. We will do an integration problem here.

#### Sample Problem

The problem is “solve the integral of Ln (x) ^2”

#### Solution

Integration by substitution is highly unlikely to be effective in this case. Hence, let’s try integration by parts, setting f(x)=Ln (x)^2 and g(x)=1

Then, the integral becomes xLn (x)^2 minus the integral of x times 1/x times 2Lnx dx. Then we do integration by parts once again, with f(x)=lnx and g(x)=1 and the ultimate answer is xLn (x)^2-2xLn (x)+2x+C, where C is an arbitrary constant.

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