In Monday’s class, student found many antiderivatives using the Substitution Method. The basic process is illustrated below for the antiderivative

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Let’s look at the basic steps.

- Choose the expression for
*u*. This is generally the inside part of a composition in the integrand. Use the derivative to find an other expression for*du*. - Match the integrand with
*u*and*du*. All variables in the original integrand must change to*u*. - Change the integrand so that it is written in terms of
*u*. - Work out the antiderivative in terms of
*u*. - Put in the expression for
*u*so that the antiderivative is written in terms of the original variable.

Now let’s look at the examples carried out in class.

**Problem 1** –

**Problem 2** –

**Problem 6** –