Find the indefinite integrals, if possible, using the formulas and techniques you have studied so far in the text.(a) 11 x4 dxThis integral can be evaluated using the basic integration rules. This integral cannot be evaluated using the basic integration rules. (b) 8x1 x4 dxThis integral can be evaluated using the basic integration rules. This integral cannot be evaluated using the basic integration rules. (c) 3x31 x4 dxThis integral can be evaluated using the basic integration rules. This integral cannot be evaluated using the basic integration rule

a) This integral can be evaluated using the basic integration rules.

b) This integral can be evaluated using the basic integration rules.

c) This integral can be evaluated using the basic integration rules.

Step-by-step explanation:

a)

In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:

so in this case we would get:

b)

In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:

So we can now use the power rule of integration:

c) The same applies to this problem:

and now we can use the power rule of integration: