(1)

\

Step 1:

\

The integral is \"\".

\

Sum and difference rule of integral : \"\".

\

\"\"

\

Power rule of integral formula : \"\".

\

                                     \"\"

\

\"\".

\

Solution :

\

\"\".

\

 

\

(2)

\

Step 1:

\

The integral is \"\".

\

Sum and difference rule of integral : \"\".

\

\"\"

\

Power rule of integral formula : \"\".

\

                                     \"\"

\

\"\".

\

Solution :

\

\"\".

\

 

\

(3)

\

Step 1:

\

The integral is \"\".

\

Domain :

\

All possible values of x is the domain of the function.

\

The domain of the function is \"\".

\

Therefore the function is not continuous at \"\".

\

Improper integrals :

\

If f is discontinuity at c, where \"\", and both \"\" and \"\" are convergent.

\

Then \"\".

\

Therefore the integraal is \"\".

\

Step 2:

\

Consider \"\".

\

Sum and difference rule of integral : \"\".

\

\"\"

\

Power rule of integral formula : \"\".

\

                                     \"\"

\

\"\".

\

Step 3:

\

Consider \"\".

\

Sum and difference rule of integral : \"\".

\

\"\"

\

Power rule of integral formula : \"\".

\

                                     \"\"

\

\"\".

\

\"\"

\

Solution :

\

\"\".