(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 :
\.