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help-computing definate integrals?

0 votes

asked May 14, 2015 in CALCULUS by anonymous

3 Answers

0 votes

(1)

Step 1:

The integral is .

Sum and difference rule of integral : .

Power rule of integral formula : .

                            

.

Solution :

.

answered May 14, 2015 by joseph Apprentice
0 votes

(2)

Step 1:

The integral is .

Sum and difference rule of integral : .

Power rule of integral formula : .

                             image

image.

Solution :

image.

answered May 14, 2015 by joseph Apprentice
0 votes

(3)

Step 1:

The integral is .

Domain :

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

The domain of the function is image.

Therefore the function is not continuous at image.

Improper integrals :

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

Then .

Therefore the integral is image.

Step 2:

Consider image.

Sum and difference rule of integral : .

image

Power rule of integral formula : .

                             image

image.

answered May 14, 2015 by joseph Apprentice

Step 3:

Consider image.

Sum and difference rule of integral : .

image

Power rule of integral formula : .

                              image

image.

image

Solution :

image.

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