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Mathematics 7 Online
OpenStudy (itz_sid):

Can someone help me understand this?

OpenStudy (itz_sid):

OpenStudy (gracygirl):

@jabez177 @Jaynator495 @AloneS @Awolflover1

OpenStudy (jango_in_dtown):

When one or both limits are infinity, it is of type 1

OpenStudy (jango_in_dtown):

when the function has discontinuity at either of the end points, it is of type 2 improper integral

OpenStudy (jango_in_dtown):

1st problem . 1/(x-7) has discontinuity at x=7

OpenStudy (jango_in_dtown):

and it is the lower limit of integration

OpenStudy (jango_in_dtown):

so can you answer the 1st question now?

OpenStudy (itz_sid):

Yea B

OpenStudy (jango_in_dtown):

correct

OpenStudy (jango_in_dtown):

i guess you can answer all the 4

OpenStudy (itz_sid):

What about #4?

OpenStudy (jango_in_dtown):

cot 0 in undefined

OpenStudy (jango_in_dtown):

infinite discontinuity. so??

OpenStudy (itz_sid):

Oh B. But uh how is cot 0 undefined? D:

OpenStudy (jango_in_dtown):

cot 0= cos 0 / sin 0 sin 0=0 , so denominator is 0

OpenStudy (jango_in_dtown):

actually to compute the integral compute

OpenStudy (jango_in_dtown):

by changing the 0 to epsilon and then after evaluating the integral, put epsilon=0

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