integral question below explain me how to find the limits

Asked by zaffar mohammed | 23rd Mar, 2012, 04:29: PM

Expert Answer:

We know that fom -1 to 0 , x is negative and sin(piex) is also negative so fom -1 to 0 the given function is x.sin(piex)
Also fom 0 to 1 , x and sinpiex are both positive so the function is x.sin(piex)
zNow in case of limits 1 to 3/2 , x is positive but sinpiex lies in the third quadrant (pie , 3pie/2) , so the function is taken as -x.sinpiex
 
Now the given function can be integrated using by parts .

Answered by  | 23rd Mar, 2012, 04:51: PM

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