1.

Using properties evaluate the following definite integrals, evaluate the following:int_0^a sqrtx/(sqrtx+sqrt(a-x)) dx

Answer»

Solution :LET I = int_0^a SQRTX/(sqrtx + sqrt(a-X) dx` ___ (a)
Then I = `int_0^a sqrt(a-x)/sqrt(a-x)+ sqrt(a-(a-x)) dx`
=`int_0^a sqrt(a-x)/(sqrt(a-x)+sqrtx) dx` ____(b)
(a)+(b) `GT 2I = int_0^a dx`
=`[x]_0^a = a-0 gt I = a/2`


Discussion

No Comment Found

Related InterviewSolutions