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