If `int(sqrt(5+x^(10)))/(x^(16))dx=a(1+(5)/(x^(10)))^(3//2)+C`,then a=A. `-(1)/(25)`B. `(1)/(75)`C. `-(1)/(75)`D. `-(1)/(150)`

If `int(sqrt(5+x^(10)))/(x^(16))dx=a(1+(5)/(x^(10)))^(3//2)+C`,then a=

1.	If `int(sqrt(5+x^(10)))/(x^(16))dx=a(1+(5)/(x^(10)))^(3//2)+C`,then a=A. `-(1)/(25)`B. `(1)/(75)`C. `-(1)/(75)`D. `-(1)/(150)`
Answer» Correct Answer - c We have , `I=int(sqrt(5+x^(10)))/(x^(16))dx` `rArrI=intsqrt((5+x^(10))/(x^(10)))xx(1)/(x^(11))dx` `rArr I=(-1)/(50)intsqrt(1+(5)/(x^(10)))xx(-50)/(x^(11))dx` `rArrI=-(1)/(50)intsqrt(1+(5)/(x^(10)))d(1+(5)/(x^(10)))` `rArrI=-(1)/(50)xx(2)/(3)(1+(5)/(x^(10)))^(3//2)+C=-(1)/(75)(1+(5)/(x^(10)))^(3//2)+C` `:. a=-(1)/(75)`

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If `int(sqrt(5+x^(10)))/(x^(16))dx=a(1+(5)/(x^(10)))^(3//2)+C`,then a=A. `-(1)/(25)`B. `(1)/(75)`C. `-(1)/(75)`D. `-(1)/(150)`

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