A) \[125\]
B) \[625\]
C) \[275\]
D) \[55\]
Correct Answer: D
Solution :
Given, \[\int_{0}^{1}{f(x)\,dx=5}\] Let \[I=100\int_{0}^{1}{{{x}^{9}}f({{x}^{10}})dx}\] Put \[{{x}^{10}}=t\Rightarrow 10{{x}^{9}}dx=dt\] \[\therefore \] \[I=100\int_{0}^{1}{\frac{f(t)}{10}}\,\,dt\] \[=10\times 5=50\] \[\therefore \] \[\int_{0}^{1}{f(x)\,dx+100\int_{0}^{1}{{{x}^{9}}f({{x}^{10}})dx}}\] \[=5+50=55\]You need to login to perform this action.
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