A) 1
B) 0
C) \[\frac{14}{15}\times \frac{12}{13}\times \frac{10}{11}\times \frac{8}{9}\times \frac{6}{7}\times \frac{4}{5}\times \frac{2}{3}\]
D) None of these
Correct Answer: B
Solution :
[b] \[\because I=\int\limits_{-1}^{1}{si{{n}^{15}}x.dx}\] \[\because of(x)=si{{n}^{15}}x\] \[\therefore f(-x)={{\{sinn(-x)\}}^{15}}=-si{{n}^{15}}x\] \[\because f(x)\]is odd function, so by the property of definite integral \[I=\int\limits_{-1}^{1}{f(x)=dx}=0\] \[I=\int\limits_{-1}^{1}{{{\sin }^{15}}x=dx}=0\]You need to login to perform this action.
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