MCQ
Which of the following are true ?
  • A
    $\int\limits_a^{\pi \, - \,a} {\,x\,\,.\,\,f\,(\sin \,x)} dx$ $=$ $\frac{\pi }{2}$ $\int\limits_a^{\pi \, - \,a} {\,\,f\,(\sin \,x)} $ $dx$
  • B
    $\int\limits_{ - \,a}^a {\,f\,{{(x)}^2}} dx = 2$. $\int\limits_0^a {\,f\,{{(x)}^2}} dx$
  • C
    $\int\limits_0^{n\,\pi } {\,f\,\,\left( {{{\cos }^2}x} \right)} dx = n$.$\int\limits_0^\pi  {\,f\,\,\left( {{{\cos }^2}x} \right)} dx$
  • All of the above

Answer

Correct option: D.
All of the above
d

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