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Let f(x)=7tan^8x+7tan^6x-3tan^4x-3tan^2x...

Let `f(x)=7tan^8x+7tan^6x-3tan^4x-3tan^2x` for all `x in (-pi/2,pi/2)` . Then the correct expression (s) is (are) (a) `int_0^(pi/4)xf(x)dx=1/(12)` (b) `int_0^(pi/4)f(x)dx=0` (c) `int_0^(pi/4)xf(x)=1/6` (d) `int_0^(pi/4)f(x)dx=1/(12)`

A

` int_(0)^(pi//4)xf(x) dx =(1)/(12)`

B

` int_(0)^(pi//4)f(x) dx =0`

C

` int_(0)^(pi//4)xf(x) dx =(1)/(6)`

D

` int_(0)^(pi//4)f(x) dx =(1)/(12)`

Text Solution

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The correct Answer is:
A, B
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ARIHANT MATHS ENGLISH-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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