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Let f (x) = int x ^(2) cos ^(2)x (2x + 6...

Let `f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx and f (x)` passes through the point `(pi, 0)`
The number of solution (s) of the equation `f (x) =x ^(3)` in `[0, 2pi]` be:

A

0

B

3

C

2

D

None of these

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Verified by Experts

The correct Answer is:
B
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VIKAS GUPTA (BLACK BOOK)-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

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  2. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

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  3. Let f (x) be a twice differentiable function defined on (-oo,oo) such ...

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  4. Let f (x) be a twice differentiable function defined on (-oo,oo) such ...

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  5. Let f (x) be a twice differentiable function defined on (-oo,oo) such ...

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  6. Consider the function f (x) and g (x), both defined from R to R f (x...

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  7. Consider the function f (x) and g (x), both defined from R to R f (x...

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  8. Consider the function f (x) and g (x), both defined from R to R f (x...

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  9. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

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  10. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

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  11. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

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  12. Let f (a)(x) =In x and for n ge 0 and x gt 0 Let f (a)(x) = int (0)...

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  13. Let f (a)(x) =In x and for n ge 0 and x gt 0 Let f (a)(x) = int (0)...

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  14. Let f :R to [(3)/(4), oo) be a surjective quadratic function with line...

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  15. Let f :R to [(3)/(4), oo) be a surjective quadratic function with line...

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  16. let g(x)=x^c e^(cx) and f(x)=int0^x t e^(2t)(1+3t^2)^(1/2)dt. if L=l...

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  17. let g(x)=x^c e^(cx) and f(x)=int0^x t e^(2t)(1+3t^2)^(1/2)dt. if L=l...

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