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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:

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

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

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  4. If in a geometric progression consisting of positive terms, each term ...

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  5. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

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  6. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

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  7. The function f(x)=(4sin^2x-1)^n(x^2-x+1),n in N , has a local minimum...

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  9. The number of roots of the equation 2sqrt(2x+1)=2x-1 is equal to

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  11. Let f(0) and int(0)^(2) f'(2t)e^(f(2t))dt=5 . Then the value of f(4) i...

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  12. The value of c in Rolle's theorem for the function f(x)=(x(x+1))/(e^(x...

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  13. Maximum value of |z+1+i|, where z in S is (a)sqrt(2) (b) 2 (c)...

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  14. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

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  15. If ("log"a)/(b-c) = ("log"b)/(c-a) = ("log"c)/(a-b), "then" a^(a)b^(b)...

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  16. Value of 'alpha' for which system of equations x+y+z=1,x+2y+4z=alpha a...

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  17. if alpha,beta be the roots of the equation (x-a)(x-b)+x=0(c ne0), then...

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  18. Let f(x) be a function such that f''(x) = f'(x) + e^x and f'(0) =1 ,f(...

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  19. If |(x^2-5x+3, 2x-5, 3) (3x^2+x+4, 6x+1, 9) (7x^2-6x+9, 14 x-6, 21)| =...

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  20. Draw the graph of y=|x^(2)-3|x|+2|.

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