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int (sin2x)/(3+4cosx)^3 dx=...

`int (sin2x)/(3+4cosx)^3 dx=`

A

`(3 cos x+8)/((3+4 cos x)^(2))+C`

B

`(3+8 cos x)/(16(4 cos x)^(2))+C`

C

`(3+cosx)/((3+4cos x)^(2))+C`

D

`(3-8cos x)/(16(3+4 cos x)^(2))+C`

Text Solution

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The correct Answer is:
B
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FIITJEE-TIPS-OBJECTIVE
  1. If int(cos^(2)x)/(sin^(6)x)dx=A cot^(5)x+B cot^(3)x+k, then A+B equals

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  2. If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) ...

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  3. int (sin2x)/(3+4cosx)^3 dx=

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  4. (x dy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx

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  5. Let R be the set of all real numbers. The function f:Rrarr R defined b...

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  6. The range of the function f(x)=1/abs(sinx)+1/abs(cosx) is

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  7. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

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  8. Through any point (x, y) of a curve which passes through the origin, l...

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  9. The function f(x)=cos x - 2ax is monotonically decreasing when-

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  10. Consider the integrals I(1)=overset(1)underset(0)inte^(-x)cos^(2)xdx...

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  11. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)]dx , I2=i...

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  12. The vaue of int(0)^(1)xlogx dx must be

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  13. int dx/sqrt(x+xsqrtx) equals

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  14. If g be a differentiable function stisfying intg(x)dx=g(x)+c, then lim...

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  15. Let f:R->R be a function such that f((x+y)/3)=(f(x)+f(y))/3 ,f(0) = ...

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  16. Let f(x) = [ n + p sin x], x in (0,pi), n in Z, p a prime number and [...

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  17. The minimum value of (a^(2))/(cos^(2)x)+(b^(2))/(sin^(2)x)

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  18. The maximum value of (logx)/xd is

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  19. The area bounded by the tangents to the curve |y|=|e^(x)| at the point...

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  20. The orthogonal trajectories of the circle x^(2)+y^(2)-ay=0, (where a i...

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