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int (x^(2)+sin^(2)x)/(1+x^(2))sec^(2)x d...

`int (x^(2)+sin^(2)x)/(1+x^(2))sec^(2)x dx`

A

`tanx+C`

B

`tanx-tan^(-1)x+C`

C

`tanx+tan^(-1)x+C`

D

none of these

Text Solution

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The correct Answer is:
B
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FIITJEE-TIPS-OBJECTIVE
  1. inte^(x)(4x^(2)+8x+3)dx equals

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  2. If int(dx)/(x^(22)(x^7-6))=A{ln(p)^6+9p^2-2p^3-18 p}+c, then

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  3. int (x^(2)+sin^(2)x)/(1+x^(2))sec^(2)x dx

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  4. int e^(x)((2 tanx)/(1+tanx)+cot^(2)(x+(pi)/(4)))dx is equal to

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  5. The solution of the differential equation y^(2)dx+(x^(2)-xy + y^(2))dy...

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  6. int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

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  7. Let f(x)={{:(x|x|",", x le -1),([x+1]+[1-x]",",-1ltxlt1),(-x|x|",",x g...

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  8. If f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2 and int0^1 f(x)dx=(2A)/pi then ...

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  9. The value of int(a)^(b)(x-a)^(3)(b-x)^(4)dx is ((b-a)^(m))/(n). Then (...

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  10. Let f(x) be maximum and g(x) be minimum of {x|x|, x^(2)|x|} then int(-...

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  11. 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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  12. 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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  13. int (sin2x)/(3+4cosx)^3 dx=

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

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

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

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

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

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

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

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