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int(dx)/(cosx+sqrt(3)sinx) equals: (1) ...

`int(dx)/(cosx+sqrt(3)sinx)` equals: (1) `1/2logtan(x/2+pi/(12))+c` (2) `1/2logtan(x/2-pi/(12))+c` (3) `logtan(x/2+pi/(12))+c` (4) `logtan(x/2-pi/(12))+c`

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int(1)/(cos x+sqrt(3)sin x)dx equals ( i )log(tan((x)/(2)+(pi)/(12)))+c( (ii) log(tan((x)/(2)-(pi)/(12)))+c( iii) (1)/(2)*log(tan((x)/(2)+(pi)/(12)))+c( iv )(1)/(2)*log(tan((x)/(2)-(pi)/(12)))+c

int1/(cosx+sqrt(3)sinx)\ dx is equal to logtan(pi/3+x/2)+C (b) logtan(x/2-pi/3)+C (c) 1/2logtan(x/2+pi/3)+C (d) none of these

int(dx)/(sqrt(3)sin x+cos x)=A log_(e)tan(Bx+c)+K then (A)A=(1)/(2)(B)B=-(1)/(2)(C)C=(pi)/(12) (D) C=(pi)/(4)

If sin x+sqrt(3)cos x=sqrt(2) then general solution of x 2n pi+(pi)/(12) 2n pi-(pi)/(12) 2n pi+(5 pi)/(12) 2n pi-(5 pi)/(12)

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If y=(x^(4)-x^(2)+1)/(x^(2)+sqrt(3)x+1) and (dy)/(dx)=ax+b then the value of a-b is (a)cot((pi)/(8))(b)cot((pi)/(12))(c)tan((5 pi)/(12))(d)tan((5 pi)/(8))

int_0^(pi//2)(sinx)/(s in x+cos x)dx equals to pi//2 b. pi//4 c. pi//3 d. pi

int_1^(sqrt(3))1/(1+x^2)dx is equal to pi/(12) b. pi/4 c. pi/6 d. pi/3

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JEE MAINS PREVIOUS YEAR-INTEGRALS-All Questions
  1. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

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  2. Let F(x)""=""f(x)""+""f(1/x),"w h e r e"f(x)=intt^x(logt)/(1+t)dtdot ...

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  3. int(dx)/(cosx+sqrt(3)sinx) equals: (1) 1/2logtan(x/2+pi/(12))+c (...

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  4. The value of sqrt(2)int(sin"x"dx)/(sin(x-pi/4)) is: (1) x+log|cos(x-pi...

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  5. Let I=int0^1(sin)/(sqrt(x))dx"and"J=int0^1(cosx)/(sqrt(x))dx Then w...

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  6. Let p(x) be a function defined on R such that p '(x)""=""p '(1-x) , fo...

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  7. The value of int0^1(8log(1+x))/(1+x^2)dx is: (1) pilog2 (2) pi/8lo...

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  8. If g(x)""=int0xcos4t"dt" , then g(x""+pi) equals: (1) (g(x)/(g(pi) (2...

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  9. If the integral int(5tanx)/(tanx-2)dx=x+a"ln"|sinx-2cosx|+k then a i...

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  10. If intf(x)dx=psi(x) , then intx^5f(x^3")"dx is equal to

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  11. The integral int(1+x-1/x)e^(x+1/x)dx is equal to (1) (x-1)e^(x+1/x)+C...

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  12. The integral int0^pisqrt(1+4sin^2(x/2)-4sin(x/2)dx) equal (1) pi-4 ...

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  13. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

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  14. The integral int(dx)/(x^4 - 1)^(1/4) equal:

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  15. The integral int(2x^(12)+5x^9)/((x^5+x^3+1)^3)dx is equal to: (1) (-x^...

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  16. Let In=inttan^n xdx ,(n >1) If I4+I6=atan^5x+b x^5+C , Where ...

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  17. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to:

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