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intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se ...

`intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se q u a lto` `2/3sin^(-1)(cos^(3/2)x)+C` `3/2sin^(-1)(cos^(3/2)x)+C` `2/3cos^(-1)(cos^(3/2)x)+C` (d) none of these

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intsqrt((cosx-cos^3x)/(1-cos^3x))dx is equal to (a) -2/3sin^(-1)(cos^(3/2)x)+C (b) 3/2sin^(-1)(cos^(3/2)x)+C (c) 2/3cos^(-1)(cos^(3/2)x)+C (d) none of these

The value of intsqrt((sinx-sin^3x)/(1-sin^3x))dx is equal to (A) sin^-1sin^(3/2)x+C (B) 2/3sin^-1(sin^(3/2)x)+C (C) -2/3cos^-1(sin^(3/2)x)+C (D) none of these

intcosx/sin^2x(1-3cos^3x)dx

int(1)/(cos^(2) x-3 sin^(2) x)dx

Solve the equation sin^(2)x + cos^(2)3x=1

If sin^(-1)x-cos^(-1)x=pi/6 , then x= (a) 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

("lim")_(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/2 (d) 1

int(sin^(3)x)/((1+cos^(2)x)sqrt(1+cos^(2)x+cos^(4))x)dx is equal to

sin[cot^(-1){tan(cos^(-1)x)}]i se u q a lto x (b) sqrt(1-x^2) (c) 1/x (d) None of these

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find the name of the conic represented by sqrt((x/a))+sqrt((y/b))=1.

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  2. Let vec a , vec b , vec c be three linearly independent vectors, tehn...

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  3. intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se q u a lto 2/3sin^(-1)(cos^(3...

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  4. The area bounded by the curves y""=""cos""x""a n d""y""=""s in""x betw...

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  5. Let coefficient of a^4b^2c^2d^6 in (a+b+c+d)^(14) i s A Then is 'A' ...

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  6. Let f(x)=sqrt(|x|-|x+)(w h e r e{dot} denotes the fractional part of (...

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  7. Square of the distance between the integral points of intersection o...

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  8. int 1/ sqrt (a^2 + x^2) dx = log ( x + sqrt(x^2 + a^2)) + c

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  9. The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a ...

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  10. Let alpha=l tsum(r=1)^(r-n)1/(r(r+1)) be root of a x^2+b x+c=0,b ,c ar...

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  11. If veca,vecb and vecc are non coplaner vectors such that vecbxxvecc=ve...

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  12. A vector of magnitude sqrt(2) coplanar with the vecrtor vec a= hat i+...

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  13. vecalpha and vecbeta are two unit vectos and vecr is a vector such tha...

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  14. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  15. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  16. "Let " f(x) ={underset("log(1//2) (X +(1)/(2)), 0 lt X lt (3)/(2))unde...

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  17. Find the distance of the point (2, 3, -5) from the plane x+2y-z-9=0.

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  18. If differentiable function f(x) in inverse of g(x) then f^(g(x)) is eq...

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  19. f(x) is a continuous function for all real values of x and satisfies i...

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  20. If 3xx3 order matrix A is such that det(A)= 2 then |A(a d jA)| is (a...

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