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int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotco...

`int(cos^3x)/(sqrt(sin^7x))dx=` `2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c` `1/2dotcos e c^(5/2)x+2sqrt(cose c x)+c` `-2/5dotsin^(5/2)x+2sqrt(cose c x)+c` None of these

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int(cos^(3)x)/(sqrt(sin^(7)x))dx=(2)/(5)*csc^((7)/(2))x+2sqrt(cos ecx)+c(1)/(2)*csc^((5)/(2))x+2sqrt(cos ecx)+c-(2)/(5)*sin^((5)/(2))x+2sqrt(cos ecx)+c None of these

int(cos xdx)/(sqrt(1+sin x))=2((sin x)/(2)+(cos x)/(2))+c

" (c) "int(x)/(sqrt(a^(2)-x^2))dx

If int(dx)/(cos^(3)x sqrt(sin2x))=a(tan^(2)x+b)sqrt(tan x)+c

int sqrt(1+sin x)dx=2(sin((x)/(2))-cos((x)/(2)))+c=2sqrt(1-sin x)+c

int(2x)/(sqrt(x^(2)-2x+7))dx=........+c

If sin x + cos x = sqrt2 * c os x, "then : cos x - sin x = ...... A) sqrt2* cos x B) sqrt2* sin x C) sqrt2* (cos x +sinx) D)none of these

int_(0)^(7)(sqrt(7-x))/(sqrt(x)+sqrt(7-x))dx = (a) 1 (b) (7)/(2) (c) 5 (d) 7

int(1)/(sqrt(sin^(3)x cos x))dx is equal to :(A)-(2)/(sqrt(cos x))+c(B)(2)/(sqrt(tan x))+c(C)(2)/(sqrt(cot x))+c(D)(2)/(sqrt(tan x))+c

" (c) int(dx)/(sqrt(4x^(2)-3x+5)

RESONANCE DPP-JEE MAINS-All Questions
  1. A normal is drawn at point P(a ,a^n) on the curve =x^n in the first qu...

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  2. Sum of all the numbers between 1 and 1000 which are divisible by 3 i...

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  3. int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c...

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  4. Given an A.P. whose terms are all positive integers. The sum of its fi...

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  5. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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  6. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

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  7. Let the sequence a1,a2,a3, ,an from an A.P. Then the value of a1 2-a2 ...

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  8. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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  9. The sum of the first three terms of an A.P. is 9 and the sum of their ...

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  10. int("sin"2"x")/(s in5x s in3x)dx 1/3ln|sin3x|+1/5ln|sin5x|+c b. 1/3l...

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  11. A postman delivered daily for 42 days 4 more latters each day than on ...

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  12. If int0^1tan^(-1)xdx=alpha,t h e nint0^(pi/4)tan^(-1)((2cos^2theta)/(...

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  13. If in a triangle A B C , right angle at B ,s-a=3a n ds-c=2, then a=2,c...

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  14. The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,cosx...

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  15. In a triangle A B C , right angled at B , the inradius is (A B+B C-A C...

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  16. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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  17. If in a A B C ,(cos A)/a=(cos B)/b=(cos C)/c , then the triangle is: ...

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  18. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

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  19. Evaluate the following inte^x(1-cot x+cot^2x)dx

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  20. If for all real numbers y ,[y] is the greatest integer less than or e...

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