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int("sin"2"x")/(s in5x s in3x)dx 1/3ln|...

`int("sin"2"x")/(s in5x s in3x)dx` `1/3ln|sin3x|+1/5ln|sin5x|+c` b. `1/3ln|sin3x|+1/5ln|cos5x|+c` c. `1/3ln|sin3x|-1/5ln|cos5x|+c` d. `1/3ln|sin3x|-5ln|sin5x|+c`

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RESONANCE DPP-JEE MAINS-All Questions
  1. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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

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

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

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

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

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

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

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

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

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

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  14. int(1)/(sqrt(2x^(2)+3x-2))dx

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  15. If the value of the integral int1^2e^(x^2)dx is alpha, then the value ...

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  16. The solution of the differential equation (dy)/(dx) = (x(2 log x...

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  17. If int(2x+3)/(x^2-5x+6)dx=9ln|x-3|-7ln|x-2|+A ,t h e nA is 5ln(x-2)+...

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  18. Normals are drawn from a point P with slopes m1,m2 and m3 are drawn fr...

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

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  20. If f(x)=A s in((pix)/2)+B ,f^(prime)sqrt(2)a n dint0^1f(x)dx=(2A)/pi, ...

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