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Evaluate : int0^pie^(2x)dotsin(pi/4+x)...

Evaluate : `int_0^pie^(2x)dotsin(pi/4+x)dx`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Prove that : tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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  2. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

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  3. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

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  4. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

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  5. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) wrt sin ^(-1)((2x)/(1+x^2))d...

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  6. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

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  7. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

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  8. Find the values of a and b , if the function f defined by f(x)={x^...

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  9. A coaching institute of English (subject) conducts classes in two batc...

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  10. If 213(-1 0-1-1 1 0 0 1 1)(1 0-1)=A , then write the order of matrix A...

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  11. If A=(3 5 7 9) is written as A = P + Q, where P is a symmetric matrix ...

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  12. If |[x,si ntheta,costheta],[-si ntheta,-x,1],[costheta,1 ,x]|=8, writ...

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  13. If | vec ax vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then writ...

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  14. If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ ve...

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  15. Write the equation of a plane which is at a distance of 5sqrt(3) units...

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  16. Using integration find the area of the region bounded by the curves y=...

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  17. If f,g:R->R be two functions defined as f(x)=|x|+x and g(x)=|x|-x. Fi...

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  18. In order to supplement daily diet, a person wishes to take X and Y ...

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  19. Bag A contains 3 red and 5 black balls, while bag B contains 4 red and...

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  20. Find the equation of the plane which contains the line of intersection...

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