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

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`int((3sintheta-2)/(5-cos^2theta-4sintheta)*costheta d theta`
Let `t=sintheta`
`int((3t-2)/(5-(1-t^2)-4t)dt`
`int(3t-2)/(t^2+2^2-2t2)dt`
`int(3t-2)/(t-2)^2dt`
`int3/(t-2)^2dt+int4/(t-2)dt`
`x=t-2,dx=dt`
`int3/x^2dx+int4/xdx`
...
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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  2. Prove that: tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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

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

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

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  6. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to sin^(-1)...

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

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  8. 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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  9. Find the values of a and b , if the function f defined by f(x)={x^2...

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

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

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

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  14. If | vec a X vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then wri...

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

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

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

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

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

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

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