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Prove that int(dx)/(2+sinx)=2/sqrt(3)tan...

Prove that `int(dx)/(2+sinx)=2/sqrt(3)tan^-1((2tanx//2+1)/sqrt3)+c.`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  2. Prove that intxlog(1+1/x)dx =x^2/2log((x+1)/x)-x^2/2 logx-1/2log(x+1)+...

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  3. Prove that int(dx)/(2+sinx)=2/sqrt(3)tan^-1((2tanx//2+1)/sqrt3)+c.

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  4. Solve dy/dx-y/x=xy^2.

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  9. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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  10. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

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  11. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

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  12. Let A={1,2,3}, which of the following functions on A is invertible?

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  13. Let A={1,2,3}, which of the following functions on A is invertible?

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  14. Let A={1,2,3}, which of the following functions on A is invertible?

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  15. Let A={1,2,3}, which of the following functions on A is invertible?

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  20. Evaluate inte^(x)(sinx+cosx)dx.

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