Prove that: int0^(pi/4)(sqrt(tanx)+sqrt(...

Prove that: `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))\ dx=sqrt(2)pi/2`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions

A merchant plans to sell two types of personal computers - a deskto...
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Given three identical boxes I, II and III each containing two coins...
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Prove that: int0^(pi/4)(sqrt(tanx)+sqrt(cotx))\ dx=sqrt(2)pi/2
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Find the shortest distance between the following pairs of line whose ...
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Using vectors, find the area of the triangle with vertices A (1, 1,...
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Find the intervals in which the function f given by f(x)=\ x^3+1/(...
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Prove that sin^(-1)(63/65)=sin^(-1)(5/13)+cos^(-1)(3/5)
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Evaluate: int0^(2pi)1/(1+e^(s in x))dx
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Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2
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Prove the following: cot^(-1)[(sqrt(1+sinx )+sqrt(1-sinx))/(sqrt(1+sin...
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Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))
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