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Find the value of overset(pi/2)underset(...

Find the value of `overset(pi/2)underset(0)int(x sinx cos x)/(a^2cos^2 x+b^2 sin^2 x)dx`.

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UNITED BOOK HOUSE-QUESTION PAPER 2015-EXERCISE
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  2. Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.

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  3. Show that |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3.

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  4. Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0

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