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Evaluate the following integrals : Eva...

Evaluate the following integrals :
Evaluate `int_(0)^(pi//2)(xsinxcosx)/(sin^(4)x+cos^(4)x)`

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The correct Answer is:
`(pi)/(2)`
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ARIHANT PRAKASHAN-VERY SIMILAR TEST 9-Section B
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  2. Evaluate int(x^(2))/(x^(4)-x^(2)+12)dx.

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  7. Prove that |veca xx vecb|^(2) = abs(veca)^(2)abs(vecb)^(2) - (veca * v...

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  8. Find the vector equation of a plane which is at a distance of 6 units ...

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  9. If sin{cot^(-1)(x + 1)} = cos(tan^(-1)x), then find x.

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  10. One kind of cake requires 200 g of flour and 25 g of fat and another k...

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  11. Consider f:R(+) to [-5, oo) given by f(x)=9x^(2)+6x-5. Show that f i...

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  12. Let R be a relation on the set A of ordered pairs of positive integers...

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  13. Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...

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  14. Two persons A and B throw a die alternately till one of them gets a th...

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  15. A = [(1, 0), (0, 1)], B = [(1, 0), (0, -1)] and C = [(0, 1), (1, 0)], ...

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  16. Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...

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  17. An urn contains 4 white and 6 red balls. Four balls are drawn at rando...

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  18. Using differentials, find approximate value (3.968)^(3//2)

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  19. Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing f...

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