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NAGEEN PRAKASHAN-INTEGRATION-Exercise 7o
- int(0)^(2) (e^(-1//x))/(x^(2)) dx
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- int(1)^(2) (x)/(sqrt(1+2x^(2)))dx
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- int(-1)^(2) (x) /((x^(2)+1)^(2))dx
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- int(0)^(1//sqrt(2)) (sin^(-1))/((1-x^(2))^(3//2))dx
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- int(0)^(pi) (1-x^(2))/((1+x^(2))^(2))dx
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- int(0)^(pi) (1)/(5+2 cos x)dx
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- int(0)^(pi) (1-x^(2))/((1+x^(2))^(2))dx
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- int(0)^(pi//2) e^(x) (sin x + cos x) dx
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- int(0)^(pi) x sin^(2) x dx
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- int(1)^(2) (log(e) x)/(x^(2)) dx
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- prove that int0^oo x^2/((x^2+a^2)(x^2+b^2))dx=pi/(2(a+b))
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- int(0)^(1) (1)/(x^(2) +2x+3)dx
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- int(0)^(pi//2) (1)/(4+3 cos x)dx
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- int(0)^(pi//4) e^(x) (tan x+ sec^(2)x) dx
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- int(1)^(2) (1)/(2(1+x^(4)))dx
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- int(0)^(2) sqrt((2+x)/(2-x)) dx
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- int(0)^(pi//2) x sin x cos x dx
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- int(0)^(pi//2) (dx)/(1+2 cos x)
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- int(0)^(1) x sqrt((1-x^(2))/(1+x^(2)))dx
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- int(0)^(pi) x sin x. cos^(2) x dx
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