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NAGEEN PRAKASHAN-INTEGRATION-Exercise 7p
- Prove that : int(0)^(pi) sin^(2) x . cos x dx =0
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- Prove that : int(0)^(pi//2) (sin x -cos x) log (sin^(3) x + cos^(3)x) ...
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- Prove that : int(2)^(7) (sqrt(x))/(sqrt(9-x)+sqrt(x))dx=(5)/(2)
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- Prove that : int(0)^(pi) (x sin x)/(1+cos^(2)x) dx =(pi^(2))/(4)
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- Prove that : int(0)^(pi//2)(x)/(sin x +cos x)dx= (pi)/(4sqrt(2)) log |...
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- Prove that int0^(pi/2) \ sin^2 x / (1+sin x cos x) \ dx = pi/(3 sqrt(3...
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- Evaluate : int(0)^(1) (1-x)^(3//2) dx
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- Evaluate : int(0)^(1)log ((1)/(x) -1) dx
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- Evaluate : int0^1x(1-x)^5dx
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- Evaluate : int(0)^(4) x(4-x)^(3//2)dx
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- Prove that :(i) int(-pi)^(pi) x^(10) sin^(7) x dx =0 (ii) int(-pi)^(...
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- int0^pi x tanx / (sec x + cos x) dx = pi^2 / 4
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- Evaluate : int(-pi//2)^(pi//2) |sin x|dx
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- Evaluate :int(0)^(8) |x-5|dx
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- Evaluate :int(-pi//4)^(pi//4) |sin x|dx
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- "If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2), then eva...
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- "if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}}, then eva...
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- Prove that :int(0)^(pi) (x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx =(pi^(...
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- int0^pi e^(cosx)/(e^(cosx)+e^(-cosx)) dx=
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- Prove that :int(0)^(pi//2) (x sin x cos x)/(sin^(4) x+ cos^(4)x)dx =(p...
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