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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- int0^(pi/4) sin 3x. Sin 2x dx =
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- int0^(2pi) cosmx. Sin nx dx (Where m and n are integers)
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- int0^(pi) cos mx. cos nx dx = (m=n)
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- int0^(2pi) sinmx. Sinnx dx = (m n...
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- Let f(x) = {:[(e^(cos x) sinx",", "for" |x| le 2),(2,"otherwise"):} th...
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- int0^(4) (dx)/(sqrt((x-2)(4-x)) )=
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- The value of int(-pi)^(pi) (cos^2 x)/(1 + a^x) dx, a > 0, is :
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- int(-pi)^(pi) sin 5x. Sin 2x dx =
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- int(-2)^(2) [cot^(-1) ((x-1)/(x+1)) + cot^(-1) ((x+1)/(x-1))] dx =
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- int(0)^(oo)(xdx)/((1+x)(1+x^(2)))=
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- int(-pi/2)^(pi/2) sin x. cosh x dx =
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- int(-pi/2)^(pi/2) cos x. sinh x dx =
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- int0^(pi/2) log ((a+b sin x)/(a+b cos x)) dx =
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- int3^(4) sqrt((x-3)(4-x)) dx =
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- int(-a)^(a) x^(n) (a+x) dx, when n is odd =
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- int(-pi/2)^(pi/2) sin^(m) x. cos^(n) x dx = 0, if
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- int0^(2pi) sin^(m) x. cos^(n) x dx = 4 int0^(pi/2) sin^(m) x. cos^(n) ...
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- The value of alpha which satisfies int(pi/2)^(alpha) sin alpha dx = si...
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- int(-pi)^(pi) (sin^(4)x dx) /(sin^(4)x + cos^(x) x) =
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- int0^(pi) e^(cos^(2)).cos^(3) 5x dx =
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