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AAKASH SERIES-DEFINITE INTEGRALS-SOLVED EXAMPLES
- Show that int(0)^(pi) (x)/(a^(2)-cos^(2)x) dx = (pi^(2))/(2a sqrt(a^(2...
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- Show that int(0)^(pi//2) log (sin x) dx = - pi/2 log 2
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- Evaluate int(0)^(oo) log ( x + 1/x) . (1)/(1+x^(2))dx
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- Evaluate int(0)^(pi/2) x sin x dx.
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- Evaluate int(0)^(pi//2) sin^(4) x. cos^(2) x dx.
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- Evaluate int(0)^(pi) sin^(7) x. cos^(5) x dx
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- Evaluate int(0)^(pi//2) cos^(5) x dx.
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- Evaluate int(a)^(b) x dx
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- Evaluate int(0)^((pi)/(2)) sin x dx as the limit of a sum.
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- Evaluate int(0)^(2)e^(x)dx as the limit of a sum.
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- Evaluate int(0)^((pi)/(2)) sin^(2)x dx
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- Evaluate int(0)^((pi)/(2)) sin^(2)x dx
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- Evaluate int(0)^(1)(1-x)/(1+x)dx
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- Evaluate (i) int(0)^(pi/3) (cos x)/(3+ 4 sin x)dx
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- Evaluate int(0)^(pi)(1)/(3 + 2 cos x)dx
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- int(0)^(1)(dx)/(e^(x)+e^(-x))=
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- Evaluate int(1)^(2) log x dx
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- Evaluate (i) int(a)^(b) (1)/(sqrt((x-a)(b-x)))dx
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- Evaluate (ii) int(a)^(b) sqrt((x-a)/(b-x))dx (a lt x lt b)
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- Evaluate int(0)^(pi//2) (1)/(sin x + cos x) dx
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