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NAGEEN PRAKASHAN-INTEGRATION-Miscellaneous Exercise
- Integrate the functions1/(sqrt(sin^3xsin(x+alpha)))
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- Integrate the functions(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt...
05:29
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- int sqrt((1-sqrt(x))/(1+sqrt(x)))dx=
07:45
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- (2+sin 2x)/(1+cos 2x) e^(x)
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- (x^(2)+x+1)/((x+1)^(2)(x+2))
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- Evaluate: inttan^(-1)sqrt((1-x)/(1+x))dx
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- Integrate the functions(sqrt(x^2+1)[log(x^2+1)-2logx])/(x^4)
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- int(pi/2)^(pi) e^(x) ((1-sinx)/(1-cosx)) dx
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- int0^(pi/2) (xsinxcosx)/(cos^4x+sin^4x) dx=
06:13
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- int(0)^(pi/2) (cos^(2)x dx)/(cos^(2)x+4 sin^(2)x)
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- int(pi/6)^(pi/3) (sin x+ cos x)/(sqrt(sin 2x))dx
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- int(0)^(1)(1)/(sqrt(1+x)-sqrt(x))dx
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- int(0)^(pi/4)(sin x+cos x)/(9+16 sin 2x)dx
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- int(0)^(pi/2) sin 2x tan^(-1) (sin x) dx
06:54
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- Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx
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- Evaluate the definite integrals int1 4[x-1|+|x-2|+|x-3|]dx
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- int(1)^(3) (dx)/(x^(2)(x+1))=(2)/(3)+log .(2)/(3)
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- int(0)^(1) x e^(x) dx=1
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- int- 1^1x^(17)cos^4x dx=0
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- int(0)^(pi/4) sin^(3) x dx=(2)/(3)
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