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MODERN PUBLICATION-INTEGRALS-MISCELLANEOUS EXERCISE ON CHAPTER 7
- Integrate the functionsfprime(a x+b)[f(a x+b)]^n
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- 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...
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- int sqrt((1-sqrtx)/(1+sqrtx))dx
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- (2+sin 2x)/(1+cos 2x) e^(x)
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- Evaluate: int(x^2+x-1)/((x+1)^2(x+2))\ dx
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- Integrate the functionstan^(-1)sqrt((1-x)/(1+x))
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- Integrate the functions(sqrt(x^2+1)[log(x^2+1)-2logx])/(x^4)
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- Evaluate the following : int(pi//2)^(pi)e^(x)((1-sinx)/(1-cosx))dx.
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- Evaluate: int0^(pi//4)(sin\ 2x)/(cos^4x+sin^4x)dx
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- Evaluate: int0^(pi//2)(cos^2x)/(cos^2x+4sin^2x)dx
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- int(pi/6)^(pi/3) (sin x+ cos x)/(sqrt(sin 2x))dx
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- int0^1 (dx)/(sqrt(1+x)-sqrtx)
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- int(0)^(pi/4)(sin x+cos x)/(9+16 sin 2x)dx
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- Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx
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- Evaluate: int0^pi(xtanx)/(s e c x+tanx)dx
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- Evaluate int1^4 f(x)dx, where f(x)=|x-1|+|x-2|+|x-3|
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- int(1)^(3) (dx)/(x^(2)(x+1))=(2)/(3)+log .(2)/(3)
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- Evaluate: int0^1x\ e^x dx
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- int(-1)^(1)x^(17)cos^(4) x dx is equal to
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