int0^(pi) sin3x dx=2/3...

`int_0^(pi) sin3x dx=2/3`

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MODERN PUBLICATION-INTEGRALS-MISCELLANEOUS EXERCISE ON CHAPTER 7

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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int0^(pi) sin3x dx=2/3
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int0^(pi/4) 2 tan^3 x dx=1-log 2
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int0^1 sin^-1x dx=pi/2-1
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Evaluate int0 1e^(2-3x)dxas a limit of a sum.
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Choose the correct answersint(dx)/(e^x+e^(-x))is equal to(A) tan^(-1)(...
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If f(a+b-x)=f(x), then inta^b x f(x)dx is equal to (A) (a-b)/2inta^b f...
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The value of int0^1tan^(-1)((2x-1)/(1+x-x^2))dx ,\ is 1 b. -1 c. 0 d....
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