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CENGAGE PUBLICATION-INTEGRALS-All Questions
- Let f:[-1,2]->[0,oo) be a continuous function such that f(x)=f(1-x)fo...
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- Prove that int0^x e^(x t-t^2) dt=e^(x^(2)/4)int0^x e^-(t^(2)/4)dt
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- If alpha=int0^1(e^(9x+3tan^-1x))((12+9x^2)/(1+x^2))dx where tan^-1x t...
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- Evaluate int(-4)^(-5)e^((x+5)^(2))dx+3int(1//3)^(2//3)e^(9(x-2/3)^(2))...
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- Prove that for any positive integer k ,(sin2k x)/(sinx)=2[cosx+cos3x+...
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- Compute the integrals: int0^oof(x^n+x^(-n))logx(dx)/x
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- If for a real number y ,[y] is the greatest integral function less, th...
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- Compute the integrals: int0^oof(x^n+x^(-n))logx(dx)/(1+x^2)
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- If int0^x {int0^u f(t) dt}du is equal to (a) int0^x (x-u) f(u) (b) ...
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- Compute the integrals: int(1/e)^e1/xsin(x-1/x)dx
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- STATEMENT 1: int0^pixsinxcos^2xdx=pi/2int0^pisinxcos^2x dx. STATEMEN...
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- Evaluate: int0^(pi/2)xcosx dx
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- Evaluate: int0^(pi/4)(sinx+cosx)/(9+16sin2x)dx
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- Evaluate: int(-pi//4)^(pi//4)log(sinx+cosx)dx
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- If alpha,beta(beta>alpha), are the roots of g(x)=a x^2+b x+c=0 and f...
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- Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AAx ...
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- Let f: RvecR be a differentiable function having f(2)=6,f^(prime)(2)=1...
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- Ifint(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find th...
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- Prove that inta^bf(x)dx=int(a+c)^(b+c)f(x-c)dx , and when f(x) is odd ...
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- Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot
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