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For theta in (0,pi/2), prove that int0^t...

For `theta in (0,pi/2)`, prove that `int_0^theta"log"(1+tanthetatanx)dx=thetalog(sectheta)`

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CENGAGE ENGLISH-INTEGRALS-All Questions
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  2. The value of the definite integral int0^(pi/2)sqrt(tanx)dx is sqrt(...

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  3. For theta in (0,pi/2), prove that int0^theta"log"(1+tanthetatanx)dx=th...

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  6. If P(x) is a polynomial of the least degree that has a maximum equal t...

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  10. T h ev a l u eofint1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dxi...

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  12. If f(x) is monotonic differentiable function on [a , b] , then int...

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  13. Find the value of : int0^(10)e^(2x-[2x])d(x-[x])w h e r e[dot] denote...

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  16. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0)=0,x in R , w...

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  18. The value of lim(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi...

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  19. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  20. Match the statements/expression given in Column I with the values give...

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