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Evaluate: int(-pi)^(3pi)log(s e c theta-...

Evaluate: `int_(-pi)^(3pi)log(s e c theta-t a ntheta)d theta`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Evaluate: int0^(pi/2)log((4+3sinx)/(4+3cosx))dx

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  2. The value of int0^1 4x^3 {d^2/(dx^2) (1 - x^2)^5 } dx is

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  3. Evaluate: int(-pi)^(3pi)log(s e c theta-t a ntheta)d theta

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  4. The value of the integral overset(1)underset(0)int e^(x^(2))dx lies in...

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  5. Let P(x) be a polynomial of least degree whose graph has three points ...

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  6. If In=int0^1(dx)/((1+x^2)^n); n in N , then prove that 2nI(n+1)=2^(-n...

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  7. If f(0)=1,f(2)=3,f^'(2)=5,then find the value of int0^1xf^('')(2x)d...

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  8. Ifinta^b(f(x))/(f(x)+f(a+b-x))dx=10 ,t h e n (a) b=22 ,a=2 (b) b=15 ...

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  9. Evaluate: int0^pi(dx)/(1+sinx)

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  10. if In=int0^(pi/4)tan^ntheta.d theta,then n in N,n(I(n-1)+I(n+1)) equal...

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  11. Consider the integral int0^(2pi)(dx)/(5-2cosx) making the substitutio...

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  12. If f(x)=int0^x |t-1| dt, where 0 lt= x lt= 2 then (a) range of f(x) ...

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  13. If int0^1(e^(-x)dx)/(1+e^x)=(log)e(1+e)+k , then find the value of k.

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  14. The value of int0^oo (dx)/(1+x^4) is

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  15. Let f be a continuous function on [a ,b]dot Prove that there exists a ...

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  16. If f(x) is continuous for all real values of x , then sum(r=1)^nin...

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  17. F ind the value of int0^1logx dxdot

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  18. If An=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,Bn=int0^(pi/2)((sinn x)/(sinx)...

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  19. A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint0^...

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  20. The value of int0^1(2x^2+3x+3)/((x+1)(x^2+2x+2))dx is

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