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The value of the integral underset(-1)...

The value of the integral
`underset(-1)overset(3 )int ("tan"^(1)(x)/(x^(2)+1)+"tan"^(-1)(x^(2)+1)/(x))dx` is equal to

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. If int0^x {int0^u f(t) dt}du is equal to (a) int0^x (x-u) f(u) (b) ...

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  2. Prove that: In=int0^oox^(2n+1) e^ (-x^2) dx=(n !)/2,n in N.

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  3. The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(...

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  4. It is known that f(x) is an odd function in the interval [-p/2, p/2] ...

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  5. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

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  6. If int0^(pi/2)logsinthetad(theta)=k , then find the value of int0^(pi...

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  7. Evaluate: int0^(pi/2)|sinx-cosx|dx

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  8. Let f(x) is continuous and positive for x in [a , b],g(x) is continu...

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  9. Evaluate: int(-5)^5x^2[x+1/2]dx(w h e r e[dot] denotes the greatest i...

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  10. STATEMENT 1 : The value of int(-4)^(-5)sin(x^2-3)dx+int(-2)^(-1)sin(x^...

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  11. Evaluate: int0^(2pi)[sinx]dx ,where[dot] denotes the greatest inte...

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  12. STATEMENT 1 : The value of int0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STAT...

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  13. Evaluate: int0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest int...

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  14. STATEMENT 1 : On the interval [(5pi)/4,(4pi)/3]dot the least value of ...

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  15. Evaluate: int0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest ...

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  16. Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AAx ...

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  17. Evaluate: int0^((5pi)/(12))[tanx]dx , where [dot] denotes the grea...

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  18. Consider I1=int0^(pi//4)e^(x^2)dx ,I2=int0^(pi//4)e^x dx ,I3=int0^(pi/...

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  19. Evaluate: int0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest inte...

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  20. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

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