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If P(x) is a polynomial of the least deg...

If `P(x)` is a polynomial of the least degree that has a maximum equal to 6 at `x=1`, and a minimum equal to 2 at `x=3`, then `int_(0)^(1)P(x)dx` equals

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CENGAGE PUBLICATION-INTEGRALS-All Questions
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  2. Evaluate int0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

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

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  4. Evaluate: int0^pixlogsinxdx

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  5. The value of the definite integral int0^(sqrt(1n(pi/2)))cose^(x^(2)...

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  6. Evaluate: int0^(π/2)cos2x+4sin2x cos2xdx

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  7. The value of int1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dx is...

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  8. If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and pos...

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

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  10. L e tA=int0^oo(logx)/(1+x^3)dx Then find the value of int0^oo(xlogx)/(...

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  11. Show that : int0^1(logx)/((1+x))dx=-int0^1(log(1+x))/x dx

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

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  13. answer any one question : (ii) evaluate : int0^pi (x sin x)/(1+cos ^2x...

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

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  15. If I1=int0^pixf(sin^3x+cos^2x)dxa n d I2=int0^(pi/2)f(sin^3x+cos^2x)d...

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  16. int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx)) dx

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  17. Find the value of int0^1 2x^3-3x^2-x+1 3dxdot

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  18. If int0^oox^(2n+1)dote^(-x^2)dx=360 , then the value of n is

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  19. Evaluate: int0^oo(dx)/(1+x^2)

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  20. If I1=int0^(pi/2)costhetaf(sintheta+cos^2theta)d(theta) and I2=int0^(...

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