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Evaluate: int(-5)^5x^2[x+1/2]dx(w h e r ...

Evaluate: `int_(-5)^5x^2[x+1/2]dx(w h e r e[dot]` denotes the greatest integer function).

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Evaluate: int0^(pi/2)sinxcosxdx

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

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

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

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

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

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

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

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

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

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

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

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

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  14. 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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  15. if [x] denotes the greatest integer less than or equal to x then integ...

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  16. The value of int0^(2pi)[2sinx]dx ,w h e r e[dot] represents the great...

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  17. f(x)=int1^x(tan^(-1)(t))/t dt \ AAx in R^+, then find the value of f...

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  18. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)])dx , ...

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  19. Find the points of minima for f(x)=int0^x t(t-1)(t-2)dt

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  20. Iff(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4), then find the value of ...

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