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The integral int0^(1. 5)[x^2]dx ,w h e r...

The integral `int_0^(1. 5)[x^2]dx ,w h e r e[dot]` denotoes the greatest integer function, equals ...........

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The value of int(-2)^2|1-x^2|dx is

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  2. If II=int0^(pi//2)cos(sinx)dx ,I2=int0^(pi/2)sin(cosx)dx \ ,a n d \ I3...

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  3. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

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  4. Evaluate the following limit: lim(nto oo)(sum(r=1)^(n) sqrt(r)sum(r=...

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  5. Evaluate: ("lim")(n rarr oo)[(n !)/(n^n)]^(1//n)

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  6. If the value of the definite integral int0^1 "^(207)C7x^(200)(1-x)^7dx...

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  7. Evaluate: int(-1)^0(dx)/(x^2+2x+2)

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  8. If fa n dg are continuous function on [0,a] satisfying f(x)=f(a-x)a ...

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  9. If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int(-1)^1...

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  10. Evaluate: int0^pie^(|cosx|)(2sin(1/2cosx)+3cos(1/2cosx))sinxdxdot

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  11. Evaluate: inta^b x^3dx

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  12. Find the value of int(-pi/3)^(pi/3)(pi+4x^3)/(2-cos(|x|+pi/3))dx

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  13. Evaluate: ("lim")(n rarr oo)(1/(sqrt(4n^2-1))+1/(sqrt(4n^2-2^2))++1/(s...

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  14. If y(x)=int(pi^2/16)^(x^2)(cosxcossqrt(theta))/(1+sin^2sqrt(theta))d t...

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  15. Evaluate: ("lim")(nvecoo)[1/(n^2)sec^2 1/(n^2)+2//n^2sec^2 4/(n^2)++1/...

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  16. For x >0,l e tf(x)=int1^x(logt)/(1+t)dtdot Find the function f(x)+f(1/...

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  17. Evaluate ("lim")(n rarr oo)sum(k=1)^nk/(n^2+k^2)

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  18. If" f, is a continuous function with int0^x f(t) dt->oo as |x|->ooth...

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  19. Prove that pi/6 lt int0^1(dx) (sqrt(4-x^2-x^3)) lt pi/(4sqrt(2))

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  20. Let f:[-1,2]->[0,oo) be a continuous function such that f(x)=f(1-x)fo...

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