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Evaluate: int0^x[cost]dt where x in (2np...

Evaluate: `int_0^x[cost]dt where x in (2npi,(4n+1pi/2),n in N ,a n d[dot]` denotes the greatest integer function.

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  2. If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)

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  3. Evaluate: int0^x[cost]dt where x in (2npi,(4n+1pi/2),n in N ,a n d[do...

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  4. Suppose f is a real-valued differentiable function defined on [1,oo] ...

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  5. Let f be a real valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) ...

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  9. Find the equation of tangent to the y = F(x) at x = 1, where F(x) = u...

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  10. If int0^x[x]dx=int0^([x])xdx , then prove that either x is purely fr...

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  11. Show that: int0^(pi//2)f(sin2x)sinxdx=sqrt(2)int0^(pi//4)f(cos2x)co...

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  12. If I1=int0^1 2^(x^2)dx , I2=int0^1 2^(x^3) dx , I3= int1^2 2^(x^2) dx ...

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  16. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dx is

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  17. The value of int(-2)^2|1-x^2|dx is

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

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

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

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