Again considering your first example for 1 leq x 2 the floor function maps everything to 1 so you end up with a rectangle of width 1 and height 1.
Floor ln1 3 1 x.
It is the areas of these rectangles you need to add to find the value of the integral being careful to understand that rectangles below the x axis have negative areas.
Math copysign x y return x with the sign of y.
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Integral battle between integral of floor x 2 vs.
Area between ln x and ln x 2 dear jeff duration.
And take the natural logarithm of both sides.
Integral of floor x 2.
Number theoretic and representation functions math ceil x return the ceiling of x the smallest integer greater than or equal to x.
Integrate x 2 sin y dx dy x 0 to 1 y 0 to pi.
On a platform that supports signed zeros copysign 1 0 0 0.
Integrate 1 cos x 2 from 0 to 2pi.
Log 10 3 7 log 10 3 log 10 7.
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Log b x y log b x log b y.
If x is not a float delegates to x ceil which should return an integral value.
The logarithm of the multiplication of x and y is the sum of logarithm of x and logarithm of y.
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Integrate x x 1 integrate x sin x 2 integrate x sqrt 1 sqrt x integrate x x 1 3 from 0 to infinity.