What is an integrator?

Answer 1

I'm pretty sure you made some typing mistakes or something when you asked this question, it doesn't look like a usual question. I will solve it anyways though.

Integral of ax^n = (a/n+1)x^(n+1).

In "y", a=1 and n=1.

Putting those values into that magic integrals formula, you get:

(1/2)y^2 + Constant.

So there you go, the integral of "y" is;

0.5y2 + C.

Answer 2

An integrated circuit - or IC - chip is a circuit made with components such as transistors, diodes and resistors that are usually formed simultaneously on a small chip of silicon.

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Two or more transistors (and they're up to many millions now) AND some (or all) of their interconnections on a single (tiny) slab of silicon.

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The components are connected with aluminum wires deposited both on the surface and within the body of the chip. ICs can contain as few as several to as many as hundreds of thousands of transistors.

Integrated circuits are electronic parts that have a complete electronic circuit inside formed by transistors, resistors and capacitors, that has the purpose of simplifying some branchs of the circuit in a electronic device.

Answer 3

The integral of a function between a and b can be thought of as the area of the region bounded by the graph of the function and the x-axis between x=a and x=b. When f(x) is negative, the integral is negative.

The integral can be defined many ways, the most straightforward of which is summarized as follows:

Partition the interval [a,b] into n subintervals. On each interval, find the the least upper bound of the of the function. Then add up the areas of the rectangles obtained by multiplying the the width of each interval by the supremum on that interval. This is called the Upper Sum. The Lower Sum is found similiarly, except the supremum is replaced by the infimum. If the least upper bound of the set of lower all lower sums is equal to the greatest lower bound of the set of all upper sums, then the function is integrable on the interval, and the common number is called the integral.