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Integration
We have, so far, seen that differential calculus measures the rate of change of functions. Differentiation is the process of finding the derivative (rate of change) of a function F(x) and is denoted by F'(x) Often, we may know the rate of change, F'(x) of a function F(x) which is unknown to us. In such situations we would like to find out the original function F(x) from the derivative, F'(x). Reversing the process of differentiation and finding out the original function from the derivative is called integration. The original function, F(x) is called the integral.
The left hand side of the equation is read as "the indefinite integral of f(x) with respect to x. The symbol is the integral sign, f(x) is the integrand and 'c' is an arbitrary constant. The arbitrary constant 'c' is added because of the following reason:
If d/dx {F(x)} = f(x) then we can also write that d/dx {F(x) + c} = f(x) where 'c' is an arbitrary constant, because the derivative of any constant is zero.
50387 divided by 21
circumference of a circle
We know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work. Also one cannot refute the fact
1. Show that there do not exist integers x and y for which 110x + 315y = 12. 2. If a and b are odd integers, prove that a 2 +b 2 is divisible by 2 but is NOT divisible by 4. H
Ask queThe low temperature in Anchorage, Alaska today was -4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures?stion #M
the size of my sitting room is 7metres by 6metres . i bought a rug for covering the centre of its floor. one metre of the floor around the edge of the room is not to be covered by
My nephew had been introduced to division by his teacher Ms. Santosh, in Class 3. He, and several of his friends who had been taught by her, appeared to be quite comfortable with t
The area of a square is given by the formula width time's height. But since the square has all the sides equal, the height is of the same measure as its width. Hence its formula is
Evaluate the volume and surface area of a rectangular solid: Calculate the volume & surface area of a rectangular solid along with a = 3", b = 4", & c = 5". Solution:
what is 6/36 as two equivalent fractions 2/12 as two equivalent fractions 4/28 3/21 2/11 4/13=8/x 12/30=n/90 q/54=2/9 3/7 14/h=7/20
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