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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.
compare: 643,251: 633,512: 633,893. The answer is 633,512.
Consider the given graph G below. Find δ( G )=_____ , λ( G )= _____ , κ( G )= _____, number of edge-disjoint AF -paths=_____ , and number of vertex-disjoint AF -paths= ______
Reduction formulae Script for Introduction: First let us know what is meant by reduction formula. In simple words, A formula which expressess(or re
Determining the Laplace transform of a function is not terribly hard if we've found a table of transforms opposite us to use as we saw in the previous section. What we would want t
please help me in my assignment, explain Applications of Markov Chains in Business.
Dawn wants to evaluate the volume of a basketball along with the volume of a tennis ball. Which formula will she use? The volume of a sphere is 4/3 times π times the radius cub
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Polar to Cartesian Conversion Formulas x = r cos Θ y = r sin Θ Converting from Cartesian is more or less easy. Let's first notice the subsequent. x 2 + y 2 = (r co
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