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Definite integration
It involve integration among specified limits, say a and b
The integral is a definite integral whether the limits of integration are as: a and b
The integrals is evaluated as given below
1. Calculate the indefinite integral ?f(x)dx. By supposing it is F(x) + c
2. Attach the limits of integration
3. Substitute b as the upper limit and then substitute a as the lower limit for x.
4. Obtain the difference and the result is the numerical value for the definite integral.
By applying these steps to the definite integral, then
solve and graph the solution set 7x-4 > 5x + 0
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y=x4/4lnx-x4/16 then dy/dx=? Solution) dy/dx=-x^3/4(2/lnx-1)^2. ^ means power
Chain Rule : If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x). Proof We will s
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