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When we think of integration, we should be thinking of the same method every time; adding one to the power, and then dividing by that new power.The integral of the sum of each of these terms is equal to t...
(sinx)^2 (similarly to (cosx)^2) cannot be integrated in this form. There is a standard method to get past this though, which makes use of the cos double angle formula:cos(2x) = (cosx)^2 - (sinx)^2 ...
ax2+bx+c=0 : basic quadratic equation
a(x2 + bx/a) + c=0
a((x+b/2a)2 - JDAnswered by Jaiveer D. • Maths tutor5595 Views
The first part is relatively simple. If we write tan(3x) as tan(2x+x) we can use addition formulae to give:
tan(2x+x)= (tan(2x)+tan(x))/(1-tan(2x)tan(x))
tan(2x) = 2tan(x)/...
This is a basic example of a very important result: the chain rule. The difficulty of this sort of example is that we have a "function of a function". That is, we have the function '4-x' and ...
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