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We integrate by parts: u=x u'=1; v'=sin(x) v=-cos(x) integral(xsin(x)dx) = -xcos(x) + integral(cos(x)dx) = -x*cos(x) + sin(x) + C where C is a constant.
The general method for (a+b)^n is: 1)write out pascals triangle (see whiteboard) and stop at the nth row. Write this on a line. 2)write down the powers of a in ascending order (and simplify) 3)write down ...
A-Level Mathematics is about a wide range of topics, among which Integrating is key!
While differentiation is a technique, whereby a set of rules can be used to approach problems, integration is an...
(x-1/2)2 = (x-1/2)(x-1/2)=x2-x+1/4, add 7/4 to get x2-x+2 therefore x2-x+2 = (x-1/2)2 + 7/4
squared numbers always positive so (x-1/2)2PMAnswered by Pearse M. • Maths tutor11018 Views
I would break this down into simple steps:
Step 1 - Equate the 2 expressions: (3 + 13x - 6x2) / (2x - 3) = Ax + B + C / (2x - 3)
Step 2 - Multiply both sides by the demoninator: 3...
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