Top answers

Using integration by parts, and given f(x) = 3xcos(x), find integrate(f(x) dx) between (pi/2) and 0.

We begin by quoting the integration by parts formula, as the question speciaficaly asks us to use it. integrate(u(x) v'(x) dx)|^(b) (a) = [u(x) v(x)]^(b) (a) - integrate(u'(x) v(x) dx)|^(b)_(a) To use this f...
AC
Answered by Aaron C. • Maths tutor
4124 Views

integrate by parts ln(x)/x^3

The question states to use integration by parts. So first we recall the integration by parts formula is integrate(u(x)v'(x) dx)= (v(x)u(x)) - integrate(u'(x)v(x) dx)+c (note these integrals are with respect ...
PS
Answered by Prit S. • Maths tutor
4159 Views

2x + 3y = 8 and 3x + 2y = 7 find x and y

These are simultaneous equations. To solve them, we need to do something to these equations to that either the coefficents of x or y are the same. So multiply each equation by a suitable number, a good choic...
TK
Answered by Tara K. • Maths tutor
17540 Views

2x^2 - 16x + 32

Solution: x=4. This can be shown by factorisation or applying the quadratic formula.
NO
Answered by Nick O. • Maths tutor
4369 Views

How does Pythagoras Theorem work?

Pythagoras theorem works to find out an unknown side length of a right angles triangle (RAT) knowing the other two lengths. A RAT has 3 sides called a hypotenuse (longest side), and two smaller sides. We cal...
CB
Answered by Caitlin B. • Maths tutor
5660 Views