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∫x^4+5x^3+sin(2x) dx So a basic rule for x functions is that 1. Add 1 to the power 2. divide by the new power. So lets do this for the 2 x terms 1/5x^5+5/4x^4 Now lets look at the sin(2x). A general r...
Amplitude of a periodic function is the maximum height it reaches above the centre line (or the lowest). This expressed in the equation as '3'. If the 3 was not there, then the sin wave would have an ampl...
Firstly we would differentiate each equation with respect to t to find dx/dt and dy/dt- which gives us dx/dt=t and dy/dt=-4t^-2. Once you have found these you must divide dy/dt by dx/dt (or dy/dt x dt/dx)...
The question asks us to find dy/dx, in terms of x and y. Here though it is not in the form of y=f(x), but a mixed form, which we will not be able to separate out. We will have to use Implicit differentiat...
The integral of x^x can be solved by taking logarithms of the formula and getting xln(x) then using integration by parts it is given than u=ln(x) and dv=x therefore u'=1/x and v=(x^2)/2
using uv-(i...
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