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4 cos² (x) + 7sin (x) – 7 = 0      (1)

Using the identity sin² (x) + cos² (x) = 1,

rearrange to give; cos² (x) =...

To find the factors of x³-7x-6, a method called equating coefficients can be used.

Firstly, set the equation to zero and find a suitable number which satisfies the equation, in...

y=a^x

take natural logs (also written as ln or log base e) of both sides

lny=lna^x

by logarithms rules lna^x=xlna

lny=xlna

Now diff...

There are a number of integrals that we can evaluate directly, called elementary functions:integral[x dx] = x²/2 + Cintegral[cos(x) dx] = sin(x) + C...