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Solving 2tan(x) - 3sin(x) = 0 for -pi ≤ x < pi

The first step to answering this question is to get the equation in a simpler form. Aim to have it solely in terms of sin(x) and cos(x) with no fractional parts. ...

Answered by Benjamin A. • Maths tutor

20153 Views

Take the polynomial p(x)=x^4+x^3+2x^2+4x-8, use the factor theorem to write p(x) as two linear factors and an irreducible quadratic. An irreducible quadratic is a quadratic that can not be factorised.

We must use the factor theorem since that is what the question asks. So we take p(x) and think about the factors of 8 we then evaluate it at x=1 to start, then move onto x=-1,2,-2 and so on. We see that i...

Answered by Jordan C. • Maths tutor

3634 Views

How would the integral ∫x^2sin2xdx be solved using integration by parts?

The general formula for integration by parts is given as
∫u(dv/dx)dx = uv - ∫v(du/dx)dx
given that the equation to be solved is ∫x²sin2xdx, the values for u, v, du/dx and dv/dx can ...

Answered by Samuel N. • Maths tutor

10104 Views