Integrate tan(x) wrt x

Use substitutionlet u = cos(x)du = - sin(x)dxint(tan(x)) dx = int(sinx/cosx) dx = - int(1/u) du = - ln(u) + c= ln(secx) + c

MH

Related Further Mathematics A Level answers

All answers ▸

Prove by mathematical induction that 11^n-6 is divisible by 5 for all natural numbers n


In simple harmonic motion, where would the object have the largest speed. If the angular velocity is 2 rad s^-1, and the amplitude is 1m, what is the largest speed obtained by the object?


I don't know what I am doing when I solve differential equations using the integrating factor and why does this give us the solutions it does?


A complex number z has argument θ and modulus 1. Show that (z^n)-(z^-n)=2iSin(nθ).