integral of (tan(x))dx using the substitution u = cos(x)
given u = cos(x), therefore du/dx=-sin(x), as tan(x)=sin(x)/cos(x), can rewrite tan(x)=(-du/dx)/u, therefore integral can become [(-1/u)du], after inegrating you are left with -ln(u)+c, therefore ln(1/u)+c, subbing back in leaves us with ln((1/cos(x)))+c
FR
Related Maths A Level answers
All answers ▸What is differentiation in mathematics and what does it represent?
((x^2+4x)/2x)-((x^2-4x)/x)
How do I find the minimum or maximum of a quadratic function?
Express √75 in the form of n√3 , where n is an integer. Using this information, solve the following equation: x√48 = √75 + 3√3 (4 marks)