How do you integrate the natural logarithm ln(x)?
To integrate this function, we must first recognise that ln(x) can be treated as 1 multiplied by ln(x). Using this knowledge, we can apply the 'integration by parts method' to integrate the function.Formula: I(u.v') = (u.v) - I(u'.v)Using this formula, treating 1 as v' and ln(x) as u in the function to be integrated, we obtain the indefinite integral result of x.ln(x) - x.
AA
Related Maths A Level answers
All answers ▸A particle of mass 0.25 kg is moving with velocity (3i + 7j) m s–1, when it receives the impulse (5i – 3j) N s. Find the speed of the particle immediately after the impulse.
Find the derivative of f(x)= ln(|sin(x)|). Given that f(x) has a value for all x, state why the modulus is required.
Differentiate y = (sin(x))^2 (find dy/dx)
Using logarithms solve 8^(2x+1) = 24 (to 3dp)