Intergrate ln(x) with resepct to x
To integrate this, we use the product rule. Think of it as intergrate [ 1 x ln (x)]. As by the product rule we chose one to intergrate and one to differentiate. We intergrate 1 to get x. We differentiate ln (x) to get 1/x. The final answer will then be xln(x) + x + C
LP
Related Maths A Level answers
All answers ▸Determine the first derivative of the following curve defined by parametric equations x = 20-5t and y = t^5.
The line L1 has vector equation, L1 = ( 6, 1 ,-1 ) + λ ( 2, 1, 0). The line L2 passes through the points (2, 3, −1) and (4, −1, 1). i) find vector equation of L2 ii)show L2 and L1 are perpendicular.
f(x) = 2x^3 – 7x^2 + 4x + 4 (a) Use the factor theorem to show that (x – 2) is a factor of f(x). (2) (b) Factorise f(x) completely.
OCR M2 A level maths June 2015 question 8