Integrate x*ln(x) with respect to x
First identify that integration by parts is required. Then seperate the integration so u = ln(x) dv/dx = x then, du/dx = 1/x v = (1/2)x^2 . And using the integration by parts formula with these substitutions: ∫x*ln(x) dx = ((1/2)x^2)*ln(x)- ∫(1/2)x dx = ((1/2)x^2)*ln(x)- (1/4)x^2 +c
AS
Related Maths A Level answers
All answers ▸Find the value of 2∫1 (6x+1) / (6x2-7x+2) dx, expressing your answer in the form mln(2) + nln(3), where m and n are integers.
Integration by parts: Integrate the expression x.ln(x) between 1 and 2.
A man travels 360m along a straight road. He walks for the first 120m at 1.5ms-1, runs the next 180m at 4.5ms-1, and then walks the final 60m at 1.5ms-1. A women travels the same route, in the same time. At what time does the man overtake the women?
Solve the following equation, give the answer/answers as coordinates. y=3x^2 , y=2x+5.