How would you integrate ln x

You would use the product rule. uv'=uv- u'vdx. In this case we would allocate u= ln x and v'=1 so u'=1/x and v=x so uv=xlnx whilst u'v=x/x=1 so we would have xln(x) -1dx. Next we would get xln(x)-x +c

CM

Related Maths A Level answers

All answers ▸

What does it mean to differentiate a function?


There are two lines in the x-y plane. The points A(-2,5) and B(3,2) lie on line one (L1), C(-1,-2) and D(4,1) lie on line two (L2). Find whether the two lines intersect and the coordinates of the intersection if they do.


How do you solve a quadratic inequality eg find the values of x for which x^2 -6x +2 < -3


Differentiating (x^2)(sinx) Using the Product Rule