Find $\displaystyle\int 3x + \frac{1}{(x-5)^2} \mathrm{d}x$. Hence find the area of the region bou

Question

Find $\displaystyle\int 3x + \frac{1}{(x-5)^2} \mathrm{d}x$. Hence find the area of the region bounded by the curve, the line $x = 2$ and the line $x = 4$.

Accepted Answer

(a) $\dfrac32x^2-\dfrac1{x-5}+C$; (b) $\dfrac{56}{3}\text{ units}^2$

Solution:

Typed Solution