# Science:Math Exam Resources/Courses/MATH103/April 2014/Question 04 (a)/Hint 3

${\displaystyle \int _{a}^{b}f(x){\textrm {d}}x=\lim _{n\to \infty }\sum _{k=1}^{n}f(x_{i})\Delta x}$
where ${\displaystyle \Delta x={\frac {b-a}{n}}}$. Compare this formula to what is given to determine the unknowns.