Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (e)/Hint 1

Use the fact that the integral is linear, i.e,

$\int _{a}^{b}\alpha f(x)\,dx=\alpha \int _{a}^{b}f(x)\,dx,\ \alpha \in \mathbb {R}$

and

$\int _{a}^{b}f(x)+g(x)\,dx=\int _{a}^{b}f(x)\,dx+\int _{a}^{b}g(x)\,dx.$