We can use some funky properties of integrals here to express the integral in terms of ones we already know. Note that,
[tex]\int^4_1{[3f(x)+2]}dx = 3\int^4_1f(x) dx + \int2dx[/tex] then,
[tex]=(3 \times 10) + \int^4_1{2}dx[/tex], since we know the value of [tex]\int^4_1f(x)_[/tex].
I will leave you to complete the remaining, easy steps.
