Chapter 5, Problem 28RE

In parts (a)-(d), use the information in Exercise 27 to evaluate the given integral. If there is not enough information to evaluate the integral, then say so.

(a) ${\displaystyle {\int }_0^1\left[f\left(x\right)+g\left(x\right)\right]dx}$

(b) ${\displaystyle {\int }_0^{1}f\left(x\right)g\left(x\right)dx}$

(c) ${\displaystyle {\int }_0^1\frac{f\left(x\right)}{g\left(x\right)}dx}$

(d) ${\displaystyle {\int }_0^1\left[4g\left(x\right)-3f\left(x\right)\right]dx}$