Answer
a) 5
b) $5\sqrt 3$
c) -5
d) -5
Work Step by Step
a) $\int^{2}_{1}f(u)du=\int^{2}_{1}f(x)dx=5$
b) $\int^{2}_{1}\sqrt {3}f(z)dz=\int^{2}_{1}\sqrt {3}f(x)dx $
$=\sqrt {3}\int^{2}_{1}f(x)dx=5\sqrt {3}$
c) $\int^{1}_{2}f(t)dt=\int^{1}_{2}f(x)dx $
$=-\int^{2}_{1}f(x)dx=-5$
d) $ \int^{2}_{1}[-f(x)]dx=-\int^{2}_{1}f(x)dx=-5$
