Without your calculator, evaluate the following integrals.

1. $\int _ { - 2 } ^ { 1 } ( 10 x - 3 ) d x$

   Hint (a):

   Visualize the graph of this integrand.

2. $\int _ { 0 } ^ { \pi / 3 } \operatorname { sec } x \operatorname { tan } x d x$

   Hint (b):

   Think! Reciprocal trig functions...

3. $\int _ { 9 } ^ { 25 } \sqrt { x } d x$

   Hint (c):

   Before you integrate, rewrite the integrand as an exponential expression.

4. $\int _ { 1 } ^ { e ^ { 2 } } \operatorname { ln } x d x$

   Hint (d):

   if $f(x) =\operatorname{ln}x$
   then $F(x) = x\operatorname{ln}x − x + C$

5. $\int _ { 0 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } d x$

   Hint (e):

   Think! Inverse trig functions...