101
Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and L’Hôpital’s Rule
770.
1
25
2
x x
dx
−
∫
771.
1
1
2
2
x
x
x
dx
−
(
)
−
∫
772.
e
e
dx
x
x
3
6
1 −
∫
773.
x
x
dx
+
+
∫
4
4
2
774.
2
3
4
2
2
3
x
x x
dx
−
−
∫
Evaluating Hyperbolic
Functions Using
Their Definitions
775–779 Use the definition of the hyperbolic
functions to find the values.
775. sinh 0
776. cosh (ln 2)
Finding Antiderivatives by
Using Inverse Trigonometric
Functions
763–774 Find the indefinite integral or evaluate the
definite integral.
763.
2
1
2
0
1
x
dx
+
∫
764.
5
1
2
1 2
3 2
−
∫
x
dx
765.
dx
x
1 9
2
−
∫
766.
sin
−
−
∫
1
2
0
1 2
1
x
x
dx
767.
cos
sin
x
x
dx
1
2
0
2
+
∫
π
768.
1
1
2
x
x
dx
+ ( )
(
)
∫
ln
769.
dx
x
x
1 +
(
)
∫