340 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
5.7 Inverse Trigonometric Functions: Integration
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Find the indefinite integral.
a.
b.
c.
d.
e.
____ 2. Find the indefinite integral.
a.
b.
c.
d.
e.
5.7 Inverse Trigonometric Functions: Integration 341
____ 3. Find the indefinite integral.
a.
b.
c.
d.
e.
____ 4. Find the integral
a.
b.
c.
d.
e.
____ 5. Find the integral
a.
b.
c.
342 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
d.
e.
____ 6. Find the integral
a.
b.
c.
d.
e.
____ 7. Find the integral
a.
b.
c.
d.
e.
5.7 Inverse Trigonometric Functions: Integration 343
____ 8. Evaluate the integral
a.
b.
c.
d.
e.
____ 9. Evaluate the integral
a.
b.
c.
d.
e.
____ 10. Find the indefinite integral.
a.
b.
c.
d.
e.
344 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
____ 11. Find the indefinite integral.
a.
b.
c.
d.
e.
____ 12. Use the differential equation and the initial condition to
find y.
a.
b.
c.
d.
e.
____ 13. Use the differential equation and the initial condition to find
y.
a.
b.
c.
5.7 Inverse Trigonometric Functions: Integration 345
d.
e.
____ 14. Find the area of the shaded region for the function .
a.
b.
c.
d.
e.
____ 15. Find the area of the shaded region for the function .
346 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
a.
b.
c.
d.
e.
____ 16. Find the area of the shaded region for the function .
a.
b.
c.
d.
e.
5.7 Inverse Trigonometric Functions: Integration 347
5.7 Inverse Trigonometric Functions: Integration
Answer Section