Write an Equivalent Double Integral with the Order of Integration $\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \tan ^ { - 1 } x } d y d x$

question 67

Multiple Choice

Write an equivalent double integral with the order of integration reversed.
- $\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \tan ^ { - 1 } x } d y d x$

• A) \(\int _ { 0 } ^ { \pi / 4 } \int _ { \tan y } ^ { \pi / 2 } d x d y\)
• B) \(\int _ { 0 } ^ { \pi / 4 } \int _ { \tan ^ { - 1 } y } ^ { \pi / 2 } d x d y\)
• C) \(\int _ { 0 } ^ { \pi / 4 } \int _ { \tan y } ^ { 1 } d x d y\)
• D) \(\int _ { 0 } ^ { \pi / 4 } \int _ { \tan ^ { - 1 } y } ^ { 1 } d x d y\)

---

Definitions:

Municipal Bond

A debt security issued by municipalities to finance their capital expenditures, typically tax-exempt for investors.

Government Bonds

Securities issued by a government to finance its expenditures, offering a fixed interest rate over a certain period.

Federal Income Tax

A charge imposed by the US federal government on the yearly income of persons, companies, trusts, and other entities.

Interest Rate

The percentage charged on the total amount of borrowed money or paid on investments, over a specific time frame.