Toronto Math Forum
Welcome,
Guest
. Please
login
or
register
.
1 Hour
1 Day
1 Week
1 Month
Forever
Login with username, password and session length
News:
Home
Help
Search
Calendar
Login
Register
Toronto Math Forum
»
MAT334--2020F
»
MAT334--Tests and Quizzes
»
Quiz 4
»
Quiz-4-6101 C
« previous
next »
Print
Pages: [
1
]
Author
Topic: Quiz-4-6101 C (Read 3649 times)
Jiaqi Bi
Jr. Member
Posts: 11
Karma: 0
Quiz-4-6101 C
«
on:
October 23, 2020, 08:37:43 AM »
Question: $$\int_\gamma sin(z)dz,$$
where $\gamma$ is any curve joining $i$ to $\pi$
Solution:\begin{align*}
&\int_\gamma sin(z)dz\\
&=\int_{i}^{\pi} sin(z)dz\\
&=-cos(z) \Big|_{i}^{\pi}\\
&=-(cos(\pi)-cos(i))\\
&=1+cos(i)
\end{align*}
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
MAT334--2020F
»
MAT334--Tests and Quizzes
»
Quiz 4
»
Quiz-4-6101 C