Let
![I = \displaystyle \int e^{-2x} \cos(2x) \, dx[/]texIntegrate by parts:[tex]\displaystyle \int u \, dv = uv - \int v \, du](https://tex.z-dn.net/?f=I%20%3D%20%5Cdisplaystyle%20%5Cint%20e%5E%7B-2x%7D%20%5Ccos%282x%29%20%5C%2C%20dx%5B%2F%5Dtex%3C%2Fp%3E%3Cp%3EIntegrate%20by%20parts%3A%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cdisplaystyle%20%5Cint%20u%20%5C%2C%20dv%20%3D%20uv%20-%20%5Cint%20v%20%5C%2C%20du)
with

Then

Integrate by parts again, this time with

so that

Answer:
Step-by-step explanation:
90+75=135
135-125
Answer:
2.25
Step-by-step explanation:
divide
Answer:
the third one
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
C is at the second tick of 6 segements, so C = 2/6 = 1/3.
If we convert all fractions to /60, you can easily see the answer:
1/3 = 20/60
2/5 = 24/60
1/4 = 15/60
1/5 = 12/60
So we're looking for an answer larger than 20/60, which is only 24/60, a.k.a. 2/5.