Write your solutions clearly and legibly. No credit will be given for illegible solutions. 1. (10 points) Evaluate ∫ 1 0 e √ x

I have these 3 other questions i also need. Are you available? I could only pay 15.00 seeing as thats the last that i have. Attached is the file i would only need 2,3, and 5
INSTRUCTIONS
• Read each question carefully, and answer each question completely.
• Show all of your work. No credit will be given for unsupported answers.
• Write your solutions clearly and legibly. No credit will be given for
illegible solutions.
1. (10 points) Evaluate
∫
1
0
e
√
x
√
x
dx or state that it diverges.
# PTS
1
2
3
4
5
6
B
S
Σ
2. (10 points) Evaluate
∫
xe
−2x
sin(2x) dx. You may leave your answer as
unsimplified complex exponentials—that is, your final answer may contain
imaginary numbers.
2
3. (10 points) Simplify and express
(
−
1
√
2
+
1
√
2
ı
)
2+2ı
as a complex number a + bı, where a and b are real numbers.
4. (10 points) Find M6
for
∫
3
−3
ln(x
2
+ 1) dx.
3
5. (10 points) Evaluate
∫
x
3
+ 1
x(x
2
− 1)
dx
4
6. (10 points) Find the area of the inner loop of the limaçon r = 2 cos θ − 1
pictured below.
0.5 1.0 1.5 2.0 2.5 3.0
- 1.5
- 1.0
- 0.5
0.5
1.0
1.5
5
BONUS QUESTION (5 EXTRA CREDIT POINTS):
Show that if f (x) = rx + s is a linear function (r, s constants) then
T
N =
∫
b
a
f (x) dx
for all N and all endpoints a, b.
SURVEY QUESTION (5 EXTRA CREDIT POINTS):
To be determined.
6

for full question see attachment