Oscar Proudlove
Assignment T1-20240311 due 03/11/2024 at 03:53pm EDT
Problem 1. (2 points)
Zarabi2
Problem 4. (3 points)
Evaluate the integral
Evaluate the integral
Z
Z
7
dx
(x − 2)(x2 + 4)
p
−5 3 − 2x − x2 dx
Note: Use an upper-case ”C” for the constant of integration.
Note: Use an upper-case ”C” for the constant of integration.
Answer(s) submitted:
Answer(s) submitted:
• 7/8(ln(|(x-2)|)) - 7/16(ln(|(xˆ2+4)|)) - 7/8arctan(x/2) + C•
(incorrect)
Problem 5. (3 points)
(correct)
Problem 2. (3 points)
Find the integral.
Z
Using disks or washers, find the volume of the solid obtained by
rotating the region bounded by the curves y = ex , y = 0, x = −2,
and x = 1 about the x-axis.
e4x sin(3x)dx =
Answer(s) submitted:
• (4eˆ(4x)sin(3x))/25 + (3eˆ(4x)cos(3x))/25 + C
Volume =
(incorrect)
Problem 3. (3 points)
Answer(s) submitted:
• 11.5778
(correct)
Problem 6. (3 points)
Find the length of the curve defined by
Evaluate the integral
Z
2 cot5 (x) sin4 (x) dx
y = 5x3/2 − 5
Note: Use an upper-case ”C” for the constant of integration.
from x = 5 to x = 10.
The length is
Answer(s) submitted:
• 2ln|(sinx)| - 2sinˆ2(x) + (sinˆ4(x))/2 + C
Answer(s) submitted:
• 102.3357
(correct)
(correct)
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