Asked by Sarah
Find the area of the region bounded by:
y=2x−tan0.18x, x=1, x=5, y=0
Round your answer to 3 decimal places.
I get 9 but its wrong! please help
y=2x−tan0.18x, x=1, x=5, y=0
Round your answer to 3 decimal places.
I get 9 but its wrong! please help
Answers
Answered by
MathMate
Let f(x)=2x-tan(0.18x)
the area required is given by integrating,
∫(2x-tan(0.18x))dx
for x=1 to 5.
How did you come up with a value of 9?
Please show your work so we can help you correct the steps.
As a rough estimate, we can see that
f(1)=1.81
f(5)=8.74
And it is a relatively straight line between the two limits, so a <i>rough</i> estimate of the result is
((5-1)/2)(1.81+8.74)=21
the area required is given by integrating,
∫(2x-tan(0.18x))dx
for x=1 to 5.
How did you come up with a value of 9?
Please show your work so we can help you correct the steps.
As a rough estimate, we can see that
f(1)=1.81
f(5)=8.74
And it is a relatively straight line between the two limits, so a <i>rough</i> estimate of the result is
((5-1)/2)(1.81+8.74)=21
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