Work through the following steps to evaluate S. ( (x² + 4) dx. a) We know that a = and b = b) Using n subintervals, Ax = c) Assume that the sample points in each interval are right endpoints. Find the following sample points: #1 = x2 = x3 = Note: your answer will be an expression in terms of i In general, the ith sample point is x₂ = and n. d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in terms of n. n Σf(x₁) Ax = i=1 e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. √° (x² + 4) dx = lim Σ f(x₁) Ax = 818 i=1 suor
Work through the following steps to evaluate S. ( (x² + 4) dx. a) We know that a = and b = b) Using n subintervals, Ax = c) Assume that the sample points in each interval are right endpoints. Find the following sample points: #1 = x2 = x3 = Note: your answer will be an expression in terms of i In general, the ith sample point is x₂ = and n. d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in terms of n. n Σf(x₁) Ax = i=1 e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. √° (x² + 4) dx = lim Σ f(x₁) Ax = 818 i=1 suor
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![Work through the following steps to evaluate
ef. (²
(x² + 4) dx.
a) We know that a =
and b =
b) Using n subintervals, Ax =
c) Assume that the sample points in each interval are right endpoints. Find the following sample points:
#1 =
x2 =
x3 =
Note: your answer will be an expression in terms of i
In general, the ith sample point is x₂ =
and n.
d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in
terms of n.
n
Σf(x₁) Ax=
i=1
e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity.
6
√° (x² + 4) dx =
lim
Σ f(x₁) Ax =
818
i=1
swor](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde2e912e-8c9c-4439-af75-743cb70f8122%2Fca7b1c6f-65af-481c-89b6-4ed602357e52%2Fe0hrkxd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Work through the following steps to evaluate
ef. (²
(x² + 4) dx.
a) We know that a =
and b =
b) Using n subintervals, Ax =
c) Assume that the sample points in each interval are right endpoints. Find the following sample points:
#1 =
x2 =
x3 =
Note: your answer will be an expression in terms of i
In general, the ith sample point is x₂ =
and n.
d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in
terms of n.
n
Σf(x₁) Ax=
i=1
e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity.
6
√° (x² + 4) dx =
lim
Σ f(x₁) Ax =
818
i=1
swor
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