Double integrals Evaluate each double integral over the region R by converting it to an iterated integral. 19. ∬ R 4 x 3 cos y d A ; R = { ( x , y ) : 1 ≤ x ≤ 2 , 0 ≤ y ≤ π /2 }
Double integrals Evaluate each double integral over the region R by converting it to an iterated integral. 19. ∬ R 4 x 3 cos y d A ; R = { ( x , y ) : 1 ≤ x ≤ 2 , 0 ≤ y ≤ π /2 }
Solution Summary: The author explains that the value of the given iterated integral is 15 and computes the integral with respect to y.
Double integralsEvaluate each double integral over the region R by converting it to an iterated integral.
19.
∬
R
4
x
3
cos
y
d
A
;
R
=
{
(
x
,
y
)
:
1
≤
x
≤
2
,
0
≤
y
≤
π
/2
}
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
For what value of A and B the function f(x) will be continuous everywhere for the given definition?..
2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.006.MI.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
7y2
y²
11
dy
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3. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.009.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
tan³(12/z) dz
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4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.014.
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
5 sinб12x dx
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY