∬
R
x
sec
2
y
d
A
,
R
=
{
(
x
,
y
)
|
0
≤
x
≤
2
,
0
≤
y
≤
π
/
4
}
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.
Q-1/
Evaluate the integral
x?e*y dA
y- 1
(2, 1)
D
D
(0. 0)
f(x), a piecewise function made up of a semicircle and 3 lines, is graphed in
the figure to the right. Arrange the following integrals from largest to
smallest.
I.
dx
II.
dx
II
Α.1 Π
В. П, І, Ш
С. П, Ш, I
D. II, І, I
Suppose that y and z are twice-differentiable functions of x. Show that
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY