45–50 Sketch the region of integration and change the order of integration.
∫
0
1
∫
arctan
x
π
/
4
f
(
x
,
y
)
d
y
d
x
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.
/ Giving the following function f(x,y). Sketch the region of integration and integrate f over
this region.
F(x,y)= 1/(xy) over the square 1 ≤x≤2, 1≤y≤3
Please solve a question quickly
a)Define Integration and its Rules.
b) Find out the following integrations.
(i) 7Cos(5x)dx (iii)(x3/2+2x+3)dx
(ii) (-6x3+9x2+4x-3)dx (iv)1/x√x dx
y = ex , y = 0 , x = 0 , x= ln2
Draw the region bounded by the curves y = e^x , y = 0 , x = 0 , x= ln2 in the first quartile. Express the area of this region as a double integral. Solve the integral.
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.
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