Subjects
Applied Mathematics for Electrical Engineering - 3130908
Complex Variables and Partial Differential Equations - 3130005
Engineering Graphics and Design - 3110013
Basic Electronics - 3110016
Mathematics-II - 3110015
Basic Civil Engineering - 3110004
Physics Group - II - 3110018
Basic Electrical Engineering - 3110005
Basic Mechanical Engineering - 3110006
Programming for Problem Solving - 3110003
Physics Group - I - 3110011
Mathematics-I - 3110014
English - 3110002
Environmental Science - 3110007
Software Engineering - 2160701
Data Structure - 2130702
Database Management Systems - 2130703
Operating System - 2140702
Advanced Java - 2160707
Compiler Design - 2170701
Data Mining And Business Intelligence - 2170715
Information And Network Security - 2170709
Mobile Computing And Wireless Communication - 2170710
Theory Of Computation - 2160704
Semester
Semester - 1
Semester - 2
Semester - 3
Semester - 4
Semester - 5
Semester - 6
Semester - 7
Semester - 8
Mathematics-I
(3110014)
Maths-I-3110014
Integral
BE | Semester
1
Unit : Integral
BE - Semester -
Winter - 2019
-
17-01-2020
Total Marks :
70
Q2
(c)
Winter-2019
Change the order of integration and evaluate
∫
0
1
∫
x
1
sin
y
2
dy
dx
.
7 Marks
Unit : Integral
Q3
(b)
Winter-2019
Evaluate
∬
x
2
-
y
2
dx
dy
over the triangle with the vertices
0
,
1
,
1
,
1
,
1
,
2
.
4 Marks
Unit : Integral
Q4
(a)
Winter-2019
Evaluate
∫
0
π
∫
0
sin
θ
r
d
r
d
θ
.
3 Marks
Unit : Integral
Q5
(a)
Winter-2019
Evaluate
∫
0
1
∫
1
2
xy
d
y
d
x
.
3 Marks
Unit : Integral
Q5
(c)
Winter-2019
Evaluate
∫
∫
∫
xyz
dx
dy
dz
over the positive octant of the sphere
x
2
+
y
2
+
z
2
=
4
.
7 Marks
Unit : Integral