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practice questions on improper integrals, Exercises of Applied Mathematics

Maharishi Dayanand University Applied Mathematics

questions on imprper intergrals

Typology: Exercises

2018/2019

Uploaded on 12/18/2019

chandan-kumal 🇮🇳

1 document

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Lecture Notes Improper Integrals page 1

Sample Problems

1.

1

Z1

1

x4dx

2.

1

Z1

1

xdx

3.

1

Z10

1

xln xdx

4.

1

Z0

e5xdx

5.

1

Z0

xex2dx

6.

1

Z0

xe5xdx

7.

1

Z

1

1

1 + x2dx

8.

1

Z0

1

xdx

9.

1

Z0

1

pxdx

10.

1

Z0

ln x dx

11.

4

Z

1

x

x29dx

12.

25

Z0

1

pxdx

13.

2

Z1

1

p2xdx

14.

5

Z0

1

3

p2xdx

Practice Problems

1.

1

Z1

1

xdx

2.

1

Z1

1

x2dx

3.

1

Z2

e5xdx

4.

1

Z0

1

xdx

5.

1

Z0

1

x2dx

6.

1

Z0

1

3

pxdx

7.

1

Z5

1

xln xdx

8.

1

Z0

1

xln xdx

9.

1

Z0

xe2xdx

10.

2

Z1

x2

x38dx

11.

1

Z1

1

x2+ 3 dx

12.

=2

Z0

tan x dx

13.

1

Z0

1

p1x2dx

14.

1

Z0

x

p1x2dx

15.

2

Z1

1

xpx21dx

16.

1

Z2

1

xpx21dx

17.

2

Z1

1

(x1) (x2+ 1) dx

18.

1

Z2

1

(x1) (x2+ 1) dx

19.

1

Z0

1

3

pxdx

c

Hidegkuti, Powell, 2009 Last revised: August 24, 2013

Partial preview of the text

Download practice questions on improper integrals and more Exercises Applied Mathematics in PDF only on Docsity!

Lecture Notes Improper Integrals page 1

Sample Problems

Z^1

1

x^4 dx

Z^1

1

x

dx

Z^1

10

x ln x dx

Z^1

0

e^5 x^ dx

Z^1

0

xex^2 dx

Z^1

0

xe^5 x^ dx

Z^1

1 + x^2 dx

Z^1

0

x dx

Z^1

0

p^1 x

dx

Z^1

0

ln x dx

Z^4

1

x x^2 9

dx

Z^25

0

p^1 x

dx

Z^2

1

p^1 2 x

dx

Z^5

0

p (^32) x dx

Practice Problems

Z^1

1

x dx

Z^1

1

x^2

dx

Z^1

2

e^5 x^ dx

Z^1

0

x

dx

Z^1

0

x^2

dx

Z^1

0

p (^3) x dx

Z^1

5

x ln x dx

Z^1

0

x ln x dx

Z^1

0

xe^2 x^ dx

Z^2

1

x^2 x^3 8

dx

Z^1

1

x^2 + 3 dx

=Z 2

0

tan x dx

Z^1

0

p 1 x^2

dx

Z^1

0

p^ x 1 x^2

dx

Z^2

1

x

p x^2 1

dx

Z^1

2

x

p x^2 1

dx

Z^2

1

(x 1) (x^2 + 1)

dx

Z^1

2

(x 1) (x^2 + 1) dx

Z^1

0

p (^3) x dx

c Hidegkuti, Powell, 2009 Last revised: August 24, 2013

Lecture Notes Improper Integrals page 2

Answers - Sample Problems

11.) unde ned 12.) 10 13.) 2 14.) 3 2

p 3 9 3

p 4

Answers - Practice Problems

5 e^10 4.)^1 5.)^1 6.)^

2 7.)^1 8.)^ 1^ 9.)^

4 10.)^

p 3 9

ln 5 4

+^1

tan^1 2 0 :170 535 7 19.) 3 2

c Hidegkuti, Powell, 2009 Last revised: August 24, 2013

practice questions on improper integrals, Exercises of Applied Mathematics

Related documents

Partial preview of the text

Download practice questions on improper integrals and more Exercises Applied Mathematics in PDF only on Docsity!

Lecture Notes Improper Integrals page 1

Sample Problems

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^4

Z^25

Z^2

Z^5

Practice Problems

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^1

Z^2

Z^1

=Z 2

Z^1

Z^1

Z^2

Z^1

Z^2

Z^1

Z^1

Lecture Notes Improper Integrals page 2

Answers - Sample Problems

Answers - Practice Problems

2 7.)^1 8.)^ 1^ 9.)^

4 10.)^

+^1

=Z 2