Home
Class 12
MATHS
Evaluate the following improper integral...

Evaluate the following improper integrals :
(a) `int_(0)^(oo)(1nx)/(1+x^(2))dx,`
(b) `int_(0)^(oo)e^(-x^(2)x^(2m+1))dx`

Text Solution

Verified by Experts

The correct Answer is:
`0`
(b) `(m!)/(2)`
Promotional Banner

Topper's Solved these Questions

  • IMPROPER INTEGRALS

    IA MARON|Exercise 8.2 IMPROPER INTEGRALS OF UNBOUNDED FUNCTIONS|5 Videos

  • IMPROPER INTEGRALS

    IA MARON|Exercise 8.3 GEOMETRIC AND PHYSICAL APPLICATIONOS OF IMPROPER INTEGRALS|8 Videos

  • DIFFERENTIATION OF FUNCTIONS

    IA MARON|Exercise 2.7 (ADDITIONAL PROBLEMS)|7 Videos

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.4. Reduction Formulas|2 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)((1)/(x^(2)+1))dx

int_(0)^(oo)(1)/(3+x^(2))dx

int_(0)^(oo)(1)/(1+e^(x))dx=

Evaluate the following definite integrals: int_(0)^(oo)e^(-x)dx

I=int_(0)^(oo)(dx)/(1+e^(x))

int_(1)^(oo)(dx)/(x^(2))