Some Special Types of Integrals (Contd…)


Ask a Question, Get an Answer!
Hundreds of tutors are online and ready to help you right now!

Example:

Evaluate the integral

Suggested answer:

Referring to the above procedure (ii), we have

Comparing the coefficients of x and

4A = 1 B = 1

B = 1

Put (2x2 + 3) = t

Substituting I1 and I2 from (2) and (3) respectively in (1) we have

Integral of the form

Method:

Taking 1 as the second function and integrating by parts, we get

Integral of the form

Method:

We make the substitution

(1+t2)dx 2dt

Similarly,

By making the above substitutions the integrals will be reduced to the form  which can be integrated by method of completing squares.

Example:

Suggested answer:

dt = dZ



Ask a Question? Get an Answer!

connect to a tutor


Related Searches

special library

;,  

some special types of integrals

,  

some special integrals

,  

integration by parts examples integrals

,  

integral as an anti derivative

,  

indefinite integrals introduction

,  

indefinite integrals summary

,  
activity coefficient
,  
integration by substitution
,  
partial fraction
,  
integration by partial fraction
...more