Home
Class 12
MATHS
Evaluate the definite integrals int1 ^2...

Evaluate the definite integrals
`int_1 ^2(5x^2)/(x^2+4x+3)`

Text Solution

Verified by Experts

Solution :
Let I = `int _2^1(((6x^2)/x^+4x+3))dx`
=>`I=[I1]_2^1`
Therefore, `I1=int (5x^2)/ (x^2+4x+3)dx=>I1= int 5+(-20x-15)/(x^2+4x+3)dx`
=`int 5dx-5 int(4x+3)/((x+3)(x+1))dx`
=`int 5x-5 int(4x+3)/((x+3)(x+1))dx`
`(4x+3)/((x+3)(x+1))=A/(x+3)+B/(x+1) ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.6|24 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.10|10 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Evaluate the definite integrals int_(4)^(5)e^(x)dx

Evaluate the definite integrals int_(0)^(2)(6x+3)/(x^(2)+4)dx

Evaluate the definite integrals int_(2)^(3)(1)/(x)dx

Evaluate the definite integrals int_(1)^(2)(4x^(3)-5x^(2)+6x+9)dx

Evaluate the definite integrals int_(2)^(3)(xdx)/(x^(2)+1)

Evaluate the definite integrals int_(2)^(3)(dx)/(x^(2)-1)

Evaluate the definite integrals int_(0)^(1)(dx)/(1-x^(2))

Evaluate the definite integrals int_(0)^(1)(2x+3)/(5x^(2)+1)dx

Evaluate the following definite integral: int_(1)^(4)(x^(2)+x)/(sqrt(2x+1))dx

Evaluate the following definite integral: int_(1)^(2)(x+3)/(x(x+2))dx