Integrate: x / ( x^2 -a^2 ) ( x^2 - b^2 )

Answers (1)

Solution: 

                  I=int fracx(x^2-a^2)(x^2-b^2)dx      Put   x^2=yRightarrow 2xdx=dy,

        Rightarrow     I=frac12int frac1(y-a^2)(y-b^2)dy=frac12(a^2-b^2)int [frac1y-a^2-frac1y-b^2]dy

      Rightarrow      I=frac12(a^2-b^2)[log (y-a^2)-log (y-b^2)]+c

     Rightarrow                      I=frac12(a^2-b^2)log (fracx^2-a^2x^2-b^2)+c.   

Most Viewed Questions

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions