# Lecture 4 Part 4 Integrals Class 12 Maths

INTEGRATION OF ALGEBRAIC FUNCTIONS

A SPECIAL CASE FOR THE SECOND METHOD

We use Perfect Square in cases like $\int\frac{dx}{ax^2+bx+c}$,$\int\frac{dx}{\sqrt{ax^2+bx+c}}$,$\int{\sqrt{ax^2+bx+c}dx}$

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Questions discussed in this video:

15. $\int \frac{dx}{9x^2+6x+5}$

16. $\int\frac{dx}{\sqrt{5x^2-2x}}$

17. $\int\frac{dx}{\sqrt{9x-4x^2}}$

18. $\int{\sqrt{1-4x-x^2}dx}$

19. $\int\frac{1}{\sqrt{(x-a)(x-b)}}dx$