Lecture 4 Part 4 Integrals Class 12 Maths

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