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Need Solution for R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise 18.21 Question 4 Maths Textbook Solution.

Answers (1)

Answer: 2 \sqrt{3 x^{2}-5 x+1}+c

Given:\int \frac{6 x-5}{\sqrt{3 x^{2}-5 x+1}} d x

Hint: Simplify it and solve it


           Let I=\int \frac{6 x-5}{\sqrt{3 x^{2}-5 x+1}} d x

           Let 3 x^{2}-5 x+1=y

           \Rightarrow(6 x-5) d x=d y

           I=\int \frac{d y}{\sqrt{y}}


            \begin{aligned} &I=2 \sqrt{y}+c \\ &I=2 \sqrt{3 x^{2}-5 x+1}+c \end{aligned}                    

                                                                (From equation (1))


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