Solved: "For the integral state the number of the..."

expeditiupc

Answered question

2021-12-19

For the integral state the number of the integration formula and the values of the constans a and b so that the formula fits the integral

\int \frac{1}{x^{2} (4 x - 3)} d x

Heather Fulton

Beginner2021-12-20Added 31 answers

Here, the following formula used for solving this problem.

\int \frac{1}{x^{2} (a x + b)} d x = \frac{2 a x - 4 b}{3 a^{2}} \sqrt{a x + b} + C

Where

a = 4

and

b = - 3

\Rightarrow \int \frac{1}{x^{2} (4 x - 3)} d x = \frac{2 \times 4 x - 4 (- 3)}{3 \times {(4)}^{2}} \sqrt{4 x - 3} + C

= \frac{8 x + 12}{48} \sqrt{4 x - 3} + C

= \frac{2 x + 3}{12} \sqrt{4 x - 3} + C

Foreckije

Beginner2021-12-21Added 32 answers

Is there any other solution?

RizerMix

Expert2021-12-29Added 656 answers

This is an integral, it has one solution

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