Question

Find the following integral:

Answer 1

ahhhh...

Answer 2

what

Answer 3

??

Answer 4

\[\int\limits((2-3x)\div(3+4x -3x ^{2}))dx\]

Answer 5

http://www.wolframalpha.com/input/?i=integral%28%282-3x%29%2F%283%2B4x-3x%5E2%29%29dx

Answer 6

Integration Techniques
Many integration formulas can be derived directly from their corresponding derivative formulas, while other integration problems require more work. Some that require more work are substitution and change of variables, integration by parts, trigonometric integrals, and trigonometric substitutions.

Answer 7

let u = -3x^2 + 4x + 3
du = -6x + 4 = 2(-3x +2)

du/2 = -3x + 2 so....

(du/2)/u =

du/2u

pull out the 1/2...

1/2 int (du/u)

int of du/u = ln u

change back...

1/2 ln (-3x^2 + 4x +3) or ln sqrt (-3x^2 + 4x+3)

right? :)

Answer 8

wow so fast.

Answer 9

but you forgotten the constant @lgbasallote :)

Answer 10

lol oh yeah :))

ln sqrt (-3x^2 + 4x +3) + C

Answer 11

lol IGBA...... is right!!

Answer 12

Nicely done! :)