To evaluate -dx-x-1-x2-3x-2 one of the most suitable substitution could be

The correct options are C √( x^2+3x 2)=u(1 x) D √( x^2+3x 2)=u(x 2) x ^ 2 +3x 2= x ^ 2 +2x+x 2= x( x 2 ) +1( x 2 ) =( 1 x ) ( x 2 ) #160; ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Integration by Substitution

To evaluate ...

Question

To evaluate $\int \frac{d x}{(x - 1) \sqrt{- x^{2} + 3 x - 2}}$ one of the most suitable substitution could be

\sqrt{- x^{2} + 3 x - 2} = u

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{- x^{2} + 3 x - 2} = (u x \sqrt{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{- x^{2} + 3 x - 2} = u (1 - x)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\sqrt{- x^{2} + 3 x - 2} = u (x - 2)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

Suggest Corrections

Similar questions

If \int \frac{d x}{\sqrt{x^{2} - 3 x + 2}} = log (A | + C, then A =

\int \frac{5 x + 4}{\sqrt{x^{2} + 3 x + 2}} d x = A \sqrt{x^{2} + 3 x + 2} - B ln [(x + \frac{3}{2}) + \sqrt{x^{2} + 3 x + 2}] + C

A + 2 B =

l i m_{x \to 2} [\frac{x^{2} - 5 x + 6}{x^{2} - 3 x + 2}]

lim x \to 2 [\frac{1}{x (x - 2)^{2}} - \frac{1}{x^{2} - 3 x + 2}]

Find the range of $x$ for the following expression:

$∣ ∣ \frac{x^{2} - 3 x + 2}{x^{2} + 3 x + 2} ∣ ∣ \geq 1$

Join BYJU'S Learning Program