If - xlog x- 1- x 2 - 1- x 2 dx -A- 1- x 2 log x- 1- x 2 -Bx-C- then

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

Chain Rule of Differentiation

If ∫ xlog x...

Question

If $\int \frac{x log (x + \sqrt{1 + x^{2}})}{\sqrt{1 + x^{2}}} d x = A \sqrt{1 + x^{2}} log (x + \sqrt{1 + x^{2}}) + B x + C$ , then

A = - 1

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

B = - 1

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

A = 1

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

None of these

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

Open in App

Solution

Suggest Corrections

Similar questions

The solution of $\frac{d y}{d x} = x l o g x$ is
[MP PET 2003]

Evaluate $\int \frac{1}{(1 - x^{2}) \sqrt{1 + x^{2}}} d x$

If the equations $x^{2} + b x + c = 0 a n d x^{2} + c x + b = 0 (b \neq c)$ have a common root, then :

\int \frac{\sqrt{x^{2} + 1}}{1 - x^{2}} d x = \frac{1}{\sqrt{2}} f (x) - g (x) + C

C

\int \frac{\sqrt{x^{2} + 1}}{1 - x^{2}} d x = \frac{1}{\sqrt{2}} f (x) - g (x) + C

C

Join BYJU'S Learning Program