Home/Question #2772
PracticeMedium

Q.∫x1+2x+x2 dx\int \dfrac{x}{\sqrt{1 + 2x + x^2}} \, dx equals

a
1+2x+x2−log⁡∣x+1+1+2x+x2∣+C\sqrt{1 + 2x + x^2} - \log|x + 1 + \sqrt{1 + 2x + x^2}| + C
b
1+2x+x2+log⁡∣x+1+1+2x+x2∣+C\sqrt{1 + 2x + x^2} + \log|x + 1 + \sqrt{1 + 2x + x^2}| + C
c
121+2x+x2+C\dfrac{1}{2} \sqrt{1 + 2x + x^2} + C
d
log⁡∣x+1+1+2x+x2∣+C\log|x + 1 + \sqrt{1 + 2x + x^2}| + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

Unlock Detailed Solution

Register for Free

Already a member? Login here