Integrals
NCERT Class 12
CBSE
Grade 12
Question:
$\int \dfrac{dx}{\sqrt{x^2 + 2x + 2}}$ is equal to:
(a) $\log|x + 1 + \sqrt{x^2 + 2x + 2}| + C$
(b) $\log|x + \sqrt{x^2 + 2x + 2}| + C$
(c) $\sin^{-1}(x + 1) + C$
(d) $\tan^{-1}(x + 1) + C$
Step-by-Step Solution
$\log|x+1 + \sqrt{x^2+2x+2}| + C$. [1.0 Mark]
---
🎯 Official CBSE Marking Scheme:
Evaluating integral $= \log|x+1+\sqrt{x^2+2x+2}| + C$: 1.0 Mark
Correct Answer: $\log|x + 1 + \sqrt{x^2 + 2x + 2}| + C$
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.