Definite Integration
Evaluating Definite Integrals
Grade 12
Question:
<p>The value of <span>\(\int_{-1}^{1} \frac{1+\sin x + x^2}{1+\sin x + x^2} dx\)</span> is</p>
<p>(A) 0</p>
<p>(B) 2</p>
<p>(C) \(2\int_0^1 \frac{1}{1+\sin x + x^2} dx\)</p>
<p>(D) \(2\int_0^1 \frac{x}{1+\sin x + x^2} dx\)</p>
Step-by-Step Solution
Key Concept: Recognize that the integrand simplifies to 1, making this a straightforward evaluation.
<p><strong>IIT - 1994</strong></p>
Correct Answer: B