JEE Mains · Maths · STD 12 - 8. Application and integration
The area (in sq. units) of the region bounded by the parabola, \(y = x^2 + 2\) and the lines, \(y = x + 1, x = 0\) and \(x = 3\), is
- A \(\frac{15}{4}\)
- B \(\frac{21}{2}\)
- C \(\frac{17}{4}\)
- D \(\frac{15}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{15}{2}\)
Step-by-step Solution
Detailed explanation
Required area \(\int\limits_0^3 {\left( {\left( {{x^2} + 2} \right) - (x + 1)} \right)} dx\) \( = \int\limits_0^3 {\left( {{x^2} - x + 1} \right)dx = \frac{{15}}{2}} \)
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