WBJEE · Maths · Definite Integration
\(\int_{0}^{2}\left[\mathrm{x}^{2}\right] \mathrm{dx}\) is equal to where [] if GIF
- A 1
- B \(5-\sqrt{2}-\sqrt{3}\)
- C \(3-\sqrt{2}\)
- D \(8 / 3\)
Answer & Solution
Correct Answer
(B) \(5-\sqrt{2}-\sqrt{3}\)
Step-by-step Solution
Detailed explanation
Hint: \(\int_{0}^{1} 0 \mathrm{dx}+\int_{1}^{\sqrt{2}} 1 \cdot \mathrm{dx}+\int_{\sqrt{2}}^{\sqrt{3}} 2 \cdot \mathrm{d} x+\int_{\sqrt{3}}^{2} 3 \mathrm{~d} x\) \(=5-\sqrt{2}-\sqrt{3}\)
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