Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Integral Calculus Definite Integrals

What is \(\mathop \smallint \nolimits_0^{\sqrt 2 } \left[ {{x^2}} \right]\;dx\) equal to (where [.] is the greatest integer function?

1
√2 – 1
2
1 - √2
3
2(√2 – 1)
4
√3 - 1
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