The integral ∫20 [x2] dx ([t] denotes the greatest integer less than or equal to t) is equal to :

Question

The integral ∫20 [x2] dx ([t] denotes the greatest integer less than or equal to t) is equal to : (A) 5 - 2 √3 (B) 5 - √2 - √3 (C) 6 - √2 - √3 (D) 3 - √2

Tardigrade Admin · Accepted Answer

Correct answer is (b) 5 - √2 - √3

Q. The integral $\int_{0}^{2} [x^{2}] d x$ ([t] denotes the greatest integer less than or equal to t) is equal to :

$5 - 23$

$5 - 2 - 3$

$6 - 2 - 3$

$3 - 2$

Correct answer is (b) $5 - 2 - 3$

Q. The integral ∫02​[x2]dx ([t] denotes the greatest integer less than or equal to t) is equal to :

5−23​

5−2​−3​

6−2​−3​

3−2​

Correct answer is (b) 5−2​−3​

Q. The integral $\int_{0}^{2} [x^{2}] d x$ ([t] denotes the greatest integer less than or equal to t) is equal to :

$5 - 23$

$5 - 2 - 3$

$6 - 2 - 3$

$3 - 2$

Correct answer is (b) $5 - 2 - 3$