The value of _0^ ^2x ,dx is

JEE Advanced Mathematics question

The value of is

(A)0
(B)2
(C)1
(D)none of theseCorrect

Answer: (D)

Solution

The trap is to write and choose (a). That is wrong because is unbounded at , which lies inside . The Newton–Leibniz formula cannot be applied across that point. Treat it as an improper integral:

x dx=(^{π/2-\

See the full step-by-step solution

Create a free account to read the complete working (4 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-109493