The value of _ ^3/27 ^ ^3/8 x ,dt, where t=x^3, is

JEE Advanced Mathematics question

The value of , where , is

Answer: (A)

The variable of integration is , so . The limits in give limits in : and . So

I= x· dx=3 x dx .

Integrate by parts twice:

x dx=- x+2x x dx=-

Create a free account to read the complete working (8 steps), and practise questions like this in a timed test.

Question ID VK-109499