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Numerade Educator



Problem 58 Easy Difficulty

What is wrong with the equation?

$ \displaystyle \int^{\pi}_{0} \sec^2 x \, dx = \tan x \Bigg]^{\pi}_{0} = 0 $


Integrand is not continuous

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Video Transcript

Okay, let's illustrate this with the graph. As you can see, we have a definite into girls are defined for inter girls, in which the functions continuous. However, seeking squared of axes not continues on the interval. Zero pie you can see over here there. It's not continuous. There's a little bit of space in between. In other words, this space over here is pi over to. So what this means is that it's discontinuous, a pie over chip.