Question
∫∞11x2dx does not have a finite value
Answer: Option A
:
A
Let’s calculate its value.
In such cases where we have to deal with infinity as the limits of definite integral, we’ll change the limit which is not finite to a variable and then put the limits.
∫∞11x2dx=lima→∞∫a11x2dx
= lim a→∞(−1x)|a1 Since, ∫1x2dx=(−1x)
=0−(−1)=1
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:
A
Let’s calculate its value.
In such cases where we have to deal with infinity as the limits of definite integral, we’ll change the limit which is not finite to a variable and then put the limits.
∫∞11x2dx=lima→∞∫a11x2dx
= lim a→∞(−1x)|a1 Since, ∫1x2dx=(−1x)
=0−(−1)=1
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