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Improper Integrals (Type 1)

If the limit of f(x) as x ->∞ is 0, we can sometimes make sense of the integral of f(x) from 1 to ∞ by taking a limit of the integral of f(x) from 1 to t as t goes to ∞. Below we measure the integral of f(x)dx from 1 to t for various t. (f(x) = 1/x² initially.)
- Drag the slider to change the value of t. - Type "f(x) = ___" to change the function.