What is the integral from-infinity to x of f(t) ?

The integral from-infinity to x of f(t) is diverges

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integral from-infinity to x of f(t)

\int_{- \infty}^{x} f (t) d t

diverges

Solution steps

\int_{- \infty}^{x} f t d t

Compute the indefinite integral:

\int f t d t = \frac{f t ^{2}}{2} + C

Compute the boundaries:

\int_{- \infty}^{x} f (t) d t =

diverges

= diverges

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\int_{0}^{1} \frac{2 x y}{x ^{2} + 1} d x

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\int_{- 1}^{\infty} \frac{x}{4 + x ^{2}} d x

What is the integral from-infinity to x of f(t) ?
The integral from-infinity to x of f(t) is diverges