What is the integral from 0 to infinity of t^2 ?

The integral from 0 to infinity of t^2 is diverges

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integral from 0 to infinity of t^2

\int_{0}^{\infty} t^{2} d t

diverges

Solution steps

\int_{0}^{\infty} t^{2} d t

Compute the indefinite integral:

\int t^{2} d t = \frac{t ^{3}}{3} + C

Compute the boundaries:

\int_{0}^{\infty} t^{2} d t =

diverges

= diverges

\int \frac{x ^{- \frac{1}{2}}}{1 + x ^{\frac{1}{2}}} d x

\frac{1}{4 x - 3}

\int_{0}^{1} 5 e^{- 3 x} d x

\int_{7}^{9} (x^{2} + 2 x - 4) d x

\frac{d r}{d θ} = 10 - 6 r

What is the integral from 0 to infinity of t^2 ?
The integral from 0 to infinity of t^2 is diverges