What is the integral from-3 to x of (ln(t))/(3t^2) ?

The integral from-3 to x of (ln(t))/(3t^2) is (-ln(x)-1)/(3x)-Does not exist

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integral from-3 to x of (ln(t))/(3t^2)

\int_{- 3}^{x} \frac{ln ( t )}{3 t ^{2}} d t

\frac{- ln ( x ) - 1}{3 x} - Does not exist

Solution steps

\int_{- 3}^{x} \frac{ln ( t )}{3 t ^{2}} d t

Compute the indefinite integral:

\int \frac{ln ( t )}{3 t ^{2}} d t = \frac{- ln ( t ) - 1}{3 t} + C

Compute the boundaries:

\int_{- 3}^{x} \frac{ln ( t )}{3 t ^{2}} d t = \frac{- ln ( x ) - 1}{3 x} -

Does not exist

= \frac{- ln ( x ) - 1}{3 x} - Does not exist

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\int_{- 1}^{1} 1 + x^{2} d x

What is the integral from-3 to x of (ln(t))/(3t^2) ?
The integral from-3 to x of (ln(t))/(3t^2) is (-ln(x)-1)/(3x)-Does not exist