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18.07.2022 - 08:02

Integrate integral t 2 + 2 t 2 d t

Question:

Integrate

{eq}int \frac{t^2 +2}{t^2} dt {/eq}

Answers (1)

Dorotha April 1, 2023 в 14:20

The given integral is: ?(t? + 2)/t? dt Let's simplify the integrand first, by writing it as: ?(t?/t? + 2/t?) dt = ?(1 + 2/t?) dt Now we can integrate each term separately: = ?1 dt + ?2/t? dt = t - 2/t + C (where C is the constant of integration) Therefore, the solution to the given integral is: ?(t? + 2)/t? dt = t - 2/t + C

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