1 Answer

RKrishna · Answer 1 · 2023-08-09T13:42:38+0000

Evaluate

$\int (12t^2\text{ + 7t -5) dt }$

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Rule

$\int (t^n\text{) dt = }(t^(n+1))/(n+1)$

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So then,

$\int (t^2\text{) dt = }(t^(2+1))/(2+1)=(1)/(3)t^3$

$\int (t^{}\text{) dt = }(t^(1+1))/(1+1)=(1)/(2)t^2$

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Answer

$\int (12t^2\text{ + 7t -5) dt }=\text{ }(12)/(3)t^{3\text{ }}+(7)/(2)t^2\text{ - 5 t +c= }4t^{3\text{ }}+(7)/(2)t^2\text{ - 5 t +c}$

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