Question

Evaluate. S (1222 +7+-5) dt 0 24t + 7 + C O 6 +7t2 - 5t +C O 12+ + 7+2 - 5t + C 412 +222-5t+C

Answer 1

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}`