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Evaluate. ſ (128 +7+-5) dt 0 24t + 7 + C O 6P + 7t2 - 5t + c O 12+ + 7t2 - 5t + C O4 + 72 - St+C

Evaluate. ſ (128 +7+-5) dt 0 24t + 7 + C O 6P + 7t2 - 5t + c O 12+ + 7t2 - 5t + C-example-1
User Abdul Rahman A Samad
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1 Answer

20 votes
20 votes

4t^3+(7)/(2)t^2-5t+C

Step-by-step explanation


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

Step 1

separate the terms


\int (12t^2+7t-5)\mathrm{d}t=\int 12t^2dt+\int 7tdt-\int 5\text{ d t}

then, solve each integer:

remeber


\int ax^ndx=((a))/(n+1)x^(n+1)

hence,


\begin{gathered} \int 12t^2dt+\int 7tdt-\int 5\text{ d }t=((12)/(3))t^(2+1)+(7)/(2)t^(1+1)-(5)/(1)t^(0+1) \\ \int 12t^2dt+\int 7tdt-\int 5\text{ d }=4t^3+(7)/(2)t^2-5t+C \end{gathered}

I hope this helps you

User Qwertzguy
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