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10 votes
10 votes
Question attached as screenshot, please help me I am paying close attention

Question attached as screenshot, please help me I am paying close attention-example-1
User Oisyn
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1 Answer

15 votes
15 votes

Answer


\int ((x^3)/(4)+(2x^2)/(3)-1)dx

Take the integral of each


\int (x^3)/(4)dx+\int (2x^2)/(3)dx-\int 1dx
\int (x^3)/(4)dx=(x^4)/(16)
\int (2x^2)/(3)dx=(2x^3)/(9)
\int 1dx=x

Now properly combine them back


(x^4)/(16)+(2x^3)/(9)-x+c

The final answer

Option D

User Augustine Jose
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2.4k points