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Evaluate the indefinite integral:∫10w4+9w3+7wdw

Answer»

\(\int (10w^4 + 9w^3 + 7w)dw\)

\(= 10 \int w^4dw + 9\int w^3 dw +7\int wdw\)

\(= 10\left(\frac{w^5}{5}\right)+ 9\left(\frac{w^4}{4}\right)+ 7\left(\frac{w^2}2\right)+ C\)

\(= 2w^5 + \frac94w^4 + \frac72w^2 + C\)



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