Question

Evaluate the indefinite integral:

∫10w⁴+9w³+7wdw

Answer 1

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

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

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

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