Question

Who can help me with this question: f ' (x) = (x+3)(2x-5). Find f (x) when f ' (x) is given.

Answer 1

Expand and integrate

Answer 2

can anoyone help me and guide me to do this problem bcoz what my teacher explained I didnt get it.

Answer 3

Pretty straight forward for this one,
\[f'(x)=2 x^2+x-15\]
\[f(x)=\int\limits 2x^2+x-15 dx\]

Answer 4

\[f(x)=\frac{2}{3}x^3+\frac{x^2}{2}-15x+c\]

Answer 5

Use power rule for each terms,
\[\int\limits x^n~dx= \frac{x^{n+1}}{n+1}\]

Answer 6

isnt that \[\frac{ x ^{2} }2\] is \[\frac{ x ^{3} }{ 2 }\]

Answer 7

no, you only add one for the exponent

Answer 8

oh ok

Answer 9

so to use the power rule, so am I going to plug in 2x?