E-PI01 · Two reverse power rules
For \(x\ge0\), let \(\displaystyle f(x)=\frac5{\sqrt{2x+1}}-\frac6{(x+2)^2}\).
Find \(\int f(x)\,dx\).
Evaluate \(\int_0^4 f(x)\,dx\).
Find k if \(\int_4^0[2f(x)+k]\,dx=-4\).
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