A curve passes through the point $\left( -2,\frac{1}{2} \right)$ and has gradient given by \(\frac

Question

A curve passes through the point $\left( -2,\frac{1}{2} \right)$ and has gradient given by $\frac{\mathrm{d}y}{\mathrm{d}x}={{\left( 2x+1 \right)}^{2}}$. Find the equation of the curve.

Accepted Answer

$y=\frac{1}{6}(2x+1)^3+5$

Integration - Finding the Equation of the Curve

Integration - Finding the Equation of the Curve

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