Mathematics

solve$$\int(1+x)^{2}$$


SOLUTION
$$\begin{matrix} { \int { \left( { 1+x } \right)  } ^{ 2 } } \\ \Rightarrow \int { 1+2x+{ x^{ 2 } }dx }  \\ \Rightarrow \int { dx+2fxdx+f{ x^{ 2 } } } dx \\ \Rightarrow x+\frac { { 2{ x^{ 2 } } } }{ 2 } +\frac { { { x^{ 3 } } } }{ 3 } +c \\ \Rightarrow x+{ x^{ 2 } }\frac { { { x^{ 3 } } } }{ 3 } +c\, \, \, \, \, Ans \\  \end{matrix}$$
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Subjective Medium Published on 17th 09, 2020
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