Mathematics

solve :
$$\int { \left( ax+b \right)  } ^{ 2 }dx $$


SOLUTION
$$\displaystyle\int (ax+b)^2dx$$
$$=\displaystyle\int a^2x^2+b^2+2abxdx$$
$$=\displaystyle\int a^2x^2dx+\displaystyle\int b^2dx+\displaystyle\int 2abxdx$$
$$=a^2\cdot \dfrac{x^3}{3}+b^2x+\dfrac{2abx^2}{2}+c$$
$$=\dfrac{x^3a^2}{3}+b^2x+abx^2+c$$.
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Subjective Medium Published on 17th 09, 2020
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