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Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals2 Marks
Question
Find the integral: $\int\left(a x^{2}+b x+c\right) d x$
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Answer

$\int\left(a x^{2}+b x+c\right) d x$
= $a \int x^{2} d x+b \int x d x+c \int 1 d x$
= $a\left(\frac{x^{3}}{3}\right)+b\left(\frac{x^{2}}{2}\right)+c x+c$
= $\frac{a x^{3}}{3}+\frac{b x^{2}}{2}+c x+C$

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