Mathematics, 25.07.2019 20:30 KozzyKoz
Find the derivative of ∫(x²+2) dx with upper limit 6x² and lower limit 4
Answers: 1
![\bf \displaystyle F(x)=\int\limits_{4}^{u}(x^2+2)dx\implies f'(x)=\stackrel{\frac{dF}{dx}}{\left( \int\limits_{4}^{u}(x^2+2)dx \right)}( \stackrel{\frac{du}{dx}}{12x} ) \\\\\\ f'(x)=(u^2+2)12x\implies f'(x)=[(6x^2)^2+2]12x \\\\\\ f'(x)=(36x^4+2)12x\implies f'(x)=432x^5+24x](/tpl/images/0132/3610/ba963.png)
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Find the derivative of ∫(x²+2) dx with upper limit 6x² and lower limit 4...
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