integral de 1 a 2 de 4x^3-9x^2y^2

Solución

\int_{1}^{2} 4 x^{3} - 9 x^{2} y^{2} d y

4 x^{3} - 21 x^{2}

Pasos de solución

\int_{1}^{2} 4 x^{3} - 9 x^{2} y^{2} d y

Aplicar la regla de la suma:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{2} 4 x^{3} d y - \int_{1}^{2} 9 x^{2} y^{2} d y

\int_{1}^{2} 4 x^{3} d y = 4 x^{3}

\int_{1}^{2} 9 x^{2} y^{2} d y = 21 x^{2}

= 4 x^{3} - 21 x^{2}

\int_{e}^{e^{3}} \frac{1}{x} d x

\int_{0}^{\infty} 5 e^{- 3 x} d x

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\int_{0}^{12} 9800 \cdot 9 π \cdot (12 - x) d x