O a2 x2 b calcular la primitiva dx x2 p3 a calcule dx

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Unformatted text preview: de In . o √ a2 − x2 (b) Calcular la primitiva dx. x2 P3. (a) Calcule dx . x(ln(x) + ln2 (x)) (b) Usando el cambio de variables tan( x ) = u, calcule 2 (c) Sean I = cos(ln(x))dx y J = cos(x) dx. 1 + cos(x) sen(ln(x))dx. Usando integraci´n o por partes, plantee un sistema lineal que permita calcular I y J . Calcule I y J. P4. (a) Calcule 5x2 + 12x + 1 dx. x3 + 3x2 − 4 (b) Deducir una f´rmula de recurrencia para Im,n = o la f´rmula para calcular o P5. (a) Calcule x (1 + x2 )(1 + x) x2 ln x. dx. (b) Calcular sin(x) . 1 + sin(x) + cos(x) (c) Calcular arcsen x . 1+x 65 xm (ln(x))n dx. Use...
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