Derivadas de integrales
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This document contains mathematical integrals expressed in LaTeX format. It shows the setup and solving of four integrals: the integral of 1/(1-x^2), the integral of x^2*x^(i-1), the integral of x^4/x^5-3, and the integral of (x^(i-1))^(1/2). Each integral is set up, the substitution or technique used to solve it is identified, and the final solution with the +C term is provided.
Derivadas de integrales
- 1. ¡Òxdx/(1-x?)= -?¡Ò(1-x?)-?(-2)xdx V=1-x? DV=-2xdx ? = -? (1-x?)/1+c =?(1-x?)??4c
- 2. ¡Òx? x?-1dx ?¡Ò(x?-1)? 3x?dx V=x?-1 DV=3x?dx /= ? (x?-1)?'? 3/2+c =2/9=(x?-1)?¡¯?+c
- 3. ¡Òx?dx/x?-3= ?¡Ò(x?-3)??? 5x?dx= ?(x?-3) ?? +c = 2/5¡Ìx?-3+c