La integral \( \int(2 x+3)\left(x^{2}+3 x\right) d x \), puede ser resuelta haciendo la sustitución \( u=2 x+3 \), porque la integral términos de \( u \) resulta ser \( \int u d u \). Seleccione una: Verdadero Falso

3.2. \( \int \ln 3 x d x \)

(c) \( \int_{6}^{0}(2+5 x) e^{\frac{1}{3} x} d x \)

June 2018 ZIMSEC Paper 1 Solve the equations: \( e^{2 x}=4 e^{2-x} \) giving the answer in exact form. November 2010 ZIMSEC Paper 1

Calcule a integral definida \( \int_{0}^{3} (2x^2 + 4) \, dx \).

Residues at Poles = Proof the Theorem Assume \( f(z) \) has the following form \[ f(z)=\frac{\phi(z)}{\left(z-z_{0}\right)^{m}} \] where \( \varphi(\mathrm{z}) \) is analytic and nonzero at \( \mathrm{z}_{0} \), then it has Taylor series representation