Question

Use as regras de integração para encontrar a integral indefinida:

Answer 1

1)
$\int\ 3t^{-7} \, dt = 3 * \int\ t^{-7} \, dt = 3 * \frac{-t^{-6}}{6} + C = \frac{-t^{-6}}{2} + C$

2)
$\int\ 2u^{3/4} \, du = 2 * \int\ u^{3/4} \, du = 2 * \frac{4 * u^{7/4}}{7} + C = 8*\frac{u^{7/4}}{7} + C$

3)

$\int\ \frac{1}{3x^{1/2}} \, dx = \frac{1}{3} * \int\ x^{-1/2} \, dx = \frac{1}{3} * 2 *x^{1/2}} + C = \frac{2}{3} * x^{1/2}} + C$

4)


$\int\ t^e -e^t \, dt= \int\ t^e \,dt - \int\ e^t \,dt = \frac{t^{e+1}}{e+1} - e^t + C$