Quiz about Repaso N°3(Calculo 1 - Hito 4)

Question 1

Resolver la siguiente integral:

$$\int_{ }^{ }\left(x^2+1000\right)^2\cdot2x\ dx$$

Accepted Answer

$$\frac{\left(x^2+1\right)^3}{3}+C$$

Answer

$$\frac{\left(x^2+1\right)^3}{2}+C$$

Answer

$$\frac{\left(u\right)^3}{3}+C$$

Answer

$$\frac{3\left(x^2+1\right)^3}{3}+C$$

Question 2

Resolver la siguiente integral:

$$\int_{ }^{ }\ \frac{1}{x\ Inx}dx$$

Accepted Answer

In(Inx) + C

Answer

In(In u) + C

Answer

log x + C

Answer

In u + C

Question 3

Resolver la siguiente integral:

$$\int_{ }^{ }\ e^{x^2-5x}\left(2x-5\right)\ dx$$

Accepted Answer

$$e^{x^2-5x}+C$$

Answer

$$e^u+C$$

Answer

$$e^{x^2-5x}$$

Answer

1

Question 4

Resolver la siguiente integral:

$$\int_{ }^{ }\ \frac{t^2}{\sqrt[3]{t^3+8}}dt$$

Accepted Answer

$$\frac{3}{4}\left(t^3+8\right)^{\frac{2}{3}}+C$$

Answer

$$\frac{3}{4}\left(t^3+8\right)^{\frac{2}{3}}+C$$

Answer

$$\frac{9}{4}\left(t^3+8\right)^{\frac{2}{3}}+C$$

Answer

$$\frac{3}{2}\left(t^3+8\right)^{\frac{2}{3}}+C$$

Similar Resources on Wayground