2010008106 | math4u.vsb.cz

SubArea:

Primitive function

Level:

Project ID:

2010008106

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

Evaluate the following integral on the interval

(0; + \infty)

.

\int (\frac{2}{x} + \frac{1}{x + 2} + \frac{x}{x^{2} + 1}) d x

2 \ln x + \ln (x + 2) + \frac{1}{2} \ln (x^{2} + 1) + c; c \in R

2 \ln x + \ln (x + 2) + \frac{1}{2} x^{2} \ln (x^{2} + 1) + c; c \in R

\frac{4}{x^{2}} + \frac{1}{\frac{1}{2} x^{2} + 2 x} + \frac{\frac{1}{2} x^{2}}{\frac{1}{3} x^{3} + x} + c; c \in R

2 \ln x + \ln (x + 2) + \frac{3 x}{2 (x^{2} + 3)} + c; c \in R