2010008107 | math4u.vsb.cz

SubArea:

Primitive function

Level:

Project ID:

2010008107

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

Evaluate the following integral on the interval

(0; + \infty)

.

\int (x \sqrt{x} + x \cos x - x e^{x}) d x

\frac{2}{5} x^{2} \sqrt{x} + x \sin x + \cos x - x e^{x} + e^{x} + c; c \in R

\frac{x^{2}}{2} (\frac{2}{3} x^{\frac{3}{2}} + \sin x - e^{x}) + c; c \in R

\frac{2}{5} x^{2} \sqrt{x} + x \sin x - \cos x - x e^{x} + e^{x} + c; c \in R

\frac{2}{5} x^{2} \sqrt{x} + x \sin x + \cos x - x e^{x} - e^{x} + c; c \in R