1003018710 | math4u.vsb.cz

SubArea:

Primitive function

Level:

Project ID:

1003018710

Accepted:

1

Clonable:

0

Easy:

0

Four children evaluated the following integral

I

on

(0; \infty)

. Who made a mistake?

I = \int (\frac{1}{8} \sqrt[8]{x^{3}} + \frac{1}{2} \sqrt{x^{9}} - \frac{1}{5} \sqrt[5]{x^{6}}) d x

Paul:

I = \frac{1}{11} (x^{3} \sqrt[8]{x} + x \sqrt{x^{5}} - x \sqrt[5]{x^{2}}) + c, c \in R

Jane:

I = \frac{1}{11} (x \sqrt[8]{x^{3}} + x^{5} \sqrt{x} - x^{2} \sqrt[5]{x} + c), c \in R

Ann:

I = \frac{1}{11} (x \sqrt[8]{x^{3}} + x^{5} \sqrt{x} - x^{2} \sqrt[5]{x}) + c, c \in R

Miky:

I = \frac{x}{11} \sqrt[8]{x^{3}} + \frac{x^{5}}{11} \sqrt{x} - \frac{x^{2}}{11} \sqrt[5]{x} + c, c \in R