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WZ

# Evaluate the integral.$\displaystyle \int_0^1 \frac{r^3}{\sqrt{4 + r^2}} dr$

## $\int_{0}^{1} \frac{r^{3}}{\sqrt{4+r^{2}}} d r=\frac{16-7 \sqrt{5}}{3}$

#### Topics

Integration Techniques

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

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### Video Transcript

The problem is water is integral integral from zero to Juan I just three over Curative war plus squared yaar. But this problem we can use news of institution like you is equal to or us are square. Then do you see for two to r You are now this interview is he talked you into hero around for two one half you minus or you over you, Teo. You This is echo two into your front or too far. One half youto heart You minus the integral from or too far warm over. Great. If you you the first term. This's any ho too. One half ham's one to third. Have you two three homer to from four to five. And second term, this is or hams too. Hams. You two were half from four to five. Now we're plugging thiss two numbers. Just you. You. Then we have this one third five two three over to mine for two three, four two minus truth hams. Five to one half money or two. One half. This is he Put one third hams off, father minus or terms choose this aid last two times off. Mine too. This's not Choose right, It hunter is five over. Three, minus eight. Arms, five minus. It ain't over. Three Class sixteen says he caught you negative. Nineteen dollars. Regenerative Wow, Class forty O R three.

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#### Topics

Integration Techniques

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp