Please solve the following triple integral and report (a) an exact value, and (b
ID: 1887794 • Letter: P
Question
Please solve the following triple integral and report (a) an exact value, and (b) an approximate value to 3 decimal places.Thanks!
[
int _ {-2}^2int _ {x^2}^4int _ 0^{4 - y} 1 dz dy dx
]
int _ {-2}^2int _ {x^2}^4int _ 0^{4 - y} 1 dz dy dx
<math xmlns='http://www.w3.org/1998/Math/MathML'
mathematica:form='StandardForm'
xmlns:mathematica='http://www.wolfram.com/XML/'>
<mrow>
<msubsup>
<mo>∫</mo>
<mrow>
<mo>-</mo>
<mn>2</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mrow>
<msubsup>
<mo>∫</mo>
<msup>
<mi>x</mi>
<mn>2</mn>
</msup>
<mn>4</mn>
</msubsup>
<mrow>
<msubsup>
<mo>∫</mo>
<mn>0</mn>
<mrow>
<mn>4</mn>
<mo>-</mo>
<mi>y</mi>
</mrow>
</msubsup>
<mrow>
<mn>1</mn>
<mo>⁢</mo>
<mrow>
<mo>ⅆ</mo>
<mi>z</mi>
</mrow>
<mo>⁢</mo>
<mrow>
<mo>ⅆ</mo>
<mi>y</mi>
</mrow>
<mo>⁢</mo>
<mrow>
<mo>ⅆ</mo>
<mi>x</mi>
</mrow>
</mrow>
</mrow>
</mrow>
</mrow>
</math>
Explanation / Answer
256/15 = approx. 17.067