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Triple integral

26 practice questionsIntegral CalculusStep-by-step solutions

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1

Evaluate ∫0a∫0x∫0yxyz dz dy dx\int_0^{a}\int_0^{x}\int_0^{y} xyz\,dz\,dy\,dx

A.6a46a^4
B.a648\frac{a^6}{48}
C.00
D.aa
E.None
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2

Evaluate ∫24∫12∫04xy(z+2) dx dy dz\displaystyle\int_2^4\int_1^2\int_0^4 xy(z+2)\,dx\,dy\,dz.

A.120120
B.6060
C.240240
D.9696
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3

Evaluate ∫01dz∫12dx∫0x(x+y+z) dy\displaystyle\int_0^1 dz\int_1^2 dx\int_0^x (x+y+z)\,dy.

A.174\dfrac{17}{4}
B.172\dfrac{17}{2}
C.74\dfrac{7}{4}
D.194\dfrac{19}{4}
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