Evaluate the iterated integral. \int_{0}^{2}\int_{0}^{6x^{2}}x^{3}dy dx

remolatg 2021-10-29 Answered
Evaluate the iterated integral.
0206x2x3dydx
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Expert Answer

yunitsiL
Answered 2021-10-30 Author has 108 answers
Step 1
To evaluate the integral: 0206x2x3dydx
0206x2x3dydx=02x3[06x2dy]dx
=02x3[y]06x2dx
=02x3[6x2]dx
=602x5dx
=6[x66]02
=6[2660]
=26
=64
Step 2
Hence, required answer is 64.
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