Calculate the iterated integral. \int_{1}^{4}\int_{0}^{2}(6xy^{2}-2x)dy dx

Aneeka Hunt

Aneeka Hunt

Answered question

2021-11-07

Calculate the iterated integral.
1402(6xy22x)dydx

Answer & Explanation

Alara Mccarthy

Alara Mccarthy

Skilled2021-11-08Added 85 answers

Step 1
the function given to us is
1402(6xy22x)dydx
Step 2
first, we will integrate w.r.t y we get
14[6xy332xy]02dx
14[6x832x(2)0]dx
1416x34xdx
1416x12x3dx
144x3dx
Step 3
now, we will integrate w.r.t x we get
144x3dx
=[4x23.2]14
=46(161)
=10
hence the value of 1402(6xy22x)dydx=10

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