Pression Evaluate the expression -0.4(3x - 2) + 2 + 4 for x=4
1 answer:
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By the divergence theorem, the surface integral taken over
is equivalent to the triple integral of the divergence of
We have
The latter integral is then given by
Answer:
A)
B)
Step-by-step explanation:
A)
So we have the integral:
First, remove the constant multiple:
Use the power rule, where:
Therefore:
Simplify:
And multiply:
And, finally, plus C:
B)
We have the integral:
To solve, we can use u-substitute.
Let u equal 5-x. Then:
So:
Move the negative outside:
Power rule:
Add:
Substitute back 5-x:
Constant of integration:
And we're done!