2 quick area questions: areas between curves

G

Guest

Guest
(1) Write the formula for the function f(r), where f(r) represents the area under the curve y = 1/(x^5 + x^2) and above the curve y = -x^3 - 7 from 0 to r.

Is that just S (from 0 to r) 1/(x^5 + x^2) + x^3 + 7 dx ?

(2) What integral represents the area under the curve y = x^2 + cos(x) and above the x-axis from 0 to 2 pi ?

Is that just S (from 0 to 2 pi) x^2 + cos(x) dx?

Thank you.
 
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