Calculus
posted by John .
Evaluate \displaystyle \int_1^{10} \left(\sqrt{x} + 1\right)^3 dx  \int_1^{10} \left(\sqrt{x}  1\right)^3 dx .

Hint:
For x > 0, you have
(sqrt(x) + 1)^3  (sqrt(x)  1)^3 =
6 x + 2
posted by John .
Evaluate \displaystyle \int_1^{10} \left(\sqrt{x} + 1\right)^3 dx  \int_1^{10} \left(\sqrt{x}  1\right)^3 dx .
Hint:
For x > 0, you have
(sqrt(x) + 1)^3  (sqrt(x)  1)^3 =
6 x + 2