I'm trying to integrate sqrt(2x), from 0 to 2. I keep calculating 5.33? The correct answer is 2.667!! I'm taking Calc III and I know I'm forgetting something!!
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sqrt(2x) * dx =>
sqrt(2) * x^(1/2) * dx
Integrate
sqrt(2) * (2/3) * x^(3/2) + C
From 0 to 2
(2/3) * sqrt(2) * 2^(3/2) =>
2 * 2^(3/2) * 2^(1/2) / 3 =>
2 * 2^2 / 3 =>
2 * 4 / 3 =>
8/3 =>
2.66666666
sqrt(2) * x^(1/2) * dx
Integrate
sqrt(2) * (2/3) * x^(3/2) + C
From 0 to 2
(2/3) * sqrt(2) * 2^(3/2) =>
2 * 2^(3/2) * 2^(1/2) / 3 =>
2 * 2^2 / 3 =>
2 * 4 / 3 =>
8/3 =>
2.66666666