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Calculus question help!!!?
If the function f is defined by f(x)= squarerootx^3+2 and g is an antiderivative of f such that g(3)=5, then g(1)=
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- JuventusLv 47 years ago
g is antiderivate of f ---> integral of f(x) dx = g(x) + C
Let I = integral of f(x) from 1 to 3
Thus, I = g(3) - g(1)
Solve for g(1)
g(1) = g(3) - I = 5 - I
Using your calculator to calculate I, I = 6.58458
Thus, g(1) = 5 - 6.58458 = -1.58458
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