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If F(x) = the integral from 1 to ln x of √cos t dt, then F' (x) =?
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- cidyahLv 76 years ago
Let g(t) = √cos t
Let h(x) = x (upper limit of integration)
h'(x) = 1
F'(x) = g ( f(x) ) f'(x)
F'(x) = √cos x (1)
= √cos x
- 6 years ago
Teacher says the answer is( √cos(ln x))/x but we cannot get that answer. Could the teacher's answer be wrong?
- Randy PLv 76 years ago
If F(x) = the integral from a to g(x) of f(t) dt, then F'(x) = f(g(x)) * g'(x)
That's the Fundamental Theorem of Calculus. Replace with your functions.
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