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horrorfan [7]
3 years ago
14

Find f. (antiderivative) . f '(t) = 4 cos (t) + sec^2(t), −π/2 < t < π/2, f(π/3) = 3

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0
The antiderivative of the function f '(t) = 4 cos (t) + sec^2(t) is determined by applying integral calculus. The antiderivative of 4 cos (t) is -4 sin(t) while the antiderivative of <span>sec^2(t) is tan (t). The total term is -4 sin(t) + tan (t). We try to replace pi/3 and the answer is 3.</span>
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