Tutorial ExerciseEvaluate the definite integral using the Fundamental Theorem of Calculus.T/4(8 sin(x) + 2 cos(2x)) dxStep 1 of 3Recall The Fundamental Theorem of Calculus.Let F(x) be any antiderivative of f(x). If f(x) is continuouson [a, b], thenf(x) dx = F(b) - F(a)T/4In order to use the Fundamental Theorem of Calculus to evaluate(8 sin(x) + 2 cos(2x)) dx, we mustcheck that the integrand is continuous on the interval 0,Since the integrand, 8 sin(x) + 2 cos(2x), is a sum of the sine and cosine functions, it ---Select---continuous for all real numbers. Therefore it --Select---continuous on the interval0,4SubmitSkip (you cannot come back)

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Calculus

Evaluate the definite integral using the Fundamental Theorem of Calculus. 7/4 (8 sin(x) + 2 cos(2x)) dx

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 2E

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Tutorial Exercise
Evaluate the definite integral using the Fundamental Theorem of Calculus.
T/4
(8 sin(x) + 2 cos(2x)) dx
Step 1 of 3
Recall The Fundamental Theorem of Calculus.
Let F(x) be any antiderivative of f(x). If f(x) is continuous
on [a, b], then
f(x) dx = F(b) - F(a)
T/4
In order to use the Fundamental Theorem of Calculus to evaluate
(8 sin(x) + 2 cos(2x)) dx, we must
check that the integrand is continuous on the interval 0,
Since the integrand, 8 sin(x) + 2 cos(2x), is a sum of the sine and cosine functions, it ---Select---
continuous for all real numbers. Therefore it --Select---
continuous on the interval
0,
4
Submit
Skip (you cannot come back)

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