Give the general antiderivative: S ( 3x² – ² + tan²x) dx + tan2x) dx Show the work in evaluating the definite integral: " t sin(t²) dt . An object moves along an axis and the position is measured in meters. function is v(t) = -2t + 1 for t >0. If at time t 2 the position is 4 meters in finding the position function denoted by s(t) 10. A function, y f(x), is continuous and differentiable on (-0, 00). It is knowr O an (-2 4)
Give the general antiderivative: S ( 3x² – ² + tan²x) dx + tan2x) dx Show the work in evaluating the definite integral: " t sin(t²) dt . An object moves along an axis and the position is measured in meters. function is v(t) = -2t + 1 for t >0. If at time t 2 the position is 4 meters in finding the position function denoted by s(t) 10. A function, y f(x), is continuous and differentiable on (-0, 00). It is knowr O an (-2 4)
Give the general antiderivative: S ( 3x² – ² + tan²x) dx + tan2x) dx Show the work in evaluating the definite integral: " t sin(t²) dt . An object moves along an axis and the position is measured in meters. function is v(t) = -2t + 1 for t >0. If at time t 2 the position is 4 meters in finding the position function denoted by s(t) 10. A function, y f(x), is continuous and differentiable on (-0, 00). It is knowr O an (-2 4)
(8) Show the work in evaluating the definite integral
Transcribed Image Text:Give the general antiderivative: /(3x² – + tan²x) dx
Show the work in evaluating the definite integral: t sin(t²) dt
9. An object moves along an axis and the position is measured in meters.
function is v(t) = -2t + 1 for t 20. If at time t= 2 the position is 4 meters
in finding the position function denoted by s(t)
10. A function, y f(x), is continuous and differentiable on (-0, 0). It is knowr
f'(x) >0 on (-2,4)
f'(x) <0 on (-00,-2) and on (4, 00)
Oi what x-yalue is there a relative (local) maximum value? If there is no rcla
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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