Chapter 5: Q7E (page 308)
If f and g are continuous\(f(x) \ge g(x)\)and \(a \le x \le b\)for, then.
The answer is TRUE.
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Calculate the area of the region that lies under the curve and above the x-axis.
\({\rm{y = 1 - }}{{\rm{x}}^{\rm{2}}}\)
Find the derivative of function \(y\) using the Part 1 of the Fundamental Theorem of Calculus.
\(y = \int_{\sin x}^1 {\sqrt {1 + {t^2}} } dt\)
Find the derivative of the function \({g^\prime }(x)\) by the Fundamental Theorem method.
\(g(x) = \int_{2x}^{3x} {\frac{{{u^2} - 1}}{{{u^2} + 1}}} du\)
To sketch the rough graph of \(g\).
Find the average value of the function \(f(\theta ) = \sec \theta \tan \theta \) in the interval \(\left( {0,\frac{\pi }{4}} \right)\).
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