# Recent questions tagged integral

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Differentiate $k(t)=\frac{(t+2)^{3}}{\sqrt{t}}$ with respect to $t$
Differentiate $k(t)=\frac{(t+2)^{3}}{\sqrt{t}}$ with respect to $t$Differentiate $k(t)=\dfrac{(t+2)^{3}}{\sqrt{t}}$ with respect to $t$ ...
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Differentiate $g(t)=4(t+1)^{2}(t-3)$ with respect to $t$
Differentiate $g(t)=4(t+1)^{2}(t-3)$ with respect to $t$Differentiate &nbsp;$g(t)=4(t+1)^{2}(t-3)$ with respect to $t$ ...
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Differentiate the function $y=3 x^{5}$
Differentiate the function $y=3 x^{5}$Differentiate the function $y=3 x^{5}$ ...
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$$\text { Consider the system } A X=B, \text { where } X=\left[\begin{array}{l} x \\ y \\ z \end{array}\right] \text {. }$$
$$\text { Consider the system } A X=B, \text { where } X=\left[\begin{array}{l} x \\ y \\ z \end{array}\right] \text {. }$$ \begin{aligned} &amp;\text { Consider the system } A X=B \text {, where } X=\left\begin{array}{l} x \\ y \\ z \end{array}\right \te ...
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Which FIVE of the following statements are FALSE ?
Which FIVE of the following statements are FALSE ?Which FIVE of the following statements are FALSE ? &nbsp; A. The sequence $\left\{\frac{\cos (n \pi)}{n}\right\}$ diverges &nbsp; B. $\quad \cos \ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Which FIVE of the following statements are TRUE? 0 answers 3 views Which FIVE of the following statements are TRUE?Which FIVE of the following statements are TRUE? &nbsp; A. The series$\sum_{n=1}^{\infty}\left(\frac{4 n-3}{3 n-4}\right)^{n}$converges &nbsp; B ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the most suitable substitution to use to solve the integral$\int \frac{1}{\sqrt{t^{2}-81}} d t ?$0 answers 3 views What is the most suitable substitution to use to solve the integral$\int \frac{1}{\sqrt{t^{2}-81}} d t ?$What is the most suitable substitution to use to solve the integral$\int \frac{1}{\sqrt{t^{2}-81}} d t ?$&nbsp; A)$t=9 \sec \theta$. &nbsp; B) ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The derivative with respect to$x$of$\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$is 0 answers 6 views The derivative with respect to$x$of$\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$isThe derivative with respect to$x$of$\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$is &nbsp; A)$e^{x^{2}} \operatorname{cosec}( ...
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Which test for convergence would you use on the series $\sum_{n=1}^{\infty} \dfrac{(-\cos (n \pi))^{n} n !}{n^{3 n}} ?$
Which test for convergence would you use on the series $\sum_{n=1}^{\infty} \dfrac{(-\cos (n \pi))^{n} n !}{n^{3 n}} ?$Which test for convergence would you use on the series $\sum_{n=1}^{\infty} \dfrac{(-\cos (n \pi))^{n} n !}{n^{3 n}} ?$ A) The Alternating Series Tes ...
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Explain when an integral is called improper.
Explain when an integral is called improper.Explain when an integral is called improper. ...
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Given that $\int_{-\infty}^{\infty} \frac{e^{x}}{e^{2 x}-e^{-2 x}} d x$ is an improper integral, its convergence and its value can be found by considering
Given that $\int_{-\infty}^{\infty} \frac{e^{x}}{e^{2 x}-e^{-2 x}} d x$ is an improper integral, its convergence and its value can be found by consideringGiven that $\int_{-\infty}^{\infty} \frac{e^{x}}{e^{2 x}-e^{-2 x}} d x$ is an improper integral, its convergence and its value can be found by conside ...
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What is the Gaussian integral?
What is the Gaussian integral?What is the Gaussian integral? ...
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What is the integral definition of the exponential function?
What is the integral definition of the exponential function?What is the integral definition of the exponential function? ...
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Simplify $\dfrac{7 !}{\left(\begin{array}{l}5 \\ 3\end{array}\right) 4 !\left(\begin{array}{l}3 \\ 2\end{array}\right)}$
Simplify $\dfrac{7 !}{\left(\begin{array}{l}5 \\ 3\end{array}\right) 4 !\left(\begin{array}{l}3 \\ 2\end{array}\right)}$Simplify $\dfrac{7 !}{\left(\begin{array}{l}5 \\ 3\end{array}\right) 4 !\left(\begin{array}{l}3 \\ 2\end{array}\right)}$ ...
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WHat is the formal definition of the derivative of a function $f(x)$?
WHat is the formal definition of the derivative of a function $f(x)$?WHat is the formal definition of the derivative of a function $f(x)$? ...
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What is the definition of a limit of a function $f(x)$?
What is the definition of a limit of a function $f(x)$?What is the definition of a limit of a function $f(x)$? ...
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Evaluate the following indefinite integral
Evaluate the following indefinite integralEvaluate the following integral $\int\left( \frac{8x^3+x^2}{x^2} \right)dx$ ...
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What is a multidimensional Gaussian integral?
What is a multidimensional Gaussian integral?What is a multidimensional Gaussian integral? ...
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What is the domain of the linear function $y=2 x-5$ if the range is $(9 ; 7]$ ?
What is the domain of the linear function $y=2 x-5$ if the range is $(9 ; 7]$ ?What is the domain of the linear function $y=2 x-5$ if the range is $(9 ; 7$ ? ...
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What is the range of the linear function $f(x)=-1$ for the domain $[-10 ; 10] ?$
What is the range of the linear function $f(x)=-1$ for the domain $[-10 ; 10] ?$What is the range of the linear function $f(x)=-1$ &nbsp;for the domain $-10 ; 10 ?$ ...
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Differentiate $\frac{5 x^{3}+x^{2}}{x}, x \neq 0$ with respect to $x$
Differentiate $\frac{5 x^{3}+x^{2}}{x}, x \neq 0$ with respect to $x$Differentiate $\frac{5 x^{3}+x^{2}}{x}, x \neq 0$ with respect to $x$ A. $10 x+1$ B. $10 x+2$ C. $x(15 x+1)$ D. $x(15 x+2)$ ...
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If $\left(\begin{array}{ll}2 & 1 \\ 4 & 3\end{array}\right)\left(\begin{array}{l}5 \\ 4\end{array}\right)=\mathrm{k}\left(\begin{array}{l}17.5 \\ 40.0\end{array}\right)$, find the value of $\mathrm{k}$If $\left(\begin{array}{ll}2 &amp; 1 \\ 4 &amp; 3\end{array}\right)\left(\begin{array}{l}5 \\ 4\end{array}\right)=\mathrm{k}\left(\begin{array}{l}17. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that \(f(x)=\frac{x+1}{2}$, find $f^{1}(-2)$
Given that $f(x)=\frac{x+1}{2}$, find $f^{1}(-2)$Given that $f(x)=\frac{x+1}{2}$, find $f^{1}(-2)$ A. $-5$ B. $-3$ C. $-\frac{1}{2}$ D. 5 ...
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Evaluate $\int \dfrac{1}{16+x^{2}} d x$
Evaluate $\int \dfrac{1}{16+x^{2}} d x$Evaluate $\int \dfrac{1}{16+x^{2}} d x$ ...
Evaluate $\int \cos ^{3} x d x$
Evaluate $\int \cos ^{3} x d x$Evaluate $\int \cos ^{3} x d x$ ...