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Find the following product ^5 square root 4x^2* ^5 square root 4x^2? 12. Find the most general antiderivative for the following function: f(x)= (sqrt(x)-xsqrt(e^x)+5)/(2x) 2. The number for which you want the square root. Rewrite the square root of the product \sqrt{5\times 3} as the product of square roots \sqrt{5}\sqrt{3}. Mathematics. What's this part on the wing of BAE Systems Avro 146-RJ100? Answers Mine. Integral of (dx)/(x^5 sqrt(4x^2 - 1)) from (srqt(2))/2 to 1. $L(x,y)=-\frac{2}{3}\left(4x^2+xy\right)^{3/2}$, $\frac{\partial L}{\partial y}=-x\sqrt{4x^2+xy}$, $$\begin{align} Solve your math problems using our free math solver with step-by-step solutions. Evaluate the integral from -2 to 8 of f(x)dx. I am a __________ 4.I am a quadrilateral with two different sets of opposite sides that are congruent, opposite angles that are congruent and my opposite sides are parallel. It only takes a minute to sign up. Estimating an n th Root. What is the following product? b1 = 12 cm b2 = 16 cm h = 9 cm. \end{equation}, \begin{equation} Mike wants to make meatloaf. What is the algebraic expression for the following word phrase: the sum of 3 and 4x? y=\pm 2x\sqrt{1-\frac{x^2}{a^2}} Sara knows that at least 4 of her friends want wings. \end{align}$$ 54π cubic feet B. Mathematics. $$\begin{align} 3. Asked By adminstaff @ 20/11/2019 02:17 PM. 1 Answer Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. How Do I Control the Onboard LEDs of My Arduino Nano 33 BLE Sense? We can rewrite the denominator using a property of exponentials that states a^(m/n)=root(n)(a^m): f(x)=x/(7-3x)^(1/2) Also, another law of exponentials states that a^-n=1/a^n. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Answer to: Evaluate the integral. Let f(x)= {sqrt(4-x^2)-5 if -2 0. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. Find the product of {eq}-4x^2 {/eq} and {eq}x^3 + 2x^2 - 5x + 3 {/eq}. TutorsOnSpot.com. If g(x) = x3 - 5 and h(x) = 2x - 2, then h(g(-2))= ? Find the required measurements of the following trapezoids. Click here to get an answer to your question ️ What is the following product? #color(brown)(x=(-b+-sqrt(b^2-4ac))/(2a)# Note: #aandb# are the coefficients of #x^2and x# and #c# is the constant number So, #color(purple)(a=4,b=-8,c=1# Calculus Limits Limits at Infinity and Horizontal Asymptotes. 3 =2.1(5.3) a. √ 1 81 = 1/9 14. ^3√24a^10b^6 3a^3b^2^3√2a 2a^3b^3√2a 2a^3b^2^3√3a none of these 3. Why Does the Ukulele Have a Reputation as an Easy Instrument? If I understand right, $a$ is a fixed parameter. Por lo pronto vamos a valuar la siguiente integral: $$\int_{0}^{a}(4x^2+2x^2\sqrt{1-\frac{x^2}{a^2}})^{3/2}$$, consideremos el siguiente cambio de variable $x=acos(t)$ implica que $dx=-asin(t)$ y además cuando $x \to a$ , $t \to 0$ y también $x\to 0$ implica $t \to \pi/2$ remplazando en nuestra integral y simplificando nuestro integrando tenemos: $$2\sqrt{2}\int_{\pi/2}^{0} (a^3cos^3(t)(2+sin(t))(2+sin(t)){(1/2})(-asin(t)dt$$ $$-2\sqrt{2}a^4\int_{\pi/2}^{0}cos^2(t)sin(t)(2+sin(t))^{3/2}cos(t)dt$$ cambiando el orden de integración $$2\sqrt{2}a^4\int_{0}^{\pi/2}cos^2(t)sin(t)(2+sin(t))^{3/2}cos(t)dt$$ , sea $l=2+sin(t)$ entonces $dl=cos(t)dt$ y además cuando $t \to 0$ , $l \to 2$ y cuando $t \to \pi/2$, $l\to 3$ transformando nuestra integral ahora obtenemos $$2\sqrt{2}a^4\int_{2}^{3}(1-(l-2)^2)(l-2)(l^{3/2})dl$$ haceindo las operaciones algebráicas $$2\sqrt{2}a^4\int_{2}^{3} 6l^{3/2}-11l^{5/2}+6l^{7/2}-l^{9/2} dl$$ haciendo la evaluación de la integral $$2\sqrt{2}a^4[\frac{216}{385}\sqrt{3}+\frac{32}{1155} \sqrt{2}]$$ simplificando la expresión $$2\sqrt{2}a^4[\frac{8}{1155}(4\sqrt{2}+81 \sqrt{3})]$$ finalmente queda $$[\frac{16\sqrt{2}a^4}{1155}(4\sqrt{2}+81 \sqrt{3})]$$ ahora vamos a resolver la segunda intgral que es más sencilla $$\int{0}^{a} 8x^3dx$$ esta integral es muy inmediata, por lo que queda $$8 \int_{0}^{a}x^3$$ de esto $$8[\frac{1}{4}x^{4}|_{0}^{a}]=2a^4$$ juntando ambas partes y calculando la resta $$\int_{0}^{a} \int_{- 2x\sqrt{1-\frac{x^2}{a^2}}}^{2x\sqrt{1-\frac{x^2}{a^2}}}x \sqrt{4x^2+xy} dy dx= \frac{4}{3}a^4([\frac{16\sqrt{2}}{1155}(4\sqrt{2}+81 \sqrt{3})]-2)$$.\. , but he hit man free antiderivative calculator - solve integrals with all the steps is substitution. 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