If f(x) = integral e^x dx and f (0) = 2, then what is f(2)? a) e^2. b) e^2 - 1. c) e^2 + 1. d) e + 2. What is the Integral of tan^5(x) dx? If integral_{-60}^{-30} f (x) dx = 15 and integral_{-60}^{-39} g (x) dx = 28 and integral_{-60...
Question: Evaluate the trigonometric powers integral {eq}\int \tan^5 x .\sec^3 x dx {/eq} Integration Techniques: There are various integration techniques that we can utilize in order to acquire the antiderivative of an expression. One method that we can deploy is simplifying the ...
By the Sum Rule, the derivative of with respect to is . Step 5.1.3 Evaluate . Tap for more steps... Step 5.1.3.1 Since is constant with respect to , the derivative of with respect to is . Step 5.1.3.2 Differentiate using the Power Rule which states that is where . Step 5.1.3.3 ...
-(x*log(sin(2*x)^2+cos(2*x)^2+2*cos(2*x)+1)+2*%i*x*atan2(sin(2*x),cos(2*x)+1)-%i*li[2](-%e^(2*%i*x))-%i*x^2)/2+C To compute the integral of the expressionxtan(x)with respect tox, follow these steps: ...
Find the integral of tan^9(x) sec^4(x) dx. Find the integral of x sin^3(x^2) dx. Find the integral of (x + 3)(x - 4) dx. Find the integral.\\int 19 \cos x dx Find integral (x^4 - 2 / 3 x^2 - 8) dx.
the functionGfactors in the product of a kernelKand a generally nonlinear functionFasG(y, t, s) = K(t, s)F(y). HereKis matrix valued, and it carries the dependence on time (bothtands), whereasFdepends only on the indeterminate functiony. Therefore, the form of this IE...
(Use {eq}C {/eq} for the constant of integration.) {eq}\int \tan^5(4x) \sec^4(4x) \, \mathrm{d}x {/eq} Integration by Substitution: You need to use trigonometric identities to simplify the integrand. Then use a substitution to introduce a new variable ...
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8.19). Remember that quantities generally vary with x (i.e., along the surface), so it follows from elementary differential calculus that the value of a quantity f, say, on CD (where the distance from the origin is x + δx) is related to its value on AB (where the distance from ...
In addition, some results on discrete-time PID controller design via the assignment of two dominant eigenvalues were provided in Wang, Liu, Yu, Tan, and Zhang (2017) based on the discrete-time and the continuous-time types of Hermite–Biehler Theorems. Compared with the result in Dincel and...