Find the integral of ∫5sec(5x)tan(5x)dx. Integration: In this problem, we have to evaluate the given integral. Integration is a method of finding a function whose derivative is equal to the given function. Types: Definite Integral: Integral with both limits of integration. In...
Since secant and tangent both have odd powers, it might be wise to reserve one of each for the derivative of secant and convert everything else to secant. Answer and Explanation:1 Rewrite the integral. {eq}\displaystyle \int \tan^5 x \sec^5 x \, dx \\ = \displaystyle \int \tan^...
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-(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: ...
Calculate the Integral of … CLR+–×÷^√f(x)π() √3√4√n√ You can also input: •sqrt(…) •root(n, …) lnlog10lognexpexabs|x| sincostancscseccot arcsinsin-1arccoscos-1arctantan-1 arccsccsc-1arcsecsec-1arccotcot-1 ...
(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 ...
Answer to: Evaluate the integral \int (\tan x\sec^5 x - \tan^5 x \sec x)\,dx By signing up, you'll get thousands of step-by-step solutions to...
Using a similar technique, the S⊥ and κf,⊥ of 3 μm thick ErAs:InGaAs/InGaAlAs SL films deposited on InP substrates were determined [114]. Using the DC method, the S⊥ (from 50 K to 300 K) of n-type InGaAs (5 nm)/InAlAs (3 nm) SLs with varying doping densities has been ...
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...
where, with some spectral parameterand measuresdWanddRassociated with non-decreasing functionsW(x) andR(x) on an interval [0,b), see [5]. Integral systems (1.1) arise in the theory of diffusion processes with two measures [35,38]. In the theory of stochastic processes the Eq. (1.3) ...