Answer to: Evaluate the indefinite integral. Integral of sinh^2 x cosh x dx. By signing up, you'll get thousands of step-by-step solutions to your...
Evaluate the integral: integral 2x + 6 dx / x^2 + 4x + 13. Evaluate the integral: integral x + 2/x + 1 dx Evaluate the integral: integral of 3*tan^3(x)sec^3(x) dx. Evaluate the integral: integral (x^2-9x+5) dx Evaluate the integral: integral cosh^4 x sinh^3 ...
Further questions: Is it possible to generalize it and find a closed form of A(a)=∫∞0tanh(x)tanh(ax)x2dx, or at least of a particular case with a=2? Can we generalize it to higher powers B(n)=∫∞0(tanh(x)x)ndx? Thanks to nospoon's comment below, we know that B(3)=...
In a previous answer I used a rectangular contour to show that ∫∞0xsinh(x)cos(2a)+cosh(2x)dx=π4asin(a),−π2<ℜ(a)<π2. (The value of the integral at a=0 is lima→0π4asin(a)=π4.) Differentiating both sides of the equation with respect to a...
Answer to: Evaluate the following definite integral. integral_1^2 1 / {x^3 + 5 x^2 + 6 x} dx By signing up, you'll get thousands of step-by-step...
Answer to: Compute the integral. \int \frac {x^4dx}{(1 - x)^3} By signing up, you'll get thousands of step-by-step solutions to your homework...
the Langmuir kernel. The regularization parameters are chosen as zeros or minimizers of simple functions depending on the mean absolute error of a transformed total isotherm. In difference to many other solutions proposed, an explicit error and convergence analysis is made. Additionally, we consider ...
The list of basic integral formulas are ∫ 1 dx = x + C ∫ a dx = ax+ C ∫ xndx = ((xn+1)/(n+1))+C ; n≠1 ∫ sin x dx = – cos x + C ∫ cos x dx = sin x + C ∫ sec2x dx = tan x + C ∫ csc2x dx = -cot x + C ...
Using quenches of the mass and interaction in Sinh-Gordon theory as a concrete example, we present theoretical arguments that the state has the squeezed coherent form expected for integrable quenches, and supporting an Ansatz for the solution of the hierarchy. Moreover we also develop an ...
Evaluate by integration by parts integral sin x sinh x dx. Integrate using u-substitutions. A. \int \sqrt [3] {\sin x} \cos x dx B. \int (7 \tan x + 8)^3 sec^2 x dx C. \int \frac {e^{5x{e^{5x} + 3} dx Integrate using trigonometric substitution. \int x(\sqrt{25...