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function to integrate: Variable 1: Variable 2: Also include:domains of integration for variables Compute More than just an online double integral solver Wolfram|Alpha is a great tool for calculating indefinite and definite double integrals. Compute volumes under surfaces, surface area and other types...
{eq}\displaystyle \int (\tan x) \left [ \ln(\cos x) \right] \ dx {/eq} Indefinite Integral: The indefinite integral involving the trigonometric expression is evaluated by using the substitution technique or by the direct integration using the trigonometric formulas, or the trigonometric...
Find the integral: integral of cos^2(2x) dx. Find the integral ; { \int \frac{sin(x) cos(x)}{sin^2(x)-4} dx } Find the integral of 5sec(x)tan(x) dx. Find integral 2 sin(x) dx. Find the integral. \int_0^1 (4 + 4x \sqrt x) dx Find the integral 5 x ln (7x)...
方法一: 令I=∫01tan−1(2+x2)(1+x2)2+x2dx 及 f(t)=∫01tan−1(t2+x2)(1+x2)2+x2dx 其中f(1)=I. ⇒f′(t)=∫01dx(1+x2)2+x2ddttan−1(t2+x2)=∫01dx(1+x2)2+x22+x21+(t2+x2)2=∫01dx(1+x2)(1+2t2+t2x2) ...
其中里面用到了关于 \displaystyle\ln \left( \tan x \right) 的傅里叶变换:\displaystyle\displaystyle\ln \left( \tan x \right)=-2\sum_{k=1}^{\infty}{x}\frac{\cos \left( 2\left( 2k-1 \right)x \right)}{2k-1},0<x<\frac{\pi}{2}\\ 然后结合 \frac{1}{\pi ^2} ,由于 6...
-(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: ...
Let's start with a little basic trigonometry and remind ourselves that {eq}cos(x) {/eq}, like {eq}sin(x) {/eq} or {eq}tan(x) {/eq}, is an oscillating trigonometric function and the that most striking difference between {eq}cos(x) {/eq} and {eq}sin(x) {/eq} is the fact...
It is often useful to consider a more specific form for IEs, where 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...
2.1.1051 Part 1 Section 18.17.7.316, TAN 2.1.1052 Part 1 Section 18.17.7.319, TBILLPRICE 2.1.1053 Part 1 Section 18.17.7.320, TBILLYIELD 2.1.1054 Part 1 Section 18.17.7.323, TIME 2.1.1055 Part 1 Section 18.17.7.324, TIMEVALUE 2.1.1056 Part 1 Section 18.17.7.330, TRIMMEAN 2.1....