and then we can use the rules of integration to calculate it further. Answer and Explanation:1 We have, {eq}\displaystyle{ \int \frac{1}{x^2\sqrt{1-x^2}}dx }{/eq} As the form of the expression is {eq}\displaystyle{ a ^ { 2 } - x ^ { 2... ...
Evaluate the following integral of tan^2(x/2) sec^3(x/2) dx. Evaluate the following integral: \int_{0}^{\infty} xe^{-x^2} dx. Evaluate the following: Integral of (x^3 + 1)/(x^2 - 4) dx. Evaluate the following integral. \int_{\frac{\pi}{6^{\frac{\pi}{3 \tan...
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Add a constant to the solution=41sin(y)+C Graph Sorry, your browser does not support this application Popular Examples Frequently Asked Questions (FAQ) What is the integral of 1/(4sec(y)) ? The integral of 1/(4sec(y)) is 1/4 sin(y)+C...
Example:∫g(x)dx Sometimes, the integrand of the integral can be complicated, then we apply basic mathematics rules and formulas to simplify the integrand. Answer and Explanation:1 Given Data: The given indefinite integral is∫sin(x)cos(12x)dx. ...
xy @x @y jx;y=0 + : : : = X1 Xn 1 xmyn n! m @nF (x; @xm@yn y) m jx;y=0 n=0 m=0 The extension of this formula to n variables is straightforward (but you'll need n summation symbols!). By de…nition, a functional is a function of one or more functions. For a...
Integral representations of products of quartic Levy stable functions In this paper, we get three integral representations for the linear independent solutions of differential equation y ''' + xy = 0 in terms of the quartic L... LAA Moslehi - 《Integral Transforms & Special Functions》 被引量...
For any m, the matrix [K(s~,~)(m)] has only integral nonnegative values (the entries in that matrix are of the form rr(x) 7(Y) ~ f°~"(xy) ~ f(xy) with x, y c N*) although the matrices A(~r) and the vectors rr and ~ may have negative and nonintegral values. ...
A) Integral from 1 to 4 of (ln x)/(sqrt x) dx B) Integral of (2x^2 - x - 2)/((x + 2)(x^2 + 4)) dx Evaluate the integral. Integral of 1/(x - 2)(x^2 + 4) dx. Evaluate the indefinite integral. Integral of (xe^(2x))/(1 + 2x)^2 dx. Evaluate ...
The substitution of some variable in the place of trigonometric ratios is known as the trigonometric substitution. We will use the trigonometric integral to evaluate the integral of the given function.Answer and Explanation: Given: I=∫cot(x) dxI=∫cos(x)sin(x) dx Let......