Your defined functions are volatile and will be forgotten once the current parser session is over. The only way to have the parser remember them always is to introduce some form of persistence. f(x)=sin(x)+cos(x-1) f(2) the parser automatically calculates ...
Evaluate the integral by reversing the order of integration: \int_0^3 \int_{3y}^9 11e^{x^2} dx dy Evaluate the integral by reversing the order of integration, integral_0^1 integral_{x^2}^1 x^3 sin(y^3) dy dx. Evaluate the integral \int_0^\sqrt{3\p...
Find values for the integral of function z = f(x, y) over region R: z = x^2 y^2 + 3 \sin {(2x + 3y)} over R = {(x, y) | 0 \leq x \leq 1 and 1 \leq y \leq (2 - x) } Sketch the region of integration and...
Find a particular solution to the following differential equation: y''' -3y'' + 4y = xe^{2x}. Find the particular solution of the differential equation. y''+y'+(y/4)=1+xe^(x) Find a particular solution to the differential equation 3y'' - 4y' + y = 2t^2 -...
Change the order of integration and rewrite the integral. \int_{0}^{1} \int_{3y}^{3} \sin(x^{2}) dx dy Evaluate the integral by changing the order of integration. Change the order of integration to evaluate \int _0^1\int _{3y}^3 e^{(x^2)}dxdy. Conside...
微积分英文版ch9further applications of integration.pdf,4100 AWL/Thomas_ch09p642-684 8/20/04 9:07 AM Page 642 C h a p t e r 9 FURTHER APPLICATIONS OF INTEGRATION HISTORICAL BIOGRAPHY OVERVIEW In Section 4.8 we introduced differential equations of the form
(Use {eq}C {/eq} for the constant of integration.) {eq}\int e^{-y} \cos(3y) \, \mathrm{d}y {/eq} Integration By Parts: The basic formulas of integration can not integrate the product of two functions at all times. To integrate the product of two fu...
Calculate the double integral of f(x,y)=\frac{\sin (y)}{y} over the region bounded by y=1, y=2, y = X and y =x/2 Evaluate the integral: Double integral_R (xy + 2x + 3y) dA_{xy}, where R is the region bounded by x = 0, y ...
int_{0}^{3}\int_{3y}^{9}13e^{x^{2dxdy Evaluate the integral \int_0^1\int_{\arcsin{y^{\pi/2}\cos{x}\sqrt{1 + \cos^2x}dxdy by reversing the order of integration. Evaluate the following integral by reversing the order of integration: \int_{-2}^{0} ...
Integral of 5t sin^2(t) dt. Evaluate the integral. (Use C for the constant of integration.) Integral of 16*tan^4(x) sec^6(x) dx. Evaluate the integral. (Use C for the constant of integration.) integral 8 tan 2x + tan 4x dx. Evaluate the integral. (Us...