Integrate using basic integration techniques
Q3 ) Use numerical integration with n=3 to determine the following integration then solve it analytically using a proper method of integration and compare results. Inx dx
choose either subsitution, integration by parts, trigonometric subsitution or integration using partial fraction and solve the integral 25 IP r2 + 4
Q3 ) Use numerical integration with n-3 to determine the following integration then solve it analytically using a proper method of integration and compare results. InLX dx 04) Used double integral find the area between the following curves y = x2y = 2 - x (5) Use shell method find the volume of the solid generated by revolving the curves y=x", y = 2 - x?, about y axis
4. (a) Solve y' + 4xy = x using the integration factor method. (b) Solve the differential equation in (a) again using separation of variables.
Determine the moment of inertia for the shaded area about the x axis using the basic integration equation
Numerical Analysis: a) The basic form of the Gaussian quadrature formula is The integration formula using two points can be made exact when a polynomial of order 3 is integrated. i) Determine the weights c, c2 and the points , 2 e-radz.16] (ii) By find using a change of variable use Gaussian Quadrature to 0 a) The basic form of the Gaussian quadrature formula is The integration formula using two points can be made exact when a polynomial of order...
Using MATLAB, please solve questions 5 and 6. 5. Basic integration TV2 Show that tan 1 = (sin? x dx = SV1- x? dx. 0 6. Integration with simple probability application The results x of a certain biological test are found to be normally distributed, with an average value u of 800 and a standard deviation o of 100. We can define zo = (x – u)/o as a measure of the number of standard deviations from the mean that...
Using the integration method, solve for the deflection and slope at x=2. E is given as 200 Gpa and I=65*10^6 mm^4 1 10KN X 3m
Solve the ordinary differential equation using the numerical solver ode45: dw/dt=7e^(-t) where x(0)=0 Plot(t,x) for t=0:0.02:5 in Matlab