Solve the following Gaussian Integral
Solve the following indefinite integral: / 2x + 3 dx
3. (1 point) This is 2-point Gaussian Quadrature for any f(x) dx. The weights and the nodes do not change when we integrate a new function. So...does it work? Does this actually lead to a method that is good for intergating functions in general? Use 2-point Gaussian quadrature to approximate the following integral: I e-ra da. -1 The exact value of this integral rounded to 2 decimal places is 1.49. Show your work when computing the approximation. Report the answer...
Problem 1. Consider an integral of the form 1 (f) = f0 /if (x) dx. Show that the one-point Gaussian quadrature rule for integrals of the form Jo VRf (x) dx has the node x1and weight w3 Problem 1. Consider an integral of the form 1 (f) = f0 /if (x) dx. Show that the one-point Gaussian quadrature rule for integrals of the form Jo VRf (x) dx has the node x1and weight w3
Solve the Integral cos" dx Rpta. 2 (cosa cosa »" (senc +6 2 sen
EXAMPLE 4 X dx Solve the integral 6
please help solve the boxes integral by intergration by parts Yw-Ae (T+2) +S dx (2) imtegratiun by rts
2. Use cylindrical coordinates to solve the integral SSS (x2 + y2) dx dy dz D Z 2 Z = 2 z=Ż (x2 + y2) tor - y Х
Find the following indefinite integral: 122* •2x² + 7x-3 -dx X-2 Find the following indefinite integral: ( (sec(2x) 2x) + tan(2x))dx
QUESTION 2 Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane yz + 9(1 -y/10)3(1 -x/9-y/10) a dz dy dx 0 0 0 10(1 -x/9) ,3(1-x/9-y/10) 9 dz dy dx 0 0 1-x/9-y/10 C.9 1 -y/10 dz dy dx 0 0 0 d. 9 1 -x/9 1-x/9-y/10 dz dy dx 0 0 0
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)