Evaluate the following integrals. S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
u-substitution: indefinite integrals (In x)2 = dx = х Choose 1 answer: @ (In x)2 + C 2 In x + C (In x)3 3 +C © (In x)3 + C
Please show steps. Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
solve intial value +2y= X dy Х dx in form 1 g (=-6 find final answer y=f(x,
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
(1 point) Solve the system 2 1 dx dt х -5 -2 N with x(0) = 3 Give your solution in real form. X= X2 = An ellipse with clockwise orientation ✓ 1. Describe the trajectory.
Evaluate the following integral.. 5e 6Inx -dx х Soon 1 5 e 6'nx dx = (Type an exact answer.) Х 1
5. Use Scilab to create following rational expression matrix: 12x 2 1+x 1x2 1 x2 1 +x 3 x 1+x3x3 5x x3 2 x2 1 x3 6 1+2x 1+ 3х + x2 1-х+x2. 5. Use Scilab to create following rational expression matrix: 12x 2 1+x 1x2 1 x2 1 +x 3 x 1+x3x3 5x x3 2 x2 1 x3 6 1+2x 1+ 3х + x2 1-х+x2.
(2) Calculate the following integrals: х 2.x3 – 4x + 3 -dx (x + 1)2(x2 +1) Java 2 - 25 2 dx x4V x2 – 25 (3) Explain why, using the techniques we've learned so far, we are able to calculate the integral of any rational function. (A rational function is one of the form p(x) where g(x2) p and q are polynomials.)
Integrate using partial fractions. Х dx 4 1 +X