Consider the indefinite integral 51 +6 dc: a) This can be transformed into a basic integral...
Select the basic integration formula you can use to find the indefinite integral. 4 To dt (4 - 6)2 + 25 I love du uvu? - a au du du Va2 - 02 du ol a2 + u² Identify u and a x
(3 points) Consider the indefinite integral X – 3 (3x - 2)2 dx. The substitution u = 3x – 2 transforms the integral into: | du (This answer must be a function of u.) Note: You are not asked to evaluate the integral.
To apply substitution to an integral, the solver begins with a guess. The solver guesses that by changing the variable (here x) to u=g(x), the integral can be transformed. However, not every guess leads to a proper substitution. Consider the following integral. 8 2 XVX 19 Does the substitution u =X + 19 apply? If so, you should be able to complete the integration 8 2 XVX 19 Does the substitution u =X + 19 apply? If so, you should...
(1 point) A Bernoulli differential equation is one of the form dy dc + P(x)y= Q(x)y" Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = yl-n transforms the Bernoulli equation into the linear equation du dr +(1 – n)P(x)u = (1 - nQ(x). Consider the initial value problem xy + y = 3xy’, y(1) = -8. (a) This differential equation can be written in the form (*)...
6. Find the general indefinite integral: J (u + 4)(2u +1)du I a. (3x dx conto de ton of b. [VF (82 +31 + 2)dx cinco T() = f(x) d. Sx dx (a=-1) sin x-e' +2 de 188
Consider the following initial-value problem. 5 f'(x) f(1) = 17 Integrate the function f'(x). (Use C for the constant of integration.) f'(x) dx Find the value of C using the condition f(1) = 17. с State the function f(x) found by solving the given initial-value problem. f(x) Consider the following. |--145 – 03 +49) du Simplify the integrand by distributing u to each term. SO Jau du x Find the indefinite integral. (Use C for the constant of integration.) 6...
Fill in the blanks (1 point) A Bernoulli differential equation is one of the form dy + P()y= Q(Cy" (*) dr Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=yl-n transforms the Bernoulli equation into the linear equation du dac + (1 - n)P(x)u= (1 - nQ(2). Consider the initial value problem xy' +y= -6xy?, y(1) = -2. (a) This differential equation can be written in the form...
Question 14 7 pts Consider the line integral F. dr where REC IND РІ. F(x, y, z) = i + (x+yz)j + (xy – z)k and C is the boundary of the plane 2 + y + z = 4 in the first octant, oriented in the counterclockwise direction when viewed from above. the following double integrals is equivalent to this line Using Stokes' Theorem, which integral? °6964 (3 - 2z+1) du dz (2x + y) dy da Question 12...
cormect 2r7 +2 correct +22 ) Al least one of the answers above is NOT correct 2 of the questions remain unanswered (1 point Consider the integral 1) dz in the tollowing, we will evaluate the integral using two methods A. First, rewrite the integral by multiplying out the integrand dz Then evaluate the resulting integral term-by-term B. Next, reme the integral using the substitution w = z4 + 1 du Evaluate this integral (and back-substitute for un) to find...
Can you please do this in matlab Consider the following function: 4 0 Using the following parameters in your functions: func: the function/equation that you are required to integrate a, b: the integration limits n: the number of points to be used for the integration : Integral estimate A. Write a function capable of performing numerical integration of h(x) using the composite B. write a function capable of performing numerical integration of h(x) using the composite C. Calculate the absolute...