![Grevens TE a da x²+4 2+4 = t zada=dt ada=dt 2 to dt To o tdt t 2 10. - 1 2 2 [hch] + [ dar (x²+4)] en (100 +4) – In (1+4)] =1](http://img.homeworklib.com/questions/a2d2f800-23c0-11eb-915e-7b102e1d294f.png?x-oss-process=image/resize,w_560)

Use a contour to evaluate x? dx (x2 +1)(x2+4) f
4. Solve the following equation using integration by parts. (10 Marks) | 22 x2 In(x) dx 5. Calculate the shaded area between the curve and the x-axis as shown below. (5 Marks) y = x2 - 6x
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
s više dx V16 – x2 -√16 – x² x' +C V16 – x2 2x +C V16 - x² + c 16 - x2 2x +C 1 point 5 x2 dx = x3 +4 In | x3 + 4[ + C In [x] + + +C O In | x3 +41 whe in* +4 +C + 4x|+C
Evaluate the following integral. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
Consider the following differential equation.
(x2 − 4)
dy
dx
+ 4y = (x + 2)2
Consider the following differential equation. dy (x2 - 4) dx + 4y = (x + 2)2 Find the coefficient function P(x) when the given differential equation is written in the standard form dy dx + P(x)y = f(x). 4 P(x) = (x2 – 4) Find the integrating factor for the differential equation. SP(x) dx 1 Find the general solution of the given differential equation....
Integrate the function. - dx, x<2 De 10, x2 om (2nd OB. a 1703 12 +0 oc. (4-2) ?. Oo. (1-2) 112* 12y3 3 / 2 + ) 1/2
10. (16) Find each indefinite integral using u-substitution: a. x?(1–2x")*dx b. ſxcos(x2 – 1) dx
4. If si f(x)dx = 10 and si g(x)dx = 6, then [2f(x) – 39(x)]dx is