Elt 206 1.docx
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X dX 4 3 X + 2 X + 2 X 2+2 X +1 clear clc syms x I=int((x^2)/(x^4+2*x^3+2*x^2+2*x+1)) 1.∫
I = log(x^2 + 1)/4 - log(x + 1)/2 - 1/(2*(x + 1)) π/2 2
2. ∫ (cos 3 x−2 cos x ) dx 0
syms x I2=int((cos(3*x)-2*cos(x))^2,0,(pi/2)) I2 = (5*pi)/4 3.∫ √
x2 −9 dx x syms x int((sqrt((x^2)-9))/2) ans = (x*(x^2 - 9)^(1/2))/4 - (9*log(x + (x^2 - 9)^(1/2)))/4 2−x 4.∫ dx 2 √−x −10 x−21
sqrt x int((2-x)/sqrt(-x^(2)-10*x-21))
X dX 4 3 X + 2 X + 2 X 2+2 X +1 clear clc syms x I=int((x^2)/(x^4+2*x^3+2*x^2+2*x+1)) 1.∫
I = log(x^2 + 1)/4 - log(x + 1)/2 - 1/(2*(x + 1)) π/2 2
2. ∫ (cos 3 x−2 cos x ) dx 0
syms x I2=int((cos(3*x)-2*cos(x))^2,0,(pi/2)) I2 = (5*pi)/4 3.∫ √
x2 −9 dx x syms x int((sqrt((x^2)-9))/2) ans = (x*(x^2 - 9)^(1/2))/4 - (9*log(x + (x^2 - 9)^(1/2)))/4 2−x 4.∫ dx 2 √−x −10 x−21
sqrt x int((2-x)/sqrt(-x^(2)-10*x-21))
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