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7 A suitable substitution for solving * (1 Point) S 749 - 4x?dx is x =...
Evaluate the following integral. x² dx √ 121 + x² What substitution will be the most...
Evaluate the following integral. x² dx √ 121 + x² What substitution will be the most helpful for evaluating this integral? O A. x= 11 sec 0 O B. x= 11 tano O C. x= 11 sino Find dx. dx = dᎾ Rewrite the given integral using this substitution and simplifying. so x dx - Sodo √121 + x² Evaluate the indefinite integral. x²dx s √121+x² (Use C as the arbitrary constant.)
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1)...
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
Evaluate the integral using the given substitution. ſ Vacos (x32-7) dx, u = x 3/2_, o...
Evaluate the integral using the given substitution. ſ Vacos (x32-7) dx, u = x 3/2_, o x312 sin 2(x3/2 - 7)+ C o sinᵒ (8312.7) + C a o 1/3 (4x) sin (x3/2 -7)+C o $(x3/2 - 7) + sin 2(x3/2 - 7) + C
integrate. state du and u a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax a) tan(4x sec (4x)dr dx r +1 b) d...
integrate. state du and u
a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
(1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур (1 point) Find a part...
(1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур
(1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7...
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
(a) i) For ∫(4x−4)(2x^2-4x+2)^4 dx (upper boundry =1, lower =0) Make the substitution u=2x^2−4x+2, and write...
(a) i) For ∫(4x−4)(2x^2-4x+2)^4 dx (upper boundry =1, lower =0) Make the substitution u=2x^2−4x+2, and write the integrand as a function of u, ∫(4x−4)(2x^2−4x+2)^4 dx =∫ and hence solve the integral as a function of u, and then find the exact value of the definite integral. ii) Make the substitution u=e^(3x)/6, and write the integrand as a function of u. ∫ e^(3x)dx/36+e^(6x)=∫ Hence solve the integral as a function of u, including a constant of integration c, and then write...
Consider the differential equation: (7y sin(xy) + 2 sec x) dx = (2 lny – 4x...
Consider the differential equation: (7y sin(xy) + 2 sec x) dx = (2 lny – 4x sin(xy))dy Note: Do not use square brackets in your response, use normal parantheses if you have to, i.e "0" Then aM ду and ƏN ax Is this equation exact? Yes No Consider the differential equation: sin(x)dx + 5y cos(x)dy = 0 Which of the following can be an integrating factor to make the equation exact? Select all that apply. On=e-54 On=tan(x) Ju=e-542/2 On =...
Test: Final This Question: 6 pts Use an appropriate substitution and then a trigonometric substitution to...
Test: Final This Question: 6 pts Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. XX Which substitution transforms the given integral into one that can be evaluated directly in terms of 0 OA. X 3 tano OB. X= 3 sino OC. X= 3 sec 0 Given the expression for x above, find dx in terms of O and do. dx = 00 dx x4-9 Click to select your answer(s).
Evaluate the following integral. cos 4x dx 11 - sinx S 5л cos 4x dx =...
Evaluate the following integral. cos 4x dx 11 - sinx S 5л cos 4x dx = S 1 - sin x 51 6 (Type an exact answer.)
Evaluate the following integral. x² dx √ 121 + x² What substitution will be the most helpful for evaluating this integral? O A. x= 11 sec 0 O B. x= 11 tano O C. x= 11 sino Find dx. dx = dᎾ Rewrite the given integral using this substitution and simplifying. so x dx - Sodo √121 + x² Evaluate the indefinite integral. x²dx s √121+x² (Use C as the arbitrary constant.)
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
Evaluate the integral using the given substitution. ſ Vacos (x32-7) dx, u = x 3/2_, o x312 sin 2(x3/2 - 7)+ C o sinᵒ (8312.7) + C a o 1/3 (4x) sin (x3/2 -7)+C o $(x3/2 - 7) + sin 2(x3/2 - 7) + C
integrate. state du and u
a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
(1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур
(1 point) Find a particular solution to dy dy x2 + 4x + 2y =x' sin(x). dx in x > 0 ур
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
Consider the differential equation: (7y sin(xy) + 2 sec x) dx = (2 lny – 4x sin(xy))dy Note: Do not use square brackets in your response, use normal parantheses if you have to, i.e "0" Then aM ду and ƏN ax Is this equation exact? Yes No Consider the differential equation: sin(x)dx + 5y cos(x)dy = 0 Which of the following can be an integrating factor to make the equation exact? Select all that apply. On=e-54 On=tan(x) Ju=e-542/2 On =...
Test: Final This Question: 6 pts Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. XX Which substitution transforms the given integral into one that can be evaluated directly in terms of 0 OA. X 3 tano OB. X= 3 sino OC. X= 3 sec 0 Given the expression for x above, find dx in terms of O and do. dx = 00 dx x4-9 Click to select your answer(s).
Evaluate the following integral. cos 4x dx 11 - sinx S 5л cos 4x dx = S 1 - sin x 51 6 (Type an exact answer.)
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