
2- Integration by Substitution
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Mathematics
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University
•
Hard
ammar al-qadasi
Used 234+ times
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1 Slide • 10 Questions
1
Integration by Substitution
2
Multiple Choice
Use the indicated substitution to evaluate the integral.
∫sin(2x) dx,
cos(2x)+C
−21cos(2x)+C
−cos(2x)+C
21cos(2x)+C
3
Multiple Choice
Use the indicated substitution to evaluate the integral.
∫2xcos(x2) dx ,
sin(x2)+C
2sin(x2)+C
21sin(x2)+C
4cos(x2)+C
4
Multiple Choice
Use the indicated substitution to evaluate the integral.
∫7x6(x7+1)8dx ,
9(x7−1)9+c
9(x7+1)9+c
8(x7+1)8+c
9(7x6+1)9+c
5
Multiple Choice
Use the indicated substitution to evaluate the integral.
∫3+x22xdx , u=3+x2
23+x21+C
3+x2+C
23+x2+C
3+x32+C
6
Multiple Choice
Use substitution to evaluate the integral ∫(3x3+5)5⋅27x2dx
21(3x3+5)6+C
52(3x3+5)5+C
65(3x3+5)6+C
53(3x3+5)5+C
7
Multiple Choice
Use substitution to evaluate the integral
∫ x25+2x3 dx
91(5+2x3)23+C
32(5+2x3)23+C
6x(5+2x3)23+C
91x3(5+2x3)23+C
8
Multiple Choice
Evaluate the integral: ∫ 2x(x² + 5)⁻⁴ dx
(1/3)(x² + 5)⁻³ + C
-(1/3)(x² + 5)⁻³ + C
-4(x² + 5)⁻⁵ + C
(x² + 5)⁻⁴ + C
9
Multiple Choice
Evaluate the integral: ∫ (4x³/(x⁴ + 1)²) dx
(1/(x⁴ + 1)) + C
-(1/(x⁴ + 1)) + C
-2(x⁴ + 1)⁻³ + C
ln(x⁴ + 1) + C
10
Multiple Choice
Evaluate the integral: ∫ (3x + 2)(3x² + 4x)⁴ dx
(1/5)(3x² + 4x)⁵ + C
(1/10)(3x² + 4x)⁵ + C
(3x² + 4x)⁴ + C
(1/4)(3x² + 4x)⁴ + C
11
Multiple Choice
Evaluate the integral: ∫xsin2(x3/2−1)dx
(x3/2−1)/3+C
(x3/2−1)/3−sin(2(x3/2−1))/6+C
- −cos(x3/2−1) + C
(2/3)sin2(x3/2−1)+C
Integration by Substitution
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