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Integration by Substitution & Trig Derivatives Flashcards | StudBud

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Integration by Substitution & Trig Derivatives

8 terms·StudBud Administration·30 plays

Review for anyone who wants to improve in this section of Calculus. #Calculus #Integration #Derivatives #Trig #Substitution

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Questions 8

Answers

1
∫ (√cotx )(csc²x)dx
-2/3 cot3/2 x+C
3/2 cot2/3x+C
2/3 cot3/2 x+C
1/3 cot3 x+C
2
∫ sin⁴(3x+1)cos(3x+1)dx
1/15 sin5(3x+1)+C
1/15 -cos4(3x+1)+C
1/5 sin3(3x+1)+C
1/5 csc5(3x+1)+C
3
∫⁰_-1 (1-3x)² dx
-1/9
7
63/3
4/9
4
∫ x²sec²(x³) dx
1/3 tan(3x )+C
1/2 sec(x3 )+C
1/3 tan(x3 )+C
1/3 cos(x3 )+C
5
∫ 3x /√(2x²+5) dx
1/2 (2x2+5)2/3+C
3/2 (2x2+5)1/2+C
3/8 (2x2+5)4/3+C
2/3 (2x2+5)1/2+C
6
∫ sec(2x)tan(2x) dx
½ tan(2x)+C
¼ tan(2x)+C
½ sec(2x)+C
-½ sec(2x)+C
7
∫ x/√(4-5x²)dx
-1/5 (4-5x2)2/3+C
-1/5 (4-10x)1/2+C
1/5 (4-5x2)1/2+C
-1/5 (4-5x2)1/2+C
8
∫⁰_-1 6x²(x³ +1)¹⁹ dx
1/40
-1/10
1/10
1/20