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Calculus Antiderivatives Flashcards | StudBud
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Calculus Antiderivatives
Calculus Antiderivatives
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1
Find the anti-derivative of x
4
+3x
2
+6
(x5/5)+x3+6x+C
-36
4x3+6x+C
(x5/5)-x3-6x+C
2
Find the anti-derivative of 1/√(1-x
2
)
cos-1(x)+C
tan-1(x)+C
sec-1(x)+C
sin-1(x)+C
3
Find the anti-derivative of (x+5)
7
7(x+5)6+C
u8/8
((x+5)8/8)+C
((x+5)6/6)+C
4
What is the anti-derivative of 2?
Bananas
x2+C
C
2x+C
5
Find the anti-derivative of cos(x)
tan(x)+C
-sin(x)+C
sin(x)+C
-cos(x)+C
6
Find the anti-derivative of 360000x
8
-28960x
4
+92x
4000x8-5927x5+64x2
C+2x64+5x2975-9x00004
-40000x9+5792x5-46x2-C
40000x9-5792x5+46x2+C
7
Find the anti-derivative of 1/(1+x
2
)
cot-1(x)+C
sec-1(x)+C
csc-1(x)+C
tan-1(x)+C
8
Find the anti-derivative of sec
2
(x)
sec(x)cot(x)+C
cot(x)+C
tan(x)+C
-tan(x)+C
9
Find the anti-derivative of 1/x
(1/x2)+C
ln(x)
ln∣x∣+C
ex+C
10
What is the anti-derivative of x
2
?
(x3/3)+C
(x2/2)+C
2x+C
x3+C
