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Calculus 2 Reviews
Calculus 2 Unit 7 ( Test 2 )
Antiderivatives Review
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Cards (21)
Antiderivative of sin(x)
-cos(x) + C
Antiderivative of cos(x)
sin(x) + C
Antiderivative of sec^2(x)
tan(x) + C
Antiderivative of sec(x)tan(x)
sec(x) + C
Antiderivative of csc(x)cot(x)
-csc(x) + C
Antiderivative of csc^2(x)dx
-cot(x)
+
C
Antiderivative of dx/sqrt(1 - x^2 )
sin^-1 (x) + C
Antiderivative of dx/( 1 + x^2)
tan^-1(x) + C
Antiderivative of tan(x)dx
ln(sec(x)) + C
Antiderivative of k*f(x)fx
k * int f(x) dx
k
∫
f
(
x
)
d
x
k\int_{ }^{ }f\left(x\right)dx
k
∫
f
(
x
)
d
x
Antiderivative
of x^n dx
x
n
+
1
n
+
1
+
\frac{x^{n+1}}{n+1}+
n
+
1
x
n
+
1
+
C
C
C
Antiderivative of 1/x dx
ln |x| + C
Antiderivative of e^xdx
e^x + C
Antiderivative of a^x dx
a
x
ln
a
+
\frac{a^{x}}{\ln\ a}+
l
n
a
a
x
+
C
\ C
C
Sin^2(x) =
1/2
[
1 -cos
(
2x
) ]
Cos^2(x) =
1
/
2
[
1
+
cos
(
2x
)]
Antiderivative of tan(x)dx
ln(sec(x)
)
+ C
Antiderivative of ln(x) dx
x ln(x) -
x
+ C
Antiderivative of sec(x)
ln |sec(x) + tan(x)| + C
Antiderivative of cot(x)
ln |sin(x)| + C
Antiderivative of csc(x)
ln |csc(x) - cot(x)| + C