AP Calculus BC Quiz
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INTEGRATION AND ACCUMULATION OF CHANGE
Question 1
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A signal uses
∫
x
sin
x
d
x
\int x\sin x\,dx
∫
x
sin
x
d
x
. Which expression is a correct antiderivative using integration by parts?
A
x
cos
x
−
sin
x
+
C
x\cos x-\sin x+C
x
cos
x
−
sin
x
+
C
B
−
x
cos
x
+
sin
x
+
C
-x\cos x+\sin x+C
−
x
cos
x
+
sin
x
+
C
C
x
sin
x
+
cos
x
+
C
x\sin x+\cos x+C
x
sin
x
+
cos
x
+
C
D
−
x
cos
x
−
sin
x
+
C
-x\cos x-\sin x+C
−
x
cos
x
−
sin
x
+
C
E
sin
x
+
C
x
\sin x+Cx
sin
x
+
C
x
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