AP Calculus BC Practice Exam 1 379
2
1
–1^0123
–1
–2
f
y
x
- The graph offfor− 1 ≤x≤3 consists of two
semicircles, as shown above. What is the value
of
∫ 3
− 1
f(x)dx?
(A) 0 (B) π
(C) 2π (D) 4π
- The series expansion for
∫ x
0
cos
√
tdtis
(A) x−
x^2
2 ·2!
+
x^3
3 ·4!
−
x^4
4 ·6!
+···
+
(−1)nxn+^1
(n+1)(2n)!
+···
(B) x−
x^2
2!
+
x^3
4!
−
x^4
6!
+···+
(−1)nxn+^1
(2n)!
+···
(C) x+
x^2
2 ·2!
+
x^3
3 ·4!
+
x^4
4 ·6!
···
+
xn+^1
(n+1)(2n)!
+···
(D) 1 −
x
2 ·2!
+
x^2
3 ·4!
−
x^3
4 ·6!
···
+
(−1)nxn
(n+1)(2n)!
+···
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