ap-calculus-bc 2012 Q24

ap-calculus-bc · Usa · practice-exam Integration by Parts Multiple-Choice Primitive Identification

Let $f$ be a differentiable function such that $\int f ( x ) \sin x \, d x = - f ( x ) \cos x + \int 4 x ^ { 3 } \cos x \, d x$. Which of the following could be $f ( x )$ ?
(A) $\cos x$
(B) $\sin x$
(C) $4 x ^ { 3 }$
(D) $- x ^ { 4 }$
(E) $x ^ { 4 }$

Let $f$ be a differentiable function such that $\int f ( x ) \sin x \, d x = - f ( x ) \cos x + \int 4 x ^ { 3 } \cos x \, d x$. Which of the following could be $f ( x )$ ?

(A) $\cos x$

(B) $\sin x$

(C) $4 x ^ { 3 }$

(D) $- x ^ { 4 }$

(E) $x ^ { 4 }$

Paper Questions

Q1 Q1 (Free Response) Q2 Q2 (Free Response) Q3 Q3 (Free Response) Q4 Q4 (Free Response) Q5 Q5 (Free Response) Q6 Q6 (Free Response) Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q76 Q77 Q78 Q79 Q80 Q81 Q82 Q83 Q84 Q85 Q86 Q87 Q88 Q89 Q90 Q91 Q92