Barrons AP Calculus - David Bock

(E) Hint: Expand. ...

(A) By formula (3), with u = 4 − 2t and ...

(D) Rewrite: ...

(E) Rewrite: Use (3). ...

(B) Rewrite: Using (3) yields ...

(A) This is equivalent to Use (4). ...

(E) Rewrite as Use (3). ...

(D) Use (5) with u = 3x; du = 3 dx: ...

(A) Use (4). If u = 1 + 4x^2 , du = 8x dx: ...

(D) Use (18). Let u = 2x; then du = 2 dx: ...

(C) Rewrite as Use (3) with n = −2. ...

(B) Rewrite as Use (3) with Note carefully the differences in the integrands in Questions 10–13. ...

(C) Use (17); rewrite as ...

(B) Rewrite as Use (3). Compare the integrands in Questions 14 and 15, noting the difference. ...

(A) Divide to obtain Use (2), (3), and (4). Remember that whenever k ≠ 0. ...

17. (E) (Note the Binomial Theorem with n = 3 to expand (x − 2)^3 .) ...

(D) The integral is equivalent to Integrate term by term. ...

(A) Integrate term by term. ...

(D) Division yields ...

(E) Use formula (4) with u = 1 − = 1 − y1/2. Then Note that the integral can be written as ...