Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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•Exercises 40,43,46, 47 Page 659: Evaluate the definite integral.
95
40.
xp
In ex
xp
3/2
46.
dx +
| F(x)dx,
where f(x) =
2х,
S 4x², if0 < x < }
if 를
4х+2
Evaluate the integral
dx. (Hint: Use Algebra to help further rewrite your
(x² +1)(x-1)
fractions).
Please help 7,9
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- 5 Use substitution to evaluate the integral | (3x³ + 5)° · 27x²dx (3x° + 5)° + C (3 (3x? + 5)° + © 3x° + 5)° + C 1 (3x³ + 5)° + Carrow_forwardEvaluate each integral in Exercises 47-50 by reducing the improper fraction and using a substitution (if necessary) to reduce it to standard form. 47. 48. -dx 49. de 2x3 dx 50.472-737 de 2x + +1arrow_forwardHow do you express number 62 as a single integral? Thank youarrow_forward
- > Evaluate the Integral 3 dx ax45X +2arrow_forward+C b. 9arcsec 81 +C 10 а. arcsec 9x +C_d. 6 1 arcsec 100x c. 9arcsec +C 10 81 10x arcsec е. +C 9. Find the indefinite integral. 1 36+ (x – 4) a. arctan +c 1 x-4 36 36 1 arctan X - X-4 b. 36 arctan 36 +C c. +C 6. -4 +C e. 6arctan 6. X-4 + C 6. d. arctan 36 0. Find the integral dt. * +81 -arctan 9r dt +C b. t dt+C a. arctanarrow_forwarde2x Calculate the integral of " -dx . 3x -o e* +8arrow_forward
- Evaluate the following integral. 1 dx (x² + 16)² t arctan()) +C (B)긁(2116 + arctan(주)) + C x + 16 (C)를(216+1 arctan())+C (D)능(2 16+ arctan() + 32 + + arctan()) +C (D) 2+ 16 + C (E) 16T+16 + arctan()) +C (F) + c arctan( x + 16 16 (G)(군16+arctan 들) +C (H)를(16+ barctan( ) +C x2 +÷ arctan(수)) + C(H) + 16 금 arctan( 주 )) + C x + 16arrow_forwardGiven functions f and g, use the fact that 6 [ f(x) dx = 3, the following integrals: A) 2 / g(r) C) 4 S +6 6⁰. dx [ [Select] 6 B) [*[f(x) = 4g(x)] dz [Select] - g(x) dx -5 and = [3f(x) + 1] dx [Select] 4 [* f(x) dx = 4, da 6 nd [₁ g(x) dx = -4 to evaluatearrow_forward
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