+ 64dx x² sec' ede 6. tan ?e 7. In [x/25+ x² dx, we let x= 5 tan e. S. In xx-625 dx, if we let x 25sece, thendx=25sece de.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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write TRUE in the space provided if the statement is correct and FALSE if incorrect. write your solution. 

Vx² +64dx
sec' ede
6.
2
tan e
7. In x25 +x dx, we let x=5 tan e.
S. In | x.
-625 dx, if we let x= 25sece, thendx= 25sece de.
9. The result of the integral in 6, given
25
dx is 5 tan e- 50 + C.
10 (x/49-x² dx when converted to e is 7 sin
e cos e de.
2
11. To each linear factor occurring once in the denominator of a proper fraction,
Adx
there corresponds a single partial fraction of the form
where A is
ax+b
constant and to be determined.
(4x +5x*)dx
(x+1)(x2 -6x +34)2
12. By the method of partial fractions, the integral
can be
A
B(2x - 6)
evaluated when expressed as
dx .
x+1
(x2 - 6x + 34)2
(3x² +8x –12)kix
x + 7x +12x
13. In
the complete factored form of the denominator is
x(x+ 4)(x+ 3)
Transcribed Image Text:Vx² +64dx sec' ede 6. 2 tan e 7. In x25 +x dx, we let x=5 tan e. S. In | x. -625 dx, if we let x= 25sece, thendx= 25sece de. 9. The result of the integral in 6, given 25 dx is 5 tan e- 50 + C. 10 (x/49-x² dx when converted to e is 7 sin e cos e de. 2 11. To each linear factor occurring once in the denominator of a proper fraction, Adx there corresponds a single partial fraction of the form where A is ax+b constant and to be determined. (4x +5x*)dx (x+1)(x2 -6x +34)2 12. By the method of partial fractions, the integral can be A B(2x - 6) evaluated when expressed as dx . x+1 (x2 - 6x + 34)2 (3x² +8x –12)kix x + 7x +12x 13. In the complete factored form of the denominator is x(x+ 4)(x+ 3)
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