Show:
Section 5.1
Section 5.2
Section 5.4
Section 5.5
Section 5.6
100
ln x = xS1 1/t dt
What is the natural logarithmic function?
100
Integral for S (1/x) dx
What is ln lxl + C?
100
Inverse function for f(x) = ln x
What is f ^(-1) (x) = e^x?
100
Logarithmic function to the base log x
What is [1/ (ln a)] ln x?
100
Derivative for arcsin u
What is u' / sqrt (1-u^2)?
200
2.71828182846
What is the value of the number e.
200
-cos u + C
What is the integral for sin u?
200
Integral for S e^x dx
What is e^x + C?
200
Evaluate log<7> 1
What is 0?
200
Derivative for arctan u
What is u' / (1+ u^2)?
300
Expand ln (5x)/6
What is ln 5 + ln x - ln 6?
300
ln l sec u + tan u l + C
What is the integral for sec u?
300
Solve e ^(ln x) = 27
What is 27?
300
Rewrite as a log---> 2^3 = 8
What is log<2> 8 = 3?
300
Derivative for arccot u
What is -u' / (1+u^2)?
400
Simplify 2 ln 3 - (1/2) ln (x^2 + 1)
What is ln 9 / sqrt (x^2 + 1)?
400
-ln l cos u l + C
What is the integral for tan u?
400
Solve ln x = 2
What is x~7.389?
400
Solve for x---> log<10> 1000 = x
What is x = 3?
400
Derivative for arccos u
What is -u' / sqrt (1-u^2)?
500
Derivative for ln x^2
What is 2/x?
500
sin u + C
What is the integral for cos u?
500
Solve ln (x-3) = 2
What is x~10.389?
500
Solve ----> 3^(2x) = 75
What is 1.965?
500
Derivative for arcsec u
What is u'/ lul sqrt (u^2 -1)?