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Sage Computation Assignment

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# Octavia Collins,         Lets Integrate
#1 What procedure would you perform if you were given the integral log(x),x?
from sage.symbolic.integration.integral import indefinite_integral
print("Integral of log(x)")
indefinite_integral(log(x), x)
Integral of log(x) x*log(x) - x 
#2Find the second integral of the integral (log(x), x)
from sage.symbolic.integration.integral import indefinite_integral
firstInt= indefinite_integral(log(x), x)

print("2rd Integral of log(x)")

indefinite_integral(firstInt, x)
2rd Integral of log(x) 1/2*x^2*log(x) - 3/4*x^2 
#3What is the difference when you add the bound 0, 10. 
#x=var('x')
from sage.symbolic.integration.integral import definite_integral
print("Definitie Integral of log(x) from 0, 10")
definite_integral(log(x), x, 0, 10)
Definitie Integral of log(x) from 0, 10 10*log(10) - 10 
#4Graph the function with the bound 0,10.
plot(definite_integral(log(x), x, 0, 10))

#5Remove the bound and make your function indefinite once more? Try to plot it, why do you think it didn't work?
plot(indefinite_integral(log(x), x))
verbose 0 (3698: plot.py, generate_plot_points) WARNING: When plotting, failed to evaluate function at 100 points. verbose 0 (3698: plot.py, generate_plot_points) Last error message: 'can't convert complex to float' 
#5Remove the bound and make your function indefinite once more? Try to plot it, why do you think it didn't work?



plot(indefinite_integral(log(x), x))
verbose 0 (3698: plot.py, generate_plot_points) WARNING: When plotting, failed to evaluate function at 100 points. verbose 0 (3698: plot.py, generate_plot_points) Last error message: 'can't convert complex to float'