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Integration
Exercise 1: Single integral
This example is taken from the 2018 exam in TMA4100 - Calculus 1, check out the exam and the solution for hand calculations (only in norwegain). This is task 2.
Compute the intregral
Solution
from sympy import *
# First we define our variable
x = Symbol('x')
# We then compute the answer for our given interval
ans = integrate(x*log(x**2), (x, 1, 4)) # log() without specifying the base equals ln()
# Finally, we print the answer
print(ans)
# Output:
-15/2 + 8*log(16) # log() is here the natural logarithm