Why numerical integration computes areas in SciPy - Test Your Understanding

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the numerical integration function from scipy.

SciPy

from scipy.integrate import [1]

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Asolve

Bquad

Cintegrate

Dsum

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'solve' which is not a scipy integration function.

Using 'sum' which is a Python built-in, not for integration.

The quad function is used for numerical integration in scipy.

2fill in blank

medium

Complete the code to define the function to integrate: f(x) = x squared.

SciPy

def f(x):
    return x[1]2

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A*

B+

C//

D**

Attempts:

3 left

💡 Hint

Common Mistakes

Using '*' which multiplies but does not square.

Using '//' which is integer division.

The ** operator raises x to the power of 2, which means x squared.

3fill in blank

hard

Fix the error in the integration call to compute the area under f from 0 to 1.

SciPy

area, error = quad([1], 0, 1)

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Af(x)

Bf()

Cf

Df(x=0)

Attempts:

3 left

💡 Hint

Common Mistakes

Calling the function inside quad instead of passing the function itself.

Passing an undefined variable like x.

The function f should be passed without parentheses to quad.

4fill in blank

hard

Fill both blanks to create a dictionary of areas for functions f and g over 0 to 1.

SciPy

areas = { 'f': quad([1], 0, 1)[0], 'g': quad([2], 0, 1)[0] }

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Af

Bg

Ch

Dquad

Attempts:

3 left

💡 Hint

Common Mistakes

Passing 'quad' instead of function names.

Using undefined function 'h'.

We pass the function names f and g to quad to compute their areas.

5fill in blank

hard

Fill all three blanks to create a dictionary comprehension that computes areas for functions in funcs over 0 to 1.

SciPy

areas = { [1]: quad([2], 0, 1)[0] for [1] in [3] }

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Afunc

Cfuncs

Df

Attempts:

3 left

💡 Hint

Common Mistakes

Using different variable names for key and function.

Using undefined variable 'f' instead of 'func'.

The variable func is used as the key and passed to quad. The iterable is funcs.