Single integral (quad) in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the function for numerical integration.

SciPy

from scipy.integrate import [1]

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Aquad

Bintegrate

Csolve

Ddiff

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'integrate' which is the module, not the function.

Using 'solve' which is unrelated to integration.

Using 'diff' which is for differentiation.

The quad function from scipy.integrate is used for single integrals.

2fill in blank

medium

Complete the code to define the function to integrate: f(x) = x^2.

SciPy

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

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A**

B*

C^

D+

Attempts:

3 left

💡 Hint

Common Mistakes

Using '^' which is bitwise XOR, not power.

Using '*' which is multiplication, not power.

In Python, ** is used for exponentiation, so x**2 means x squared.

3fill in blank

hard

Fix the error in the integration call to integrate f from 0 to 1.

SciPy

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

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Af()

Bf(x=0)

Cf(x)

Df

Attempts:

3 left

💡 Hint

Common Mistakes

Calling the function with parentheses inside quad.

Passing a function call instead of the function object.

The function quad expects the function name without parentheses to pass it as an argument.

4fill in blank

hard

Fill both blanks to print the integral result and the estimated error.

SciPy

print('Integral:', [1])
print('Error estimate:', [2])

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Aresult

Berror

Cresult[0]

Derror[1]

Attempts:

3 left

💡 Hint

Common Mistakes

Trying to index result or error as if they were lists.

Using wrong variable names.

The quad function returns a tuple: (result, error). Use these variables directly.

5fill in blank

hard

Fill all three blanks to compute and print the integral of sin(x) from 0 to pi.

SciPy

import numpy as np
from scipy.integrate import [1]

result, error = [2](np.[3], 0, np.pi)
print(result)

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Aquad

Csin

Dcos

Attempts:

3 left

💡 Hint

Common Mistakes

Using cosine instead of sine.

Using different names for import and call.

We import quad to integrate, then call quad on np.sin from 0 to π.