Trapezoidal rule (trapezoid) in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the trapezoidal rule function from scipy.

SciPy

from scipy.integrate import [1]

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Atrapz

Bquad

Csimps

Ddblquad

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'quad' which is for adaptive quadrature, not trapezoidal rule.

Using 'simps' which is Simpson's rule, not trapezoidal.

The trapz function from scipy.integrate computes the integral using the trapezoidal rule.

2fill in blank

medium

Complete the code to calculate the integral of y with respect to x using the trapezoidal rule.

SciPy

result = trapz([1], x)

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Ay

Bintegral

Cresult

Dx

Attempts:

3 left

💡 Hint

Common Mistakes

Passing x as the first argument instead of y.

Passing the result variable as input.

The first argument to trapz is the array of function values y to integrate.

3fill in blank

hard

Fix the error in the code to correctly compute the integral using the trapezoidal rule.

SciPy

integral = trapz(y, [1])

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Aintegral

Bx

Cresult

Dy

Attempts:

3 left

💡 Hint

Common Mistakes

Passing y as both arguments.

Passing the result variable instead of x.

The second argument to trapz should be the x values corresponding to y.

4fill in blank

hard

Fill both blanks to create a dictionary comprehension that maps each x to its y value only if y is greater than 0.

SciPy

{x: y for x, y in zip([1], [2]) if y > 0}

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Ax_values

By_values

Cx

Dy

Attempts:

3 left

💡 Hint

Common Mistakes

Swapping x and y in the zip function.

Using variable names not defined in the code.

We use zip(x_values, y_values) to pair each x with its y, then filter where y > 0.

5fill in blank

hard

Fill all three blanks to create a dictionary comprehension that maps the uppercase string of each x to its y value only if y is greater than 0.

SciPy

{ [1]: [2] for x, y in zip(x_values, y_values) if [3] > 0 }

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Ax.upper()

By

Dx

Attempts:

3 left

💡 Hint

Common Mistakes

Using x instead of x.upper() as key.

Checking x > 0 instead of y > 0.

The keys are uppercase strings of x, values are y, and the condition checks if y is positive.