Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take mock test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the area under the curve y = 3x from x = 0 to x = 2?
💡 Hint: Use the definite integral to calculate.
Question 2
Easy
How do you express the area under y = x² from x = a to x = b?
💡 Hint: Remember the formula for definite integrals.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the definite integral \( \int_a^b f(x) \, dx \) represent?
- The slope of the function
- The area under the curve
- The average value of the function
💡 Hint: Think about what an integral accumulates over an interval.
Question 2
True or False: The area found under a curve can be negative.
- True
- False
💡 Hint: Remember the definition of signed area.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A function has an area calculated by the integral \( \int_{1}^{5} 2x - 3 \, dx \). What is the area between the curve and the x-axis, considering signed areas?
💡 Hint: Consider the points of intersection for better understanding.
Question 2
Determine the area between the curve of y = x² + 1 and the x-axis from x = -1 to x = 1.
💡 Hint: Sketch the graph to visualize areas effectively.
Challenge and get performance evaluation