Calculus X is the most effective study tool for calculus at the AP or intro college level. It integrates free response questions, concise videos, quizzes, formula sheets, scratch pad and references to make the study process efficient, easy and mobile.

If you’re a busy student, finding enough time to study for each calculus exam is a challenge. We have used the latest developments in educational psychology to build an app that maximizes productivity and helps you learn and do calculus as quickly as possible.


-Over 800 multiple choice questions with detailed solutions.
These conceptual based questions help you to learn calculus in a deep and intuitive way. They can all be answered without a calculator, pen or paper; making the study process as mobile as possible.

-Over 75 beautiful 720p videos which solve free response style questions in step-by-step detail.
These concise videos were designed specifically for the mobile device and solve the problems clearly and systematically in order to develop your problem solving intuition. They use narration and detailed visual guidance to increase understanding of the solution method. More video content coming soon.

-Extensive formula sheets accompany each chapter for quick access to all formulas from intro calculus, and all the necessary formulas from pre-calculus. Plus referenc e

-Fun and easy-to-use scratch pad allows you to do calculations on the fly, without the need for pencil and paper.

-Reference materials include: trigonometric identities, differentiation rules, limit laws, key theorem statements, derivatives of all common functions, and more.


- Students taking Calculus 1 or Calculus 2 in college
- Students taking AP calculus in high school
- Students studying for exams in different fields who need to review calculus
- Anybody interested in learning calculus



Limits Intuition
Limit Operations
Factoring and Limits
Rationalizing and Limits
The Squeeze Theorem
Vertical Asymptotes
Horizontal Asymptotes
Relative Magnitude
One-Sided Limits


Continuity Intuition
Limit Definition of Continuity
Examples of Continuous Functions
The Composition Theorem
The Intermediate Value Theorem


Derivatives Intuition
Limit Definition of the Derivative
Derivative Operations
The Power Rule
The Quotient Rule
Differentiating Trigonometric Functions
The Chain Rule
Differentiating Exponential and Logarithmic Functions
Logarithmic Differentiation
Implicit Differentiation
Tangent Lines
Related Rates
Linear Approximation
Higher Order Derivatives
Maxima and Minima
The Mean Value Theorem
L’Hopital’s Rule

---The Integral ---

Riemann Sums
Summation Notation
Definition of the Integral
Fundamental Theorem of Calculus
Properties of the Integral
Integral Versus Area
The Integral Function

--Integration Techniques---

Polynomial Integration
Exponential Integration
Trig function integration
Even and odd functions
Bounds and U-substitution
Multiple trig functions
Integration by parts
Trigonometric substitution
Partial fraction decomposition
Discontinuities and absolute values
Improper integrals

---Applications of Integration---

Arc Length
Differential Equations


Convergence limit definition
Telescoping series
Geometric series
Harmonic series
Divergence test
Comparison test
Limit comparison test
Ration test
Root test
Integral test
Alternating series test
Absolute and conditional convergence

---Taylor Series---

Series with variables
Taylor series intuition
Partial Taylor series
Full Taylor series
Shifted Polynomials
Taylor series operations
Radius of convergence


Knowvio apps are developed for students by students at the University of Chicago

What’s New

Version 1.4.1

-More quiz content
-More videos
-More formula sheets
-UI tweaks
-Bug fixes

Ratings and Reviews

4.8 out of 5
20 Ratings

20 Ratings

Santiago7878 ,

Rescued my calc grade

When the school year first started I was following my class all right, but then things got harder and my grade started dropping. Since I downloaded this app and started using it four to five times a week my grade has been improving and I've been understanding the material much better.

Saragreen44 ,

Great app for calculus

I'm taking calculus right now and I've got to say that this is by far the best calculus app on the App Store. It is very thorough and precise yet the content is packaged in a way that makes it approachable and easier to learn than in my lectures. I highly recommend this app it is definitely worth five dollars!

Vjjgffjkhgedjjhg ,

5 star app

Grade A videos! Dev also gives very very quick response if you have any issues. I didn't turn my phone off silent so even though the volume was up it still didn't play any sound. This is not a movie theater so take your phone off silent lol


Knowvio LLC
31.5 MB

Requires iOS 8.0 or later. Compatible with iPhone, iPad, and iPod touch.



Age Rating
Rated 4+
© Knowvio 2015
In-App Purchases
  1. Premium $4.99


  • Family Sharing

    With Family Sharing set up, up to six family members can use this app.

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