Integral Practice

Listen up — integral calculus is won or lost on one thing: can you spot, in an instant, WHICH FORMULA to use and WHAT to substitute?

We've taken the "Integral Worksheets You Absolutely Cannot Afford to Miss" that we hand out in class every week, and made them solvable right on your phone.

This is not a cold answer key that just lists calculation steps. Every explanation includes the 【Key Insight】 and 【Thinking Tips】 I would normally be passionately explaining at the blackboard — "why choose integration by parts here?" "why substitute the entire radical?" No need to carry a thick reference book, either. You can get the full cram-school intensive on the train, or in any spare moment.

【WHAT MAKES THIS APP (AND THESE WORKSHEETS) SPECIAL】

【Hand-Picked】Only the problems that matter
Substitution, integration by parts, rational and irrational functions, and definite integrals using the properties of even and odd functions — we cover every essential pattern that any STEM-track student absolutely must master.

【Explanations】No more "I can't follow the gaps"
"Let t = x + 1." "Notice that the derivative of the denominator is sitting right there in the numerator!" We navigate you through the very first step of each calculation. We've eliminated the thing self-studiers struggle with most: "how on earth did they get from that line to the next one?"

【Time-Savers】Techniques for "cheating" at calculation
How to tell even and odd functions apart, and other practical tricks — we hand you the techniques to instantly finish problems that would otherwise eat up your time, using the properties of definite integrals.

【WHO THIS IS FOR】
・You calculate integrals slowly and run out of time on tests
・You read the explanation and still wonder "why did they set that expression equal to t?"
・You're busy with club activities and can rarely find time to open a textbook
・You want to conquer calculus on your own!

Integration is a sport of memorization and repetition. Learn the right way to look at a problem, keep putting pen to paper, and it will never let you down.
So go on — open this app and solve one problem right now.