Skip to main content
Super TutorResources
Chapter 13 of 27
SyllabusNotesTopicsQuestionsPlanFormulas
Formula Sheet

Integrals — Formula Sheet

HP CET · Mathematics

Free Integrals formula sheet for HP CET Mathematics 2026 — all important formulas, equations, and constants for quick reference.

Interactive on Super Tutor

Studying Integrals? Get the full chapter — free.

Practice questions, revision notes, formula sheet and AI doubt-solver — built for HP CET Mathematics.

Try Super Tutor — Free
An illustration showing how integral calculus is used to define and calculate the area of a region bounded by the graph of a function, the x-axis, and vertical lines. Highlight the concept of approxim
Super Tutor

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started

Formula Sheet — Integrals

Important formulas and equations from Integrals for HP CET Mathematics.

Formulas — Integrals

Basic Integration Formulas

∫xⁿ dx = x^(n+1)/(n+1) + C
∫(1/x) dx = log|x| + C
∫eˣ dx = eˣ + C
∫aˣ dx = aˣ/log(a) + C

Trigonometric Integrals

∫sin x dx = -cos x + C
∫cos x dx = sin x + C
∫sec²x dx = tan x + C
∫tan x dx = log|sec x| + C

Integration by Substitution

∫f(ax + b) dx = (1/a)F(ax + b) + C
∫f'(x)/f(x) dx = log|f(x)| + C
∫[f(x)]ⁿ f'(x) dx = [f(x)]^(n+1)/(n+1) + C

Standard Integral Forms

∫dx/√(a² - x²) = sin⁻¹(x/a) + C
∫dx/(a² + x²) = (1/a)tan⁻¹(x/a) + C
∫dx/√(x² - a²) = log|x + √(x² - a²)| + C
∫dx/√(a² + x²) = log|x + √(a² + x²)| + C

Get the complete formula sheet with derivations — continue in Super Tutor

Frequently Asked Questions

What topics are covered in Integrals for HP CET?
Integrals is an important chapter in HP CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Integration Rules and Standard Forms, Integration by Substitution Method, Integration by Parts, Integration of Rational Functions by Partial Fractions.
How important is Integrals for HP CET?
Integrals is a frequently tested chapter in HP CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 750 practice questions available for this chapter.
How to prepare Integrals for HP CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

More resources for Integrals

All 27 chapters — HP CET Mathematics Formula Sheet

For HP CET aspirants

Get the full Integrals chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for HP CET Mathematics.

Try Super Tutor Free
Try the full chapter — Free