Calculus

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Ambiguous No More: The L’Hôpital’s Rule

Ambiguous No More: The L’Hôpital’s Rule

L’Hôpital’s Rule, named after the French mathematician Guillaume de l’Hôpital, who first published it in \( 1696 \), is a method in calculus for evaluating limits of indeterminate forms like  \( \frac{0}{0} \) or  \( \frac{\infty}{\infty} \). This rule is highly reliable when the conditions for its use are met and simplifies complex limit problems, […]

The Rules of Integral: Complex Subject Made Easy

The Rules of Integral: Complex Subject Made Easy

Integration is a fundamental concept in calculus, essential for understanding and solving problems involving areas, volumes, and a variety of applications in physics and engineering. The “Rules of Integration” provide systematic methods for integrating functions.

How to Integrate By Parts: Step-by-Step Guide

How to Integrate By Parts: Step-by-Step Guide

How to Find the Integral of Radicals

How to Find the Integral of Radicals

How to Find The Slope of Roots: Derivative of Radicals

How to Find The Slope of Roots: Derivative of Radicals

Reversing Derivatives Made Easy: Power Rule of Integration

Reversing Derivatives Made Easy: Power Rule of Integration

Fundamental Theorem of Calculus: A Principle That Saves Your Life

Fundamental Theorem of Calculus: A Principle That Saves Your Life

Trigonometric Integrals: A Thorough Guide On Everything You Need To Know

Trigonometric Integrals: A Thorough Guide On Everything You Need To Know

Substitution Rule of Integrals: Integral Problems Made Simple

Substitution Rule of Integrals: Integral Problems Made Simple

Derivative of Logarithmic Functions: A Hard Task Made Easy

Derivative of Logarithmic Functions: A Hard Task Made Easy

Differential Equations: Laws of The Universe Unraveled

Differential Equations: Laws of The Universe Unraveled

How to Find The Derivative of a Trigonometric Function

How to Find The Derivative of a Trigonometric Function