Learn Calculus (Best Online Course) - Solved examples

Name: Learn Calculus (Best Online Course) - Solved examples
Rating: 5.0 (1 reviews)

Solutions to the Calculus problems in a easy way.

Created byRajan Gosavi (Gold Medalist , M.Tech. )

Last updated 7/2025

English

What you'll learn

You will learn about basic examples on Differential equations
You will learn about basic examples on Integration
You will learn about basic examples on Applications of Integration
You will learn about basic examples on Applications of derivatives

Course content

6 sections • 63 lectures • 6h 45m total length

Differential Equations - 26:09
Differential Equations - 37:01
Differential Equations - 44:09
Apply the separable variables method to solve differential equations, cross-multiplying and integrating to obtain the general solution, illustrated by two examples ending in an arcsin relation.
Differential Equations - 55:36
Explore solving differential equations by substitution to reduce to separable form, derive and integrate using v = 4x + y + 1, leading to the general solution.
Differential Equations - 66:35
Learn to identify exact differential equations of the form m dx + n dy = 0 by verifying ∂m/∂y = ∂n/∂x and applying the integration method to find the solution.
Differential Equations - 84:26
Differential Equations - 910:33
Differential Equations - 104:19
Explore linear differential equations of first degree and solve them with integrating factors for dy/dx and dx/dy forms, with tan x and tan inverse x examples.
Differential Equations - 115:20
Differential Equations - 125:36
Differential Equations - 133:58
Differential Equations - 148:43
Learn to solve homogeneous differential equations by using the substitution y/x = v, converting to separable form and integrating to obtain the general solution.

Integration -12:56
Integration - 21:52
Integration -45:11
Practice integration by substitution with sin x and cos x. Substitute t = cos x or t = sin x to transform integrals into polynomials and get -cos 2x/3.
Integration -54:45
Integration -62:54
Integration -72:02
Integration -94:16
Integration -104:32
Integration - 111:21
Integration by Partial Fraction - 15:27
Integration by Partial Fractions - 26:28
Integration by Partial Fractions - 34:57
Integration by partial fractions - 410:28
Integration by Parts - 12:34
Integration by Parts - 22:20
Integration by Parts - 34:10
Integration by Parts - 43:07
Integration by Parts - 54:46
Apply integration by parts to compute integrals of x cos 2x and x e raised to two x by choosing u and dv and using uv minus ∫ v du.
Integration by Parts - 66:23
Integration by Parts - 74:40
Integration by Parts - 84:43

Basic examples on Rules of the derivatives13:38
Examples on Product Rule of the derivatives - 113:15
Master the product rule for derivatives with two- and three-function cases, using examples like x e^x, x log x, and x^2 5^x cos x.
Examples on Quotient Rule of derivatives13:24
Learn the quotient rule for derivatives, using dy/dx = (v du/dx − u dv/dx)/v^2, with examples like (x+1)/(x−1) and sin x/(1−cos x) to illustrate step-by-step differentiation.
Chain Rule of derivatives - 110:38
Chain Rule of derivatives - 212:19
Chain Rule of derivatives - 311:00
Explore the chain rule with direct method to differentiate dy/dx for functions raised to n, inner substitutions, and exponential, sine, and square-root examples.
Examples on derivatives of Inverse Trigonometric Functions15:09
Examples on derivatives of Implicit functions27:35
Examples on derivatives of one function w.r.t. other13:43

Requirements

Knowledge of basic theory & formulas on Trigonometry , derivatives , integration

Description

Mastering Calculus: From Derivatives to Differential Equations!

Are you ready to conquer the challenging world of calculus with ease? This comprehensive course is designed to guide you through the fundamental concepts of calculus, including derivatives, differential equations, integration, and their practical applications.

In this course, we will break down complex topics into simple, digestible lessons. You'll start with understanding derivatives, learning how to differentiate various types of functions and apply these skills to solve real-world problems. We'll explore the power of derivatives in analyzing and optimizing functions, providing you with practical tools for a wide range of applications.

Next, we delve into differential equations, where you'll learn how to formulate and solve these equations, essential for modeling numerous physical and engineering systems. Our step-by-step approach ensures that even the most daunting problems become manageable.

Integration, the inverse process of differentiation, will be our next focus. You'll master techniques of integration and learn how to apply them to compute areas, volumes, and solve practical problems. Finally, we’ll explore the fascinating applications of integration in various fields, solidifying your understanding and enhancing your problem-solving skills.

This course is perfect for students, professionals, or anyone looking to build a strong foundation in calculus. By the end, you'll be equipped with the knowledge and confidence to tackle calculus challenges head-on. Join us on this journey to mastering calculus!

Who this course is for:

For all those who want to learn the CALCULUS basic examples in an innovative way !!!

Learn Calculus (Best Online Course) - Solved examples

What you'll learn

Explore related topics

Course content

Introduction12 lectures • 1hr 12min

Solved examples on Integration21 lectures • 1hr 30min

Definite integration6 lectures • 46min

Solved examples on Applications of integration6 lectures • 29min

Solved examples on Derivatives or Differentiation9 lectures • 2hr 11min

Applications of derivatives9 lectures • 38min

Requirements

Description

Who this course is for: