Integral Calculus Courses and Certifications

Basic Math: Integrals

Master integral calculus: compute primitives of rational and pseudo-immediate functions, apply change of variables and integration by parts, and use definite integrals to find areas.

• Coursera
• 7 weeks, 2 hours a week
• Self-Paced
• Paid Course

Calculus 1B: Integration

Compute integrals symbolically and numerically, interpret them as area and accumulation, link them to derivatives, and solve differential equation models of physical phenomena.

• MITx Online
• 15 weeks, 5-10 hours/week
• Self-Paced
• Free Online Course

3Blue1Brown

Integration and the Fundamental Theorem of Calculus

An intuitive, visual explanation of why integrals measure signed area and reverse differentiation, using a moving car’s velocity to motivate the fundamental theorem of calculus.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - The Natural Log Function

Explore the natural log function in this focused Calculus 2 lecture.

• YouTube
• 2 hours 23 minutes
• Self-Paced
• Free Video

Michael Penn

Interesting Integrals

Explore advanced integration techniques through challenging problems featuring logarithmic, trigonometric, and special function integrals with creative solution methods.

• YouTube
• 17 hours 43 minutes
• Self-Paced
• Free Video

Math Fundamentals: Integrals

The concept of primitive, (pseudo)immediate primitives, change of variable, integration by parts and definite integral applied to calculus of areas are reviewed.

• edX
• 5 weeks, 4-5 hours a week
• Self-Paced
• Free Online Course (Audit)

Calculus 2 - Full College Course

1 rating

Work through second-semester calculus: areas and volumes of revolution, integration by parts and trig substitution, improper integrals, convergence tests, Taylor and power series, parametric and polar curves.

• freeCodeCamp
• 7 hours
• Self-Paced
• Free Video

blackpenredpen

Ultimate Integral Starter - U-Substitution, Integration by Parts, Trig Sub, Partial Fractions & More

1 rating

A study guide works through 50 integrals using substitution, integration by parts, trigonometric identities, and partial fraction decomposition.

• YouTube
• 5 hours 57 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus of Polar Equations

Learn to calculate areas bounded by a polar curve and areas between two polar curves.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Techniques for Trigonometric Integrals

Learn techniques for evaluating trigonometric integrals in this focused Calculus 2 lecture.

• YouTube
• 2 hours 21 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus of Inverse Trigonometric Functions

A focused Calculus 2 lecture on the calculus of inverse trigonometric functions.

• YouTube
• 1 hour 53 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Finding the Length of a Curve on a Plane

Calculus 1 lecture on finding the length of a curve on a plane.

• YouTube
• 2 hours 18 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Volume of Solids By Cylindrical Shells Method

Learn to calculate volumes of solids of revolution using the cylindrical shells method in a Calculus 1 lecture.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Volume of Solids By Disks and Washers Method

Find volumes of solids of revolution using the disk and washer methods.

• YouTube
• 2 hours 48 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Integration by Substitution

A Calculus 1 lecture explaining integration by substitution, a method for evaluating integrals.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video