# Integral Calculus Take the next step on the calculus journey with integrals and sums. 29 Lessons

## Infinite Series

#### Course description

In a sense, differential calculus is local: it focuses on aspects of a function near a given point, like its rate of change there. Integral calculus complements this by taking a more complete view of a function throughout part or all of its domain.

This course provides complete coverage of the two essential pillars of integral calculus: integrals and infinite series. By the end, you'll know their core principles and how to apply them to problems in geometry, probability, and physics.

#### Topics covered

• Applications of infinite sums
• Applications of integrals
• Convergence tests
• Integration by parts
• Partial fractions
• Polynomial integrals
• Power series
• Riemann sums
• Substitution rule
• The Fundamental Theorem
• Transcendental integrals
• Trigonometric integrals

#### Prerequisites and next steps

You’ll need an understanding of algebra and the basics of functions, such as domain and range, graphs, and intercepts. You should also be familiar with exponential functions, logarithms, and basic trigonometric identities. A strong understanding of differential calculus is a must.