We discuss the details involved in differentiating an integral, examine the notation used and outline the proof that the result is just the integrand.

Differentiating integrals (MathsCasts)

Education

Training

Language Courses

Higher Education

K-12

Educational Technology

We solve simultaneously the equations of a plane and a cone and show that the intersections are circles, parabolas, ellipses, hyperbolas, straight lines or just the origin.

Why are circles, ellipses, parabolas and hyperbolas called 'conic sections'? Part 2 (MathsCasts)

Deals with the details of calculating Fourier series coefficients for a function.

Calculating a Fourier series (MathsCasts)

Demonstrates that symmetry of functions helps us to shorten the calculation of the integrals needed for the Fourier coefficients.

How do odd or even functions make calculation of Fourier series simpler? (MathsCasts)

Introduces the idea of half-range Fourier series and addresses the question of why we use them.

Differentiating integrals (MathsCasts)

Download our free app to listen on your phone