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Integral Calculus Course

Integral Calculus Course
flexible workload from 4 to 360h
valid certificate in your country

What will I learn?

This Integral Calculus Course builds solid skills in improper integrals, Gamma and Gaussian integrals, and parameter-dependent integration. You will master dominated convergence, Fubini and Tonelli, differentiation under the integral sign, and heat-kernel convolution. Through focused, worked examples, you quickly gain practical tools for probability densities, expectations, variances, and moment-generating functions.

Elevify advantages

Develop skills

  • Master improper integrals: apply dominated convergence and Fubini with rigor.
  • Use Gamma and Gaussian integrals: normalize densities and compute moments fast.
  • Analyze heat kernels: derive, normalize, and use convolution for smoothing.
  • Differentiate under the integral sign: justify swaps and handle parameters cleanly.
  • Compute expectations and variances: evaluate density integrals with recurrence tools.

Suggested summary

Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

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