Integral Calculus - MU

Foundations of Integration: Evaluating definite/indefinite integrals using the Fundamental Theorem of Calculus, Riemann Sums, and numerical integration (Trapezoidal/Simpson’s rules).Transcendental Integration: Differentiating and integrating logarithmic, exponential, trigonometric, hyperbolic, and inverse hyperbolic functions.Techniques of Integration: Solving complex integrals via Integration by Parts, Trigonometric Substitution, Partial Fractions, and completing the square.Applications of Integrals: Finding the area of bounded regions, volume of solids of revolution (Disk/Washer/Shell methods), arc length, and work.Improper Integrals: Dealing with indeterminate forms (L'Hôpital's extensions) and integrals with infinite limits or discontinuous integrands