Definite and Indefinite integrals. Integration of algebraic and transcendental functions. Integration of inverse functions. Fundamental Theorem of calculus. Methods of integration. Conic Sections: Parabola, Ellipse, and Hyperbola. Applications of definite integral: Area, Arc length, Surface area, and volume of the solid of revolution. Lines and planes in three dimensions. Vector equations of lines and Planes in space. Quadric Surfaces: ellipsoid, paraboloid, and hyperboloid. Applications
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