Abstract
This chapter discusses useful identities including trigonometric identities, and hyperbolic identities. Various complex relationships, constants, and derivatives of elementary functions are reviewed. Rules of differentiation and integration are reviewed. The chapter also discusses the standard integrals with the common standard forms; and reviews the integrands involving: algebraic functions, trigonometric functions, powers of x, and exponential and logarithmic functions. Various standard series like power series, trigonometric series, inverse trigonometric series, exponential series, and logarithmic series are reviewed. The chapter also discusses the geometry of a triangle, a parallelogram, a trapezium, a rhombus, a pyramid, and a tetrahedron. The area, arc, sector, segment, and annulus of a circle is reviewed. Also, the area, volume, and centroid of a right circular cylinder, a right circular cone, and a spherical sector are reviewed.
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