KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Integration & Accumulation of Change Chapter: Fundamental Theorem of Definite Integral Reference: – Antiderivatives, Indefinite integrals, Definite integrals, Fundamental theorem of Calculus, Part 1 & Part 2 of FTC, Evaluation using Antiderivatives, Reverse power rule, Initial value problem, Area under the curve, Mean value theorem & […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Integration & Accumulation of Change Chapter: Approximation Integrals using Riemann Sums Reference: – Riemann sums, Partition of an interval, Left & Right Riemann sum, Midpoint, Lower & Upper Riemann sums, Rectangular & Trapezoidal approximations, Composite Riemann sums, Width & Subintervals, Error Estimation. After studying this […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Integration & Accumulation of Change Chapter: Accumulation Change over an Interval Reference: – Riemann sums, Definite integrals, Fundamental theorem, Antiderivatives, Area under a curve, Accumulation functions, Average value of functions, Mean value theorem for Integrals, Properties & Estimation, Trapezoidal rule, Simpson’s Rule, Application & Motion problems. […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Integration & Accumulation of Change Chapter: Properties of Integrals & Techniques Reference: – Riemann sums, Definite integrals, Fundamental theorem, Antiderivatives, Area under a curve, Accumulation functions, Average value of functions, Mean value theorem for Integrals, Properties & Estimation, Trapezoidal rule, Simpson's Rule, Application & Motion problems. […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Integration & Accumulation of Change Chapter: Antiderivatives & Indefinite Integrals Reference: – Antiderivatives, Indefinite integrals, Power rule, Constant Multiple rules, Sum & Difference rule, Integration by Substitution & Parts, Trigonometric integrals, Partial fraction decomposition, Rational function Integrals, Improper integrals, Application of Antiderivatives & Indefinite integrals. […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Integration & Accumulation of Change Chapter: Fundamental Theorem of Definite Integral Reference: – Antiderivatives, Indefinite integrals, Definite integrals, Fundamental theorem of Calculus, Part 1 & Part 2 of FTC, Evaluation using Antiderivatives, Reverse power rule, Initial value problem, Area under the curve, Mean value theorem & […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Integration & Accumulation of Change Chapter: Approximation Integrals using Riemann Sums Reference: – Riemann sums, Partition of an interval, Left & Right Riemann sum, Midpoint, Lower & Upper Riemann sums, Rectangular & Trapezoidal approximations, Composite Riemann sums, Width & Subintervals, Error Estimation. After studying this […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Integration & Accumulation of Change Chapter: Accumulation Change over an Interval Reference: – Riemann sums, Definite integrals, Fundamental theorem, Antiderivatives, Area under a curve, Accumulation functions, Average value of functions, Mean value theorem for Integrals, Properties & Estimation, Trapezoidal rule, Simpson’s Rule, Application & Motion problems. […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Analytical Application of Differentiation Chapter: Optimization & Implicit Relations Reference: – Lagrange Multipliers, Optimization problems involving functions, Global maximum & minimum points, Critical points & Significance, Implicit differentiation with Inverse functions, Normal lines to implicit curves, Higher Dimensions, Interpreting & Analysing equations. After studying this […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Analytical Application of Differentiation Chapter: Graph of Functions & Derivatives Reference: – Cartesian Coordinate system, Interpretation of a function, Domain & Range, Graphical representation, Symmetry of functions, Transformations of functions, Even and odd functions, Global extrema on the graph, Graphical Interpretation of derivatives. After studying […]