Fundamental Theorem of Calculus

Fundamental Theorem of Calculus basically shows the relation between differentiation and integration. The theorem has two parts: Part I: First Fundamental Theorem of Calculus (FTC1 ) Part 2: Second Fundamental Theorem of Calculus (FTC2) FTC1 states that differentiation and integration are an inverse of each other. It also relates antiderivative concept with area problem. To […]

How to do Partial Fraction Decomposition?

Partial Fraction Decomposition is an algebraic technique to convert a complex rational function into a sum of simple rational fractions. A rational function is the division of two polynomials. In some cases where the degree of the denominator is greater than or equal to the numerator, direct integration is quite difficult. To deal with such […]

How to do Integration by parts?

Calculus involves problems of integration. Many times we come across the integration of the product of two types of functions, such as algebraic(A) and trigonometric(T) functions (like x.sin x), exponential (E) and algebraic (A) functions (like x.ex) and much more. To integrate such products, we use the method of integration by parts. Integration by parts […]