Topics in Integral Calculus

The document contains the contents.

The document contains the preface.

The document contains Important Results and Formulae.

"Integral Calculus is the inverse (i.e., opposite) of Differential Calculus."
The primary problem of Differential Calculus is :
Given a function ; to find its differential coefficient.
But the primary problem of Integral Calculus is the
Converse : Given the differential coefficient of a function ; to form the function.

The document contains the chapter Integration by Substitution

The document contains the chapter Integration by Parts.

A polynomial in x is a function of the form
a~ + a1xn-1 + azcn-2 + ... + an,
where a0, al' a 2, ••• , an are constants, and n is a positive integer

The document contains the chapter Integration of Irrational Algebraic Functions.

The document contains the chapter Integration of Trigonometric Functions.

A reduction formula for an integral is a formula which connects the integral with one or two other integrals in which the integrand is of the same type but of lower degree or lower order.

The document contains the chapter Definite Integrals.

The document contains the chapter Rectification and Intrinsic Equation.

The document contains chapter Quadlrature.

The document contains chapter Volume and Surface of a Solid of Revolution.

The document contains chapter Differential Equations of the First Order and First Degree.

The document contains chapter Linear Equations with Constant Coefficients.

The document contains the answers.