### Integration of some special irrational algebraic functions

In this section,Â we shall discuss four integrals of the formÂ $latex \displaystyle \int { \frac { \phi \left( x \right) …

Read More### Integration using Partial fraction

Type I When the denominator is expressible as a product of linear factors $latex \displaystyle \int { \frac { x-1 …

Read More### Partial Fraction

InÂ theÂ partial fraction decompositionÂ orÂ partial fraction expansionÂ of a rational number (that is, a fractionÂ such that the numerator and the denominator are both …

Read More### Integration of various types (By Parts)

Type I : Integration of the formÂ $latex \displaystyle \int { { e }^{ x } } \left\{ f\left( x \right) …

Read More### Integration of various types (Substitution)

Type I:Â $latex \displaystyle \int { \sin ^{ m }{ x } .\cos ^{ n }{ x } } dx &s=2 …

Read More### Some Special Integrals

Some Special Integrals Some of the special integrals in derived form to be used where it will be applicable : …

Read More### Integration by Parts

Theorem: If u and v are two functions of x, then $latex \displaystyle\int { uv } dx=u\left( \int { vdx …

Read More### Frequently used formula in Integration

In any fundamental integral formulas given below if in place of it we have (ax+b), then the same formula is …

Read More### Integration by substitution

If g(x) is continuously differentiable function, then to evaluate integrals of form, $latex \displaystyle I=\int { f\left( g\left( x \right) …

Read More### Fundamental Integration formulas

Since ,Â $latex \displaystyle \frac { d }{ dx } \left\{ g\left( x \right) \right\} =f\left( x \right) \quad \Leftrightarrow \int …

Read More### Indefinite Integrals

Primitive Or Anti derivative A functionÂ $latex \displaystyle \phi \left( x \right) &s=1 $ is called a primitive of a function …

Read More