# Rubi Integration Test Suite

## Expressed In Axiom Syntax

This page provides links to text files containing the Rubi Integration Test Suite expressed in Axiom syntax. Each problem is stored as a list of the following items:

1. the integrand;
2. the integration variable;
3. the number of rule applications required to integrate the integrand; and
4. the optimal antiderivative.

The optimal antiderivatives in the test suite are just the simplest ones found so far. If you find significantly simpler antiderivatives and want to contribute them to the test suite, please email them to Albert Rich.

Integration problems from independent test suites:

Integration problems involving rational and algebraic functions:

Problems involving powers of linear binomials:

Problems involving powers of quadratic binomials:

Problems involving powers of general binomials:

Problems involving powers of improper binomials:

Problems involving powers of quadratic trinomials:

Problems involving powers of quartic trinomials:

Problems involving powers of general trinomials:

Problems involving powers of improper trinomials:

Miscellaneous rational and algebraic function problems:

Integration problems involving exponentials:

Integration problems involving logarithms:

Integration problems involving trig functions:

Sine function problems:

• Download (a+b sin(e+f x))m (c+d sin(e+f x))n (A+B sin(e+f x)+C sin(e+f x)2)

Cosine function problems:

• Download (a+b cos(e+f x))m (c+d cos(e+f x))n (A+B cos(e+f x)+C cos(e+f x)2)

Tangent function problems:

• Download (a+b tan(e+f x))m (c+d tan(e+f x))n (A+B tan(e+f x)+C tan(e+f x)2)

Cotangent function problems:

Secant function problems:

• Download (a+b sec(e+f x))m (d sec(e+f x))n (A+B sec(e+f x)+C sec(e+f x)2)

Cosecant function problems:

• Download (a+b csc(e+f x))m (d csc(e+f x))n (A+B csc(e+f x)+C csc(e+f x)2)

Miscellaneous trig function problems:

Integration problems involving inverse trig functions:

Inverse sine function problems:

Inverse cosine function problems:

Inverse tangent function problems:

Inverse cotangent function problems:

Inverse secant function problems:

Inverse cosecant function problems:

Integration problems involving hyperbolic functions:

Hyperbolic sine function problems:

Hyperbolic cosine function problems:

Hyperbolic tangent function problems:

Hyperbolic cotangent function problems:

Hyperbolic secant function problems:

Hyperbolic cosecant function problems:

Miscellaneous hyperbolic function problems:

Integration problems involving inverse hyperbolic functions:

Inverse hyperbolic sine function problems:

Inverse hyperbolic cosine function problems:

Inverse hyperbolic tangent function problems:

Inverse hyperbolic cotangent function problems:

Inverse hyperbolic secant function problems:

Inverse hyperbolic cosecant function problems:

Integration problems involving special functions: