Struct IntegrationMethods 

pub struct IntegrationMethods;

Integration methods collection

Implementations

impl IntegrationMethods

pub fn by_parts( expr: &Expression, variable: Symbol, ) -> Result<Expression, MathError>

Attempt integration by parts

Uses the IntegrationByParts module to attempt integration by parts.

Errors

Returns MathError::NotImplemented if integration by parts cannot be applied or if no antiderivative can be found.

Examples

use mathhook_core::Expression;
use mathhook_core::symbol;
use mathhook_core::calculus::integrals::IntegrationMethods;

let x = symbol!(x);
let expr = Expression::mul(vec![
    Expression::symbol(x.clone()),
    Expression::function("exp", vec![Expression::symbol(x.clone())])
]);
let result = IntegrationMethods::by_parts(&expr, x);

pub fn substitution( expr: &Expression, variable: Symbol, ) -> Result<Expression, MathError>

Attempt integration by substitution

Uses u-substitution to integrate composite functions f(g(x)) where the derivative g’(x) appears in the integrand.

Errors

Returns MathError::NotImplemented if no suitable substitution can be found.

Examples

use mathhook_core::{Expression, Symbol};
use mathhook_core::symbol;
use mathhook_core::calculus::integrals::IntegrationMethods;

let x = symbol!(x);
let expr = Expression::function("sin", vec![
    Expression::pow(Expression::symbol(x.clone()), Expression::integer(2))
]);
let result = IntegrationMethods::substitution(&expr, x);