# Solving Methods for Math Problems

SnapXam's AI-powered math solver allows you to solve complex math problems, with detailed step-by-step explanations. Some math problems can be solved using multiple methods (including your teacher's method ;) ).

For these problems, we allow you to choose your preferred solving method. We understand that solving a math problem using the right method is almost as important as getting the answer right. This is especially important when learning new concepts, as the same answer to a problem can be arrived by using different methods or techniques.

In this article, we present the different solving methods that our math solver currently support.

## Algebra

Supported solving methods for algebra problems include: Product of Binomials with Common Term, FOIL method.

### Examples

1. Product of two binomials:

$\left(x+1\right)\left(x-4\right)$

2. Product of two binomials:

$\left(3x+5\right)\left(2x+3\right)$

## Trigonometric Identities

Supported solving methods for trigonometric identities include: Prove from LHS, Prove from RHS, Express everything into Sine and Cosine.

### Examples

1. Prove the identity:

$\cot\left(x\right)\cdot\sec\left(x\right)=\csc\left(x\right)$

2. Prove the identity:

$\tan\left(x\right)+\cot\left(x\right)=\sec\left(x\right)\cdot\csc\left(x\right)$

## Limits

Supported solving methods for limits include: Limits by factoring, Limits by rationalization, Limits by L'Hôpital's rule.

### Examples

1. Find the following limit:

$\lim_{x\to\:10}\left(\frac{\sqrt{x+6}-4}{x-10}\right)$

2. Find the following limit:

$\lim_{x\to\:5}\left(\frac{x^2-25}{x-5}\right)$

## Differential Calculus

Supported solving methods for derivatives include: Basic differentiation rules, Logarithmic Differentiation. Logarithmic Differentiation is especially useful when the function we want to differentiate is kind of complex since we can simplify it beforehand using logarithmic properties.

### Examples

1. Find the derivative:

$\frac{d}{dx}\left(2x+1\right)^5\left(x^4-3\right)^6$

2. Find the derivative:

$\frac{d}{dx}\left(\frac{\left(x^5+3x\right)^4}{\cos\:x}\right)$

3. Find the derivative:

$\frac{d}{dx}\left(\sin\left(2x\right)\right)$

## Integral Calculus

Supported solving methods for integrals include: Integration by u-substitution, Integration by Parts, Tabular Integration, Integration by Partial Fraction Expansion, Integration by Trigonometric Substitution, Weierstrass Substitution.

### Examples

1. Solve the following integral:

$\int\frac{x}{x^2-1}dx$

2. Solve the following integral:

$\int\frac{1}{2sin\left(x\right)cos\left(x\right)}dx$

3. Solve the following integral:

$\int x^2sin\left(x\right)dx$

## Do you have a solving method in mind that you would like us to add?

We constantly add more solving methods for math problems.
You can tell us about it here.