- #1
donglepuss
- 17
- 4
- Homework Statement
- integral of x^12 sinx dx
- Relevant Equations
- answer: x^12 -cosx - 12x^11 sinx - cosx (132x^11/11)
integral of x^12 sinx dx = x^12 -cosx - 12x^11 sinx - cosx (132x^11/11)
No, it's not.donglepuss said:Homework Statement: integral of x^12 sinx dx
Homework Equations: answer: x^12 -cosx - 12x^11 sinx - cosx (132x^11/11)
integral of x^12 sinx dx = x^12 -cosx - 12x^11 sinx - cosx (132x^11/11)
An integral is a mathematical concept that represents the area under a curve in a graph. It is commonly used in calculus to calculate the total value of a function over a specific interval.
An integral is considered correct if it follows the fundamental theorem of calculus, which states that the integral of a function is equal to the antiderivative of that function. This can be verified through various methods such as substitution, integration by parts, or using a table of integrals.
The most common mistake when solving integrals is forgetting to include the constant of integration. Other mistakes include mixing up the limits of integration, not properly simplifying the integral, and making algebraic errors.
There are many online calculators and software programs that can help you check your integral. These tools can solve the integral and show you the steps involved, allowing you to compare your own work and identify any mistakes.
Some tips for solving integrals efficiently include memorizing common integrals, using substitution to simplify complex integrals, and practicing regularly. It is also helpful to review the fundamental properties of integrals, such as linearity and the power rule.