shamieh said:the 2 cancels out with the 2z doesn't it? i think i see where i made my mistake
An integral is a mathematical concept that represents the area under a curve or the accumulation of a quantity over an interval. It is used to find the total value of a function over a given interval.
To evaluate an integral, you can use various techniques such as substitution, integration by parts, or partial fractions. You can also use online calculators or software to compute the integral numerically.
A definite integral has specific limits of integration and results in a numerical value, while an indefinite integral does not have limits and results in a function. A definite integral represents the area under the curve, while an indefinite integral represents the antiderivative of a function.
Integrals have various applications in real life, such as in physics to calculate displacement, velocity, and acceleration, in engineering to find the area under the stress-strain curve, and in economics to calculate total revenue or profit.
Some common mistakes when evaluating an integral include forgetting to add the constant of integration, making incorrect substitutions, and forgetting to use the chain rule when integrating composite functions. It is important to double-check your work and practice regularly to avoid these mistakes.