Rajini said:So answer would be -b exp[(a-x)/b] + C...
Is this correct!
The purpose of solving exp-[(x-a)/b]dx is to find the anti-derivative of the given expression. This will allow us to evaluate the function at different values of x and determine its behavior over a range of values.
"exp" is a mathematical notation for the exponential function, which is commonly written as e^x. In this expression, it indicates that the function we are solving involves an exponential term.
The variable "a" acts as a constant in this expression and shifts the function horizontally. This means that the solution will be affected by the value of "a" and will result in a different function with a different horizontal position.
The variable "b" acts as a scaling factor in this expression and determines the rate at which the function changes. A larger value of "b" will result in a steeper curve, while a smaller value of "b" will result in a flatter curve.
Yes, there are a few special cases to consider when solving this expression. If the value of "b" is equal to 0, then the expression becomes undefined. Additionally, if the value of "b" is negative, it will result in a reflection of the function over the y-axis.