- #1
afcwestwarrior
- 457
- 0
of sin pi x dx
i thought it would be - cos pi x dx but i think it might be (1/pi) -cos pi x dx
i thought it would be - cos pi x dx but i think it might be (1/pi) -cos pi x dx
Well, there is you problem then: it isn't. Use the chain rule.afcwestwarrior said:it's - sin (pi x)
The indefinite integral, also known as the antiderivative, is a mathematical concept that represents the reverse process of differentiation. It is used to find the original function when given its derivative.
An indefinite integral does not have upper and lower limits, so it represents a family of functions rather than a single value. A definite integral, on the other hand, has specific limits and represents a single value.
The most common methods for finding an indefinite integral are the power rule, substitution, integration by parts, and trigonometric substitution. Other methods include partial fractions, trigonometric identities, and logarithmic differentiation.
The constant of integration is necessary because when we take the derivative of a constant, it becomes 0. Therefore, when we find an indefinite integral, we add the constant to represent all possible solutions that could have been differentiated to get the given function.
The indefinite integral can be used to find the area under a curve between two points on a graph. This is known as the definite integral. The area under the curve is represented by the definite integral of the function between the two given points.