sinx dx
The expression “sinx dx” represents an integral in calculus
The expression “sinx dx” represents an integral in calculus. To understand this, let’s break it down:
1. Sinx: The term “sinx” stands for the sine function with a variable x. The sine function calculates the ratio of the length of the side opposite an angle in a right triangle to the length of the hypotenuse. It is typically abbreviated as sin(x), where x is the angle in radians.
2. dx: The term “dx” represents an infinitesimally small change in the x variable. It is used to indicate that we are integrating with respect to the variable x.
When we have the expression “sinx dx”, it means we are calculating the integral of the sine function with respect to x. In mathematics, integration is a fundamental operation that calculates the area under a curve or the accumulation of changes over a certain interval.
To evaluate the integral of sinx, we can use the integral rules and techniques. The integral of sinx is typically denoted as ∫ sinx dx. The result of integrating sinx is -cosx + C, where C represents the constant of integration.
So, the integral of sinx with respect to x is:
∫ sinx dx = -cosx + C
This means that when we take the derivative of -cosx + C with respect to x, we will obtain sinx.
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