What is the integral of sin x from 0 to 2pi?

Using the definition of the integral and the fact that sinx is an odd function, from 0 to 2π , with equal area under the curve at [0,π] and above the curve at [π,2π] , the integral is 0 .

What is the integration of sin theta from 0 to pi?

Thus, the integral of sin x from 0 to π is 2.

What is the integral of sine of x?

The integral of sinx is −cosx+C and the integral of cosx is sinx+C.

What is the integration of sin x 2 in the limit 0 to π 2?

Therefore, the integral of sin2x from 0 to π is π/2.

What is integral of sin 2x?

The integral of sin^2x dx is written as ∫ sin2x dx and ∫ sin2dx = x/2 – (sin 2x)/4 + C. Here, C is the integration constant.

What is the integral of sin 2 x?

Answer: The integral of sin2x is x/2 – (sin2x)/4 + c .

What is the integral of sin wt?

The integration value is sin (wt) = -cos (wt)/w.

What is the integral of sin(x) from 0 to 2pi?

What is the integral of sin (x) dx from 0 to 2pi? Using the definition of the integral and the fact that sinx is an odd function, from 0 to 2π, with equal area under the curve at [0,π] and above the curve at [π,2π], the integral is 0.

What is the value of the integral of SiNx?

Using the definition of the integral and the fact that #sinx# is an odd function, from #0# to #2pi#, with equal area under the curve at #[0, pi]# and above the curve at #[pi, 2pi]#, the integral is #0#. This holds true for any time #sinx# is evaluated with an integral across a domain where it is symmetrically above and below the x-axis.

Is the integral of Sine the area under the curve?

Canned response: “As with any function, the integral of sine is the area under its curve.” Geometric intuition: “The integral of sine is the horizontal distance along a circular path.” Option 1 is tempting, but let’s take a look at the others. Why “Area Under the Curve” is Unsatisfying

What is integral integration in calculus?

Integration is an important tool in calculus that can give an antiderivative or represent area under a curve. The indefinite integral of f (x) f ( x), denoted ∫ f (x)dx ∫ f ( x) d x , is defined to be the antiderivative of f (x) f ( x).