What is integral of cos 5x?

Explanation : =∫(cos5x)dx. From trigonometric identity, which is. cos2x+sin2x=1 , ⇒cos2x=1−sin2x.

What is integral of COSX with respect to X?

The integral of cos(x) with respect to x is sin(x) .

What is the integral for COS X?

sin x + C
What is the Integral of Cos x? The integral of cos x is sin x + C. i.e., ∫ cos x dx = sin x + C.

What is cos integrated?

By the fundamental theorem of calculus and the fact that the derivative of sin(x) is cos(x), we have that the integral of cos(x) is sin(x) + C, where C is a constant.

How do you calculate a definite integral?

To evaluate the definite integral, perform the following steps: Graph the function f(x) in a viewing window that contains the lower limit a and the upper limit b. To get a viewing window containing a and b, these values must be between Xmin and Xmax. Set the Format menu to ExprOn and CoordOn. Press [2nd][TRACE] to access the Calculate menu.

What is the application of integral calculus?

Applications of integral calculus include computations involving area, volume, arc length, center of mass, work, and pressure. More advanced applications include power series and Fourier series . Calculus is also used to gain a more precise understanding of the nature of space, time, and motion.

What is the integral of x sin(x) dx?

The antiderivative of sin(x) is equal to the negative cosine of x, plus a constant. The antiderivative is also known as the integral. Using mathematical notation, it is expressed as the integral of sin(x) dx = -cos(x) + c, where c is equal to a constant.

What is sin x graph?

The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1]. See how we find the graph of y=sin(x) using the ​unit-circle definition of sin(x).