What is the integral of cosine?

The integral of cos x dx is sin x. Mathematically, this is written as ∫ cos x dx = sin x + C, where, C is the integration constant.

What is the integral of sin and cos?

Integrals of trig functions can be found exactly as the reverse of derivatives of trig functions. The integral of sinx is −cosx+C and the integral of cosx is sinx+C.

What is the integration of Cos 2x?

The integral of cos 2x is ∫ cos 2x dx = (sin 2x)/2 + C.

What is the antiderivative of COSX?

Again, people memorize that the antiderivative of cosx is sinx.

How do you integrate sin and cos times?

We will use the following formulas to determine the integral of sin x cos x: d(cos x)/dx = -sin x.

Trigonometric Integrals

What is the integral of tan?

The integral of tan x is ln|cos x| + C .

What is the integral of sin?

The integral of sin x is -cos x. Mathematically, this is written as ∫ sin x dx = -cos x + C, were, C is the integration constant.

What's the integral of secant?

The integral of sec x is ln|sec x + tan x| + C. It denoted by ∫ sec x dx. This is also known as the antiderivative of sec x. We have multiple formulas for this.

What is the antiderivative of sin?

The general antiderivative of sin(x) is −cos(x)+C .

What is the integral of sin2x?

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

How do you integrate Sinxcos 2x?

Combined with our knowledge of integrating functions of functions such (1+x)^2 or (sinx)^2. By working backwards and thinking about what we would have to differentiate to get close to sinxcos^2x. We can determine that cos^3x would give us -3sinxcos^2x. Thus the integral of (sinxcos^2x) dx is -1/3cos^3x.

What is the antiderivative of COSX 1?

∫ (1 / cos(x)) dx = ∫ sec(x) dx = ln |sec(x) + tan(x)| + C, where C is a constant. The antiderivative of 1 / cos(x) is ln |sec(x) + tan(x)| + C, where C is a constant.

What is the integration of Cos 3x?

The formula for the integral of cos 3x is ∫cos 3x dx = (1/3) sin 3x + C, where C is the constant of integration.

What is the integral of sin 3x?

Mathematically, the integral of sin 3x is written as ∫sin 3x dx = (-1/3) cos 3x + C, where C is the constant of integration, dx denotes that the integration of sin 3x is with respect to x, ∫ is the symbol for integration.

What is the formula of cos3x?

The formula for cos^3x is given by cos^3x = (1/4) cos3x + (3/4) cosx. We can derive this formula using the cos3x formula. We know that cos3x = 4cos^3x - 3 cosx which on adding 3 cosx on both sides of the integral can be written as cos3x + 3cosx = 4cos^3x - 3 cosx + 3cosx ⇒ cos3x + 3cosx = 4cos^3x.

What is the integral of sin 4x?

The integration of sin 4x is equal to the negative of one-fourth of the cosine of the angle 4x plus the constant of integration which is mathematically written as ∫sin 4x dx = (-1/4) cos 4x + C, where C is the constant of integration, dx indicates the integration of sin 4x w.r.t. x and ∫ is the symbol of integration.

What is the integral of csc?

Integral csc(x) csc x = - ln|csc x + cot x| + C.

Is SEC the same as 1 cos?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

What is the derivative of Secx?

The derivative of sec x with respect to x is written as d/dx(sec x) and it is equal to sec x tan x. i.e., the differentiation of sec x is the product of sec x and tan x.

How do you differentiate cot?

What is inverse COS equal to?

In a right-angled triangle, the cosine of an angle (θ) is the ratio of its adjacent side to the hypotenuse, that is, cos θ = (adjacent side) / (hypotenuse). Using the definition of inverse cosine, θ = cos^-1[ (adjacent side) / (hypotenuse) ].