What is the value of sin cube X?

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Therefore, the formula for sin cube x are: sin^3x = (3/4) sinx – (1/4) sin3x ⇒ sin3x = (3/4) sinx – (1/4) sin3x.

How do you integrate cos3x?

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 Antiderivative of cos3x?

The antiderivative of cos 3x is ∫cos 3x dx = (1/3) sin 3x + C, where C is the constant of integration. The integration of cos 3x can be determined using the substitution method and cos 3x formula.

What is the antiderivative of Cos 3x?

What is integration of Sin²x?

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

What is cos 3a?

Answer. Hence, cos3A= −3cosA+4cos3A.

How do you derive cos3x?

The derivative of cos3x is equal to -3 sin3x. The derivative of a function gives the rate of change in that function with respect to the change in the variable. We can calculate the derivative of cos3x using different methods of differentiation such as the chain rule and first principle of derivatives.

How do you find the antiderivative of sin2x?

The integral of sin 2x dx is written as ∫ sin 2x dx and ∫ sin 2x dx = -(cos 2x)/2 + C, where C is the integration constant.

How do you find the antiderivative of sinxcosx?

The antiderivative of Sinx is cos (x) +C. With the use of the integral sign, this particular variant can be written as: ∫sin(x) dx= -cos(x) +C. How do you find the antiderivative of Sin X/Integral of Sin (x)? The anti-derivative for any function, represented by f(x), is the same as the function’s integral.

How to calculate the antiderivative?

xndx = xn+1+c as long as n does not equal -1. This is essentially the power rule for derivatives in reverse

cf (x)dx = c f (x)dx . That is,a scalar can be pulled out of the integral.

(f (x)+g(x))dx = f (x)dx+g(x)dx .

sin (x)dx = – cos (x)+c cos (x)dx = sin (x)+c sec2(x)dx = tan (x)+c These are the opposite of the trigonometric derivatives.

How to find antiderivatives using reverse rules?

Antiderivatives and indefinite integrals intro.

Fundamental theorem of calculus.

Indefinite integrals: reverse power rule.

Indefinite integrals of sin (x),cos (x),eˣ,and 1/x.

Finding definite integrals.

Average value of a function.

Interpreting behavior of 𝑔 from graph of 𝑔’=ƒ.

Optional videos.

How to find anti derivative?

Find the general antiderivative of a given function.

Explain the terms and notation used for an indefinite integral.

State the power rule for integrals.

Use antidifferentiation to solve simple initial-value problems.