Answer to: Evaluate the following integral: integral of tan^3(x) dx. By signing up, you'll get thousands of step-by-step solutions to your homework...
Home>Math>Trigonometry>Arctan> Arctan integral Integral of arctanWhat is the integral of the arctangent function of x?The indefinite integral of the arctangent function of x is:See alsoArctan Derivative of arctan Arctan calculator Arctan of 0 Arctan of 2 Integral of arcsin...
arctan(3x)x−∫3x9x2+1dxarctan(3x)x-∫3x9x2+1dxSince 33 is constant with respect to xx, move 33 out of the integral. arctan(3x)x−(3∫x9x2+1dx)arctan(3x)x-(3∫x9x2+1dx)Multiply 33 by −1-1. arctan(3x)x−3∫x9x2+1dxarctan(3x)x-3∫x9x2+1dxLet...
Calculate the Integral of … CLR+–×÷^√f(x)π() √3√4√n√ You can also input: •sqrt(…) •root(n, …) lnlog10lognexpexabs|x| sincostancscseccot arcsinsin-1arccoscos-1arctantan-1 arccsccsc-1arcsecsec-1arccotcot-1 ...
Answer to: Integrate: integral of (tan x)/((sec x)^3) dx. By signing up, you'll get thousands of step-by-step solutions to your homework questions...
Since ( 1) is constant with respect to ( u), move ( 1) out of the integral. ( x+C-2((tan)(x)+C)+u+C+∫ u^2du) By the Power Rule, the integral of ( u^2) with respect to ( u) is ( 1/3u^3). ( x+C-2((tan)(x)+C)+u+C+1/3u^3+C) Simplify. ( x-2...
1.Identify the integral: We need to compute∫xtan(x)dx. 2.Use integration by parts: We will use the integration by parts formula, which states: Here, we can let: -u=x(thusdu=dx) -dv=tan(x)dx 3.Findv: To findv, we need to integratetan(x): ...
and u4 are the five zeros of the Legendre polynomial P,(u) of degree 5. Values of these zeros and the corresponding w,'s are given below: u_0=0.90617985 , ω_0=0.23692689 , u_1=0.53846931 , ω_1=0.47862867 , u_2=0 ω_2=0.56888889 , u_3=-0.53846931 , ω_3=0.47862867 ,...
3.Apply the integral: Since the derivative of sec(x) is sec(x) * tan(x), we can conclude that: where C is the constant of integration. 4.Final result: Thus, the final result of the integral is: 1cos(x) Integral Calculatorcomputes an indefinite integral (anti-derivative) of a functi...
Evaluate the integral {eq}\int 8\tan^3 x \sec x \, dx {/eq} Indefinite Integral in Calculus: Integration techniques can be used to find anti derivatives of a trigonometric function. Sometimes trigonometric identities may be needed to do so. ...