How do I find a definite integral on a TI-84? + Example - Socratic
2014年9月25日 · A definite integral can be found on the TI-84 by 2 methods. This can best be described by using an example. int_0^5xdx Method 1: Press the MATH button Press 9 to get to the definite integral function Use the arrow key to move the cursor Enter the boundaries and function Press ENTER to get the result Method 2: Visual Press the Y= button Enter the …
What is the integral of #sec^3(x)#? - Socratic
2014年12月22日 · What is the integral of #sec^3(x)#? Calculus Techniques of Integration Integration by Trigonometric ...
What is the integral of (cosx)^2? - Socratic
2016年6月12日 · The second integral is the "perfect integral:" #intdx=x+C#. #=1/2intcos(2x)dx+1/2x# The constant of integration will be added upon evaluating the remaining integral. For the cosine integral, use substitution. Let #u=2x#, implying that #du=2dx#. Multiply the integrand #2# and the exterior of the integral by #1/2#. #=1/4int2cos(2x)dx+1/2x#
What are the units of a definite integral and its derivative?
2012年11月13日 · Definite integral Integral Units In summary: If V(t) is the volume of a cube with side length t meters, then dV/dt has units of "meters squared" divided by "seconds".In summary, when integrating a function, the units of the integral are the product of …
Definite and indefinite integrals - Calculus - Socratic
The integral of a function (#f(x)#) with limits #a# and #b# is the integral of that function evaluated at the upper limit (#F(b)#) minus the integral of that function evaluated at the lower limit (#F(a)#) #F(x)# just denotes the integral of the function. Note that you will get a number and not a function when evaluating definite integrals. Also ...
How do you integrate int [(Sec(x))^5]dx? - Socratic
2018年2月14日 · and using the linearity of the integral: #int sec^5x dx = tanxsec^3x + 3int sec^3x dx -3 int sec^5x dx# The integral now appears on both sides of the equation and we can solve for it obtaining a reduction formula: #int sec^5x dx = 1/4(tanxsec^3x + 3int sec^3x dx)# Solve now the resulting integral with the same procedure:
How do you find the volume of a pyramid using integrals?
2014年10月2日 · Let us find the volume of a pyramid of height h with a b\\times b square base. If y is the vertical distance from the top of the pyramid, then the square cross-sectional area A(y) can be expressed as A(y)=(b/hy)^2=b^2/h^2y^2. So, the volume V can be found by the integral V=int_0^hA(y) dy=b^2/h^2int_0^hy^2 dy=b^2/h^2[y^3/3]_0^h =1/3b^2h. I hope that this was …
What is the integral of the error function? - Socratic
2016年2月20日 · Integration by Parts: Let u = "erf"(x) and dv = dt Then, by the fundamental theorem of calculus, du = 2/sqrt(pi)e^(-x^2) and v = x By the integration by parts formula intudv = uv - intvdu int"erf"(x)dx = x"erf"(x) - int2/sqrt(pi)xe^(-x^2)dx Integration by Substitution: To evaluate the remaining integral, let u = -x^2 Then du = -2xdx and so ...
What is an integral? + Example - Socratic
2018年6月16日 · The definite integral of a function f over an interval [a,b] represents the area defined by the function and the x-axis from point a to point b, as seen below. The symbol used to represent this area S and integral, respectively, is S=int_a^b f(x)"d"x, where diamond f " is called the integrand" diamond a and b " are the lower and upper bounds ...
What is the integral of #arctan(x)#? - Socratic
2018年8月12日 · What is the integral of #arctan(x)#? Calculus Introduction to Integration Integrals of Trigonometric ...