int (0) ^(pi) (1 + 2 cos x ) dx equal to : 01:08 The value of int (-1) ^(3) (|x-2 |+[x]) dx is equal to (where [**] den... 04:39 If underset(-1)overset(3//2)int|xsinpix|dx = (k)/(pi^(2)), then the va... 10:03 int0^(10pi) |sin x| dx is ...
If f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2 and int0^1 f(x)dx=(2A)/pi then constants A and B are
Basic Calculus Types, Formulas & Rules from Chapter 3 / Lesson 6 109K In this lesson, learn what basic calculus is. Moreover, discover the differential and integral calculus formulas and learn how to solve basic calculus problems with examples. Related to this QuestionDetermine...
Calculate ddx(3u2+uv)|x=2 if u(2)=1, u′(2)=3, v(2)=−2, and v′(2)=4. Chain and Product Rules of Derivative: To solve this problem, we need to understand evaluation of a derivative using the chain and product rules method: Whenever we hav...
Learn how to differentiate a function using the chain rule of differentiation. Find various chain rule derivative examples with various function types. Related to this Question Explore our homework questions and answers library Search Browse Browse by subject...
If x=2t4+1 and y=4t−t2 find the following derivatives as functions of t. (a) dydx. (b) d2ydx2. Derivative from Parametric Equations: When we have two parametric equations of variable x and y in terms of t, then differentiate both the ...
When the solid is spherical we resort to spherical coordinates to define the above integral, especially if the boundaries of the surfaces of the solids is given in terms of spherical coordinates such as, ρ=cosϕ o...
Set up the integral that gives the mass of the thin air. Find the mass of the region (in cylindrical coordinates) r^3 \leq z \leq 9 , where the density function is \rho(r,\theta, z) = 2z . Find the center of mass of the solid with constant density and bounded...