-1/(3sin^3x) + c This intergal can be computed using an appropriate u substitution Letting u = sintheta then du = costheta d theta Hence int costheta / (sin^4theta) d theta becomes int …

This will have volume pi r^2 * delta x = (pi sin^2 x) delta x The volume of the solid of rotation is effectively an infinite sum of the volumes of infinitesimally thin disc-like cylinders. Such a sum …

How do you find the indefinite integral of #int (x^2+2x+3)/ (x^2+3x^2+9x)#?

I would prefer to integrate this by substitution rather than parts. But if you insist: Let #u=1# and #dv=sin x cos x dx# Then #du=0 dx# and #v= int sin x cos x dx# This integral can be found (in …

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Mar 29, 2018 · -sqrt (4-x^2)/x-sin^-1 (x/2)+C Substitute x = 2 sin t. Then sqrt (4-x^2) = 2 cos t and dx = 2 cos t dt Thus int sqrt (4-x^2)/x^2 = int (2cos t)/ (4sin^2t)2cos t dt = int cot^2 t dt = int …

I=1/32 [12x-8sin2x+sin4x]+c We know that, (1)sin^2theta= (1-cos2theta)/2 (2)cos^2 2theta= (1+cos4theta)/2 (3)intcosAxdx=1/AsinAx+c Here, I=∫ sin^4 x dx =int (sin^2x ...

How do you find the integral of #x^5*e^ (x^2) #? On a farm there are chickens and cows. Together they have #200# legs and #75# heads. How many cows and chickens are there on the farm? …

Limits Involving Trigonometric Functions Intuitive Approach to the derivative of y=sin (x) Derivative Rules for y=cos (x) and y=tan (x) Differentiating sin (x) from First Principles Special Limits …

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