Integral Csc 2 Math
Du csc x cot x csc 2 x dx.
Integral csc 2 math. U d v u v. Cos x sin x cos x dx sin x c. For each of these we simply use the fundamental of calculus because we know their corresponding derivatives. Csc x cot x.
Du csc x cot x csc 2 x dx. Cfrac 1 2 int cfrac 1 u du log u we substitute the u to obtain. You can also get a better visual and understanding of the function and area under the curve using our graphing tool. Csc 2 x csc x cot x dx.
Choose evaluate the integral from the topic selector and click to see the result. A common way to do so is to place thin rectangles under the curve and add the signed areas together. Free antiderivative calculator solve integrals with all the steps. U csc x cot x.
One way to solve integration problems is by the method of substitution. And now applying directly an integration formula we will obtain the following result of our integral. Cfrac 1 2 log left csc 2x cot 2x right example 3. Csc2 x dx cot x c.
U csc x cot x. Integral of square cosecant int csc 2 x dx. Favorite answer the derivative of cot x is csc 2 x so that means the integral of csc 2 x is cot x c. Method of substitution in integration.
Click the blue arrow to submit. Integration by parts formula. Sometimes an approximation to a definite integral is desired. The derivative of eq cot theta eq is eq csc 2 theta eq.
The integral calculator solves an indefinite integral of a function. Csc 2 x csc x cot x dx. Sin x cos x sin x dx cos x c. Type in any integral to get the solution steps and graph this website uses cookies to ensure you get the best experience.
This means π 0 sin x dx cos π cos 0 2 0 π sin. Cfrac 1 2 log left csc v cot v right and finally we substitute v for 2x to obtain our final result. Csc x cot x. Sec 2 x tan x sec 2 x dx tan x c.
X d x c o s π c o s 0 2. Substitute du csc x cot x csc 2 x dx u csc x cot x. You could derive this on your own but it s much easier to just memorize the.