Evaluate the integral \int x \csc x \cot x \,dx Find the most general antiderivative of the following functions. (a) 4 x^3- 3 x^2 + 7 x - 5. (b) 3 sin 2 x - 2 sec^2 (3 x). (c) {3 t^2 - 6} / {square root t}. ...
{eq}\displaystyle \int \csc (t)(\csc (t) + \cot (t))\ dt {/eq} Indefinite Integration: We integrate a function to find the most general antiderivative of the function. The solution obtained by an indefinite integration is known as general antiderivative because it inv...
Answer and Explanation:1 Let us solve the integral, {eq}I=\displaystyle \int \cot x \, dx {/eq}. The cotangent function is defined by the quotient, {eq}\cot x=\dfrac{\cos... Learn more about this topic: Logarithmic Function | Definition, Rules & Properties ...