Evaluate the indefinite integral \int (\frac{x^5}{\sqrt x} + 6\sqrt x - 3\sqrt{x^2} + \frac{1}{x^{4/3 + \csc^2 x ) \, dx Evaluate the following integral. int csc^2 3x dx Evaluate the definite integral: integral_pi/6^pi/4 cosec x dx Evaluate \int x csc^2 4x dx ...
Find the indefinite integral by using the substitution x = 6 \sin \theta. (Use C for the constant of integration.) \int \frac{x^2}{\sqrt{36 - x^2 dx Find the most general antiderivative. integral sin theta (cot theta + csc theta) ...