Search

Search results:

61.
$\int \sin^2 x dx=\dfrac{x}{2}-\dfrac{1}{4}\sin2x+C$
62.
$\int \cos^2 x dx=\dfrac{x}{2}+\dfrac{1}{4}\sin2x+C$
63.
$\int \sin^3x dx=\dfrac{1}{3}\cos^3x-cosx+C$
64.
$\int \sin^3x dx=\dfrac{1}{12}\cos3x-\dfrac{3}{4}\cos x+C$
65.
$\int \cos^3x dx=\sin x - \dfrac{1}{3}\sin^3x+C$
66.
$\int \cos^3x dx = \dfrac{1}{12}\sin 3x +\dfrac{3}{4}\sin x + C$
67.
$\int \dfrac{dx}{\sin x}=\ln\left|\tan\dfrac{x}{2}\right|+C$
68.
$\int \dfrac{dx}{\cos x}=\ln\left|\tan\left(\frac{x}{2}+\frac{\pi}{4}\right)\right|+C$
69.
$\int \dfrac{dx}{\sin^2 x}=-\cot x + C$
70.
$\int \dfrac{dx}{\cos^2x}=\tan x + C$
71.
$\int \dfrac{dx}{\sin^3x} =-\dfrac{\cos x}{2 \sin^2x}+\dfrac{1}{2}\ln\left|\tan\dfrac{x}{2}\right|+C$
72.
$\int \dfrac{dx}{\cos^3x}=\dfrac{\sin x}{2 \cos^2x}+\dfrac{1}{2}\ln\left|\tan\left(\frac{x}{2}+\frac{\pi}{4}\right)\right|+C$
73.
$\int \sin x \cos x dx = -\dfrac{1}{4}\cos2x+C$
74.
$\int \sin^2x \cos x dx = \frac{1}{3}\sin^3x+C$
75.
$\int \sin x \cos^2x\, dx=-\dfrac{1}{3}\cos^3x + C$
76.
$\int \sin^2x \cos^2x dx = \frac{x}{8}-\frac{1}{32}\sin4x + C$
77.
$\int \tan x \, dx=-\ln|\cos x|+C$
78.
$\int \dfrac{\sin x}{\cos^2x}dx=\dfrac{1}{\cos x}+C$
79.
$\int \dfrac{\sin^2x}{\cos x}dx=\ln\left|\tan\left(\frac{x}{2}+\frac{\pi}{4}\right)\right|-\sin x +C$
80.
$\int \tan^2x dx = \tan x - x + C$