Property 3
\(\blacksquare\quad\displaystyle\int\sin x\,dx=-\cos x+c\)
\(\blacksquare\quad\displaystyle\int\cos x\,dx=\sin x+c\)
1.
\(\displaystyle\int (\sin x+\cos x)\,dx=?\)
2.
\(\displaystyle\int 2\sin x\,dx+\displaystyle\int (1-2\sin x)\,dx=?\)
3.
\(\displaystyle\int \sin^2x\,dx+\displaystyle\int \cos^2x\,dx=?\)
4.
\(\displaystyle\int (x^3+\sqrt x+\sin x)\,dx=?\)
5.
\(\displaystyle\int \samefrac{\sin^2x}{1-\cos x}\,dx=?\)
6.
\(\displaystyle\int \left(\samefrac{7}{2}\cdot\cos x+4\right)\,dx=?\)
7.
\(\displaystyle\int (-2\sin x+3\cos x)\,dx=?\)
8.
\(\displaystyle\int \samefrac{1-\sin^2x}{\cos x}\,dx=?\)
9.
\(\displaystyle\int \samefrac{1-\cos^2x}{\sin^2x}\,dx=?\)