Integral tak tentu dari sin x + cos pangkat 2 x =

[tex]\int (sin(x)+cos^2(x))dx[/tex]
[tex]\int sin(x)dx + \int cos^2(x)dx[/tex]
[tex]\int sin(x)dx +\int \frac{1}{2}\cdot2cos(x)cos(x)dx[/tex]
[tex]\int sin(x)dx +\int \frac{1}{2}\cdot(cos(2x)+cos(0))dx[/tex]
[tex]\int sin(x)dx +\int \frac{1}{2}\cdot cos(2x)dx+\int\frac{1}{2}dx[/tex]
[tex]u=2x[/tex]
[tex]\frac{du}{dx}=2[/tex]
[tex]\frac{du}{2}=dx[/tex]
[tex]\int sin(x)dx +\int \frac{1}{4}\cdot cos(u)du+\int\frac{1}{2}dx[/tex]
[tex]-cos(x) +\frac{1}{4}\cdot sin(u)+\frac{1}{2}x +C[/tex]
Maaf jika ada salah hitung.