Calc 2 Integrals

∫ dx

x + C

∫ xr dx

xr+1 / (r + 1) + C (r ≠ −1)

∫ 1/x dx

ln |x| + C

∫ e^x dx

e^x + C

∫ cos(x) dx

sin(x) + C

∫ sin(x) dx

−cos(x) + C

∫ sec²(x) dx

tan(x) + C

∫ csc²(x) dx

−cot(x) + C

∫ sec(x) tan(x) dx

sec(x) + C

∫ csc(x) cot(x) dx

−csc(x) + C

sin²(x) + cos²(x)

1

1 + cot²(x)

csc²(x)

tan²(x) + 1

sec²(x)

sin²(x)

1/2(1 − cos(2x))

cos²(x)

1/2(1 + cos(2x))

sin(A) cos(B)

1/2[sin(A − B) + sin(A + B)]

sin(2A)

2 sin(A) cos(A)

sin(A) sin(B)

1/2[cos(A − B) − cos(A + B)]

cos(2A)

cos²(A) − sin²(A)

cos(A) cos(B)

1/2[cos(A − B) + cos(A + B)]