Integration Techniques

Flashcards containing essential integration techniques and their corresponding results.

∫ sin x dx

= -cos x + c

∫ cos x dx

= sin x + c

∫ e^x dx

= e^x + c

= ln|x| + c for x ≠ 0

= arctgh(x) + c for |x| < 1

∫ (1/(1+x²)) dx

= arctg(x) + c

= arcsin(x) + c for -1 < x < 1

= tgh(x) + c

∫ sinh(x) dx

= cosh(x) + c

∫ cosh(x) dx

= sinh(x) + c

= tg(x) + c

= arcsinh(x) + c

= -cotg(x) + c