Derivative And Integral Cheat Sheet - β«sec2(π₯) π₯=tan(π₯) β«csc2(π₯) π₯=βcot(π₯) β« π₯ Fraction decomposition of the rational expression. If the integral contains the following root use the given substitution and formula. Web symbolab integrals cheat sheet common integrals: Sum difference rule \left (f\pm g\right)^'=f^'\pm g^' constant out \left (a\cdot f\right)^'=a\cdot f^' product rule (f\cdot g)^'=f^'\cdot g+f\cdot g^' Note that all but the first one of these tend to be taught in a calculus ii class. β«π₯β1 π₯=ln(π₯) β« π₯ π₯ =ln(π₯) β« |π₯ π₯=π₯βπ₯ 2 2 β« π₯ π₯= π₯ β«sin(π₯) π₯=βcos(π₯) β«cos(π₯) π₯=sin(π₯) trigonometric integrals:
β«π₯β1 π₯=ln(π₯) β« π₯ π₯ =ln(π₯) β« |π₯ π₯=π₯βπ₯ 2 2 β« π₯ π₯= π₯ β«sin(π₯) π₯=βcos(π₯) β«cos(π₯) π₯=sin(π₯) trigonometric integrals: β«sec2(π₯) π₯=tan(π₯) β«csc2(π₯) π₯=βcot(π₯) β« π₯ Sum difference rule \left (f\pm g\right)^'=f^'\pm g^' constant out \left (a\cdot f\right)^'=a\cdot f^' product rule (f\cdot g)^'=f^'\cdot g+f\cdot g^' Fraction decomposition of the rational expression. Note that all but the first one of these tend to be taught in a calculus ii class. Web symbolab integrals cheat sheet common integrals: If the integral contains the following root use the given substitution and formula.