Derivative And Integral Cheat Sheet - If the integral contains the following root use the given substitution and formula. Web symbolab integrals cheat sheet common 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^' 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: Fraction decomposition of the rational expression.
If the integral contains the following root use the given substitution and formula. Fraction decomposition of the rational expression. 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: 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^' Web symbolab integrals cheat sheet common integrals: β«sec2(π₯) π₯=tan(π₯) β«csc2(π₯) π₯=βcot(π₯) β« π₯