Solved Determine which of the integrals can be found using
Integral Rules Sheet. A x /ln(a) + c : 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₯).
β« f ( g ( x )) g β² ( x ) dx = β« f ( u ) du. β« f ( x ) g β² ( x ) dx = f ( x ) g ( x ) β β« g ( x ) f β² ( x ) dx. X 3 /3 + c: 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₯). E x + c : A x /ln(a) + c : X 2 /2 + c: X ln(x) β x + c: Web symbolab integrals cheat sheet common integrals:
X ln(x) β x + c: E x + c : Web symbolab integrals cheat sheet common integrals: β« f ( x ) g β² ( x ) dx = f ( x ) g ( x ) β β« g ( x ) f β² ( x ) dx. A x /ln(a) + c : 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₯). X 3 /3 + c: β« f ( g ( x )) g β² ( x ) dx = β« f ( u ) du. X ln(x) β x + c: X 2 /2 + c:
