CALCULUS 2 TEST FORMULAS 2025-26 #16
Area of a region between f & g - correct answer ∫a→b [f(x)-g(x)]dx
Area of region under f - correct answer ∫a→b f(x)dx
Area of region under g - correct answer ∫a→b g(x)dx
Volume of a disk - correct answer ∫a→b πr^2dx
Solid of Revolution (vertical axis) - correct answer π∫a→b [R(y)]^2 dy
Solid of revolution (horizontal axis) - correct answer π∫a→b [R(x)]^2 dx
Washer Method - correct answer π∫a→b [outer}^2-[inner]^2 dx
Volume of solids area perpendicular x-axis - correct answer ∫a→b A(x) dx
Volume of solids area perpendicular y-axis - correct answer ∫a→b A(y) dy
Shell method x-axis - correct answer 2π∫a→b (shell radius)(shell height) dx
Shell method y-axis - correct answer 2π∫a→b (shell radius)(shell height) dy
Arc Length - correct answer ∫a→b√1+[f'(x)]^2 dx
Surface of revolution (y is a function of x) - correct answer 2π∫a→b r(x)√1+[f'(x)]^2 dx
Work - correct answer Force*distance
Hooke's Law - correct answer F=kd
Area of a region between f & g - correct answer ∫a→b [f(x)-g(x)]dx
Area of region under f - correct answer ∫a→b f(x)dx
Area of region under g - correct answer ∫a→b g(x)dx
Volume of a disk - correct answer ∫a→b πr^2dx
Solid of Revolution (vertical axis) - correct answer π∫a→b [R(y)]^2 dy
Solid of revolution (horizontal axis) - correct answer π∫a→b [R(x)]^2 dx
Washer Method - correct answer π∫a→b [outer}^2-[inner]^2 dx
Volume of solids area perpendicular x-axis - correct answer ∫a→b A(x) dx
Volume of solids area perpendicular y-axis - correct answer ∫a→b A(y) dy
Shell method x-axis - correct answer 2π∫a→b (shell radius)(shell height) dx
Shell method y-axis - correct answer 2π∫a→b (shell radius)(shell height) dy
Arc Length - correct answer ∫a→b√1+[f'(x)]^2 dx
Surface of revolution (y is a function of x) - correct answer 2π∫a→b r(x)√1+[f'(x)]^2 dx
Work - correct answer Force*distance
Hooke's Law - correct answer F=kd
