WebSo when you have two functions being divided you would use integration by parts likely, or perhaps u sub depending. Really though it all depends. finding the derivative of one function may need the chain rule, but the next one would only need the power rule or something. It's kinda hard to predict if two functions being divided need integration ... WebApplications of Differentiation: Second Derivative Test; Partial Derivatives; Integral; Average of an Integral; Integration by Parts; Improper Integrals; Integrals: Area Between Curves; Integrals: Volume by Cylindrical Disks; Integrals: Volume by Cylindrical Shells; Integrals: Length of a Curve; Integrals: Work as an Integral; Numerical ...
Integrals Integral Calculus Math Khan Academy
Webwww.mathportal.org 5. Integrals of Trig. Functions ∫sin cosxdx x= − ∫cos sinxdx x= − sin sin22 1 2 4 x ∫ xdx x= − cos sin22 1 2 4 x ∫ xdx x= + sin cos cos3 31 3 ∫ xdx x x= − cos sin sin3 31 3 ∫ xdx x x= − ln tan sin 2 dx x xdx x ∫= WebTable of Derivatives. Following are the derivatives we met in previous chapters: Introduction to Differentiation; Applications of Differentiation; and this chapter, … drg i97z
List of Antiderivatives - Wyzant Lessons
WebThe derivative can give you a precise intantaneous value for that rate of change and lead to precise modeling of the desired quantity. The integral of a function can be geometrically interpreted as the area under the curve of the mathematical function f … WebThe Fundamental Theorem of Calculus states the relation between differentiation and integration. If we know F (x) is the integral of f (x), then f (x) is the derivative of F (x). Listed are some common derivatives and antiderivatives. Basic Functions Elementary Trigonometric Functions Trigonometric Integrals with More Than 1 Function WebDerivative vs Integral A derivative tells us about the slope of a curve at a given point, while an integral tells us about area under a curve on a given interval. More specifically: The derivative of a function tells us the slope of a tangent line the function at a given point. drg i77z