Antiderivative Study guides, Class notes & Summaries

evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...

Integration is the process of combining parts to function as a whole, often used in math, technology, and systems.

Summary based on coursework in the Engineering Maths 115 course at Stellenbosch University. Used for Tutoring Purposes on Teachme2.

[(h1 - h2)/2]*base - Correct Answers >area of trapezoid ∫ u dv = - Correct Answers >uv - ∫ v du 6th degree Taylor Polynomial - Correct Answers >polynomial with finite number of terms, largest exponent is 6, find all derivatives up to the 6th derivative absolute value of velocity - Correct Answers >speed Alt. Series Error: - Correct Answers > Alternate definition of derivative - Correct Answers >limit as x approaches a of [f(x)-f(a)]/(x-a) alternating series test - Cor...

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Calculus is a branch of mathematics that deals with the study of rates of change and slopes of curves. It is divided into two main branches: Differential Calculus and Integral Calculus. Differential Calculus: Limits: In differential calculus, limits are used to determine the behavior of a function as the input (x) approaches a certain value. Derivatives: Derivatives are a measure of the rate of change of a function at a given point. The derivative of a function can be found using the li...

in this package you can find the combo solution of anti-derivative basic and advance solution.

Notes on Integration by Parts. Step by step with examples of definite and indefinite integrals. Tabular Method is also explored as well as examples with trig functions.

function with antiderivatives

The reverse operation of finding a derivative is called the antiderivative. A function F is an antiderivative of a function. The expression:  f (x)dx read “the indefinite integral of f with respect to x,” means to find the set of all antiderivatives of f.