Find the most general antiderivative of the function. (Use C for the constant of the antiderivative.) f(x) = 4root( x^3 ) + 3root (x^ 4) What is the antiderivative of 2\sec^2(x) + 3 What is the antiderivative dy / dx = x / (x^2 + 36 ...
A bacterial population in a flask experiences a growth rate that can be described by the equation R′(t)=3t2−36t+96, where t is the time in hours, and the equation is valid over the domain [0,8]. What is the anti-derivative, R(t) for this equation? Antiderivative: The indefin...
Although we cannot compute the antiderivative of f(x) e frac -x2 2 ,it is known that int{-infty} {infty} e {frac{-x 2}{2dx=sqrt{2pi} Use this fact to show that What is the antiderivative dy / dx = x / (x^2 + 36 )? What is the antiderivative of the integral of (5x +...
试题来源: 解析 A 结果一 题目 What is the particular antiderivative of whose x-intercept is 3? ( ) A. B. C. D. 答案 A相关推荐 1What is the particular antiderivative of whose x-intercept is 3? ( ) A. B. C. D. 反馈 收藏 ...
What is The Antiderivative Product Rule? The formula for the antiderivative product rule is ∫f(x).g(x) dx = f(x) ∫g(x) dx − ∫(f′(x) [ ∫g(x) dx)]dx + C where we need to find the antiderivative of the product of two or more functions.Explore...
The value of log e base e, that is, ln e value is equal to 1. The derivative of log e is equal to zero as it is a constant. ☛ Related Topics: Antiderivative of ln x Derivative of log x Logarithms Examples Using Log e Example 1: Calculate the value of 2 log e. Solution: We...
Theintegralofx^2is\frac{x^3}{3}plus a constant. Synonyms * (limit of sums) definite integral * (antiderivative) antiderivative, indefinite integral, Antonyms * (antiderivative) derivative Derived terms * definite integral * half-integral * improper integral * indefinite integral * integral calculus...
Step 1: Identify the integralWe need to evaluate the definite integral of cosx from 0 to π2. Step 2: Find the antiderivativeThe antiderivative of cosx is sinx. Therefore, we can write:∫cosxdx=sinx+Cwhere C is the constant of integration. Step 3: Apply the limits of integrationNow we...
The Antiderivative Problem Definite Integrals Fundamental Theorem of Calculus Integrability of Monotonic Functions Integrability of Functions with Bounded Derivative Substitution Integration by Parts Taylor's Theorem Analytic Functions The Euler Identity Readership: Undergraduates, high school students, instructors ...
(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative; The integral of x^2 is \frac{x^3}{3} plus a constant. Integral The fluent of a given fluxion in ...