The derivative of a function defines the change in the function corresponding to the change in other variables. A function's antiderivative is evaluated using the integral calculus. Suppose a function is f(x), then we define the function's antiderivative as follows. ...
Question: What is the antiderivative ofx+7x? Antideriative: Antiderivative of a function is obtained by integrating that function. 1. Simplify the function . 2. Integrate the function. 3. Use "C" as constant of integration. Answer and Explanation:1 Anti derivative ofx+7xis ∫x+7xdx {eq}\...
When we need to find an antiderivative of a function g(x) it means we have to find another function G(x) in such a way that when we calculate the derivative of the function G(x) we obtain the function g(x) that is G′(x)=g(x)...
What is the antiderivative dy / dx = x / (x^2 + 36 )? If integral1^7 f(x) dx = 12 and integral 6^7 f(x)dx = 3.6, find integral 1^6 f(x) dx. What is the integral of cosx^3 sinx^8 dx [write cosx^3 as cosx(1-sinx^2)] Find the indefinite integral S(x - 6x^{...
What is the integral from 7 to 8 of \frac{(x)}{(x^2 + 6x + 13)}dx What is the antiderivative of the integral of sec^3(1 - 2x) dx? What is the antiderivative of the integral of (5x + 3)/(x^3 - 2x^2 - 3x) dx? What is the integral of \frac{x^2}{x}? What is ...
What is the integral of (\sin x + \cos x)^2 from -\pi to \pi? What is the integral 7x^9/25+x^{10} dx? Evaluate the integrals. A) Integral of (dx)/(2*sqrt(x) + 2x). B) Integral of tan(x) ln(cos(x)) dx. What is the antiderivative of the integral of x^(-1/2)...
what is the intergral off(x)′whenf(x)′=16x4−3x3+45x−2? Question: what is the intergral off(x)′whenf(x)′=16x4−3x3+45x−2? Integral: The given problem is to evaluate the integral. First, we apply the following properties of the indefinite integ...
Fundamental Theorem of Calculus: Let {eq}f'(x) {/eq} be a continuous function on the interval {eq}\left[ a,b\right] {/eq} Also, suppose {eq}f(x) {/eq} denotes the antiderivative of the function {eq}f'(x) {/eq} Then the following equality holds...
Math Calculus Antiderivative What is an integral of sin(x+4)dx?Question:What is an integral of sin(x+4)dx? ntegration:The given integral is a complicated integral. To evaluate the given integral, the techniques that we'll apply are the u-substitution and integration by parts. U-...
Below is the graph of the function f : (a) Compute ? 10 0 f ( x ) d x . (b) Compute ? 10 0 | f ( x ) | d x . (c) Suppose that F is an antiderivative of f . Use the given information to fill Use a graphing utility to graph ...