We will apply one of the properties of the definite integrals and change the integrand to square root of a linear function. Then we estimate the value as done in the solution.Answer and Explanation: {eq}\int_{1}^{3}\sqrt{x^2+3}dx\\ \text{for}~1<x<3\\ x^2...
题目【题目】Use series to approximate the definite integral to within the indicated accuracy.1$$ \left[ \begin{matrix} 1 / 2 \\ 0 \end{matrix} \right] $$.$$ x ^ { 3 } $$ arctan x dx (four decimal places) 相关知识点: 试题来源: ...
题目 In Exercise, use the shell method to write and evaluate the definite integral that represents the vo1ume of the solid generated by revolving the plane region about the x-axis.x+y=4, y=x, y=0 相关知识点: 试题来源: 解析 2π ∫ _0^2y(4-2y)dy=(16π)3 反馈 收藏 ...
Definite Integral:The definition of an integral is a numerical solution with upper and lower bounds. The definite integral has no integration constant. Integrate the definite integral as an indefinite integral, then use the limits to get to the final result. The i...
Evaluate the definite integral. Use a graphing utility to verify the result. {eq}\displaystyle \int_{- \pi / 6}^{\pi / 6} 5 \sec^2 x\ dx {/eq}. Property of Definite Integral: Sometimes, instead of directly applying the basic rules of definite integr...
Use the definite integral to find the area between the x-axis andf(x)over the indicated interval. f(x)=ex−1over the interval(−1,2). Definite Integral: This calculation includes the entire region between the function and the x...
结果1 题目 Use a power series to approximate the value of the definite integral with an error of less than . (asume that the integrand is defined as 1 when x=0.)∫_0^(1/2)(arctan x)xdx 相关知识点: 试题来源: 解析 反馈 收藏 ...
Integration has a wide variety of applications.Today you'll learn to use a definite integral to find the area of a region bounded by two curves.Area is nonnegative number.When we find the area of a region above theχ-axis,the area is positive.When we find the area of a region below ...
Use the definition of the definite integral to evaluate ∫30(2x−1)dx. Use a right-endpoint approximation to generate the Riemann sum.
Use series to approximate the definite integral to within the indicated accuracy: the integral from from 0to 0.4 of e^?x^3 dx with an error <10?4 Note: The answer you derive here should be the partial sum of an appropriate series (the number ...