题目
多项填空题
Question textIf \displaystyle \int_0^4g(x)\,dx=16 then \displaystyle \int_0^2x\,g(x^2)\,dx= A where A is an integer value. Enter the value of A below.A= Answer 1 Question 11[input]
查看解析
标准答案
Please login to view
思路分析
To tackle the integral, start by identifying a substitution that links the given integral to the target one......Login to view full explanation登录即可查看完整答案
我们收录了全球超50000道考试原题与详细解析,现在登录,立即获得答案。
类似问题
Use the substitution formula to evaluate the integral. sec2 2x dx
Question texta) Choose an appropriate substitution, [math: u], to find the integral [math: ∫(10x+2)5x2+2x+7]\displaystyle\int{\left(10\,x+2\right)\,\sqrt{5\,x^2+2\,x+7}} [math: dx] . [math: u=] [input] Your last answer was interpreted as follows: [math: 5x2+2x+7] 5\,x^2+2\,x+7 The variables found in your answer were: [math: [x]] \left[ x \right] b) Find [math: dudx]\displaystyle \dfrac{du}{dx}. [math: dudx=]\displaystyle \dfrac{du}{dx}=[input] c) Hence, find the integral [math: ∫(10x+2)5x2+2x+7]\displaystyle\int{\left(10\,x+2\right)\,\sqrt{5\,x^2+2\,x+7}} [math: dx] . Note: Type [math: c] for the integral constant. [math: f(x)=][input] Check Question 19
Question texta) Choose an appropriate substitution, [math: u], to find the integral [math: ∫(15x2+5)5x3+5x+5]\displaystyle\int{\left(15\,x^2+5\right)\,\sqrt{5\,x^3+5\,x+5}} [math: dx] . [math: u=] [input] b) Find [math: dudx]\displaystyle \dfrac{du}{dx}. [math: dudx=]\displaystyle \dfrac{du}{dx}=[input] c) Hence, find the integral [math: ∫(15x2+5)5x3+5x+5]\displaystyle\int{\left(15\,x^2+5\right)\,\sqrt{5\,x^3+5\,x+5}} [math: dx] . Note: Type [math: c] for the integral constant. [math: f(x)=][input] Check Question 2
Question texta) Choose an appropriate substitution, [math: u], to find the integral [math: ∫(10x+5)5x2+5x+5]\displaystyle\int{\left(10\,x+5\right)\,\sqrt{5\,x^2+5\,x+5}} [math: dx] . [math: u=] [input] b) Find [math: dudx]\displaystyle \dfrac{du}{dx}. [math: dudx=]\displaystyle \dfrac{du}{dx}=[input] c) Hence, find the integral [math: ∫(10x+5)5x2+5x+5]\displaystyle\int{\left(10\,x+5\right)\,\sqrt{5\,x^2+5\,x+5}} [math: dx] . Note: Type [math: c] for the integral constant. [math: f(x)=][input] Check Question 19
更多留学生实用工具
希望你的学习变得更简单
加入我们，立即解锁 海量真题 与 独家解析，让复习快人一步！