设f(x)有原函数xlnx,则∫xf(x)dx=()。
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试题来源: 解析 (dx)/(f(x)) = √(1-x^2)dx 由已知积分表达式 ∫ xf(x)dx = arcsin x + C,对等式两边求导,得 xf(x) = 1/(√(1-x^2))。 因此,f(x) = 1/(x√(1-x^2)),则 (dx)/(f(x)) = x√(1-x^2)dx。反馈 收藏 ...
Find∫f(x)dxin terms of x given the following ∫f(x)dx=θ+tanθ−ln(secθ)+C,sinθ=x6 Trigonometric Identities: The six trigonometric functions have several identities connecting them to one another making it possible...
【题目】证明:若函数f(x)在[0,+∞)一致连续,且无穷积分$$ \int _ { 0 } ^ { + \infty } $$f(x)dx收敛,则$$ \lim _
Find {eq}\int_{0}^{10} f(x) dx {/eq} if {eq}f(x) = \left\{\begin{matrix} 8 & for & x < 8\\ x & for & x \geq 8 \end{matrix}\right. {/eq} Definite Integrals: If the integrand is some function that is defined under different expre...
∫ddxf(x)dx−ddx∫f(x)dx?Solution in Odia Video SolutionStruggling With Integrals? Get Allen’s Free Revision Notes Free ALLEN Notes | ShareSave Answer Step by step video & image solution for What is the value of int(d)/(dx)f(x)dx-(d)/(dx)intf(x)dx? by Maths experts to help...
1.将定积分 $$ \int _ { a } ^ { b } $$f(x)dx表示成和式的极限是$$ A \textcircled { A } \lim _ { n \rightarrow \infty } \frac { b - a } { n } \sum _ { k = 1 } ^ { n } f ( \frac { k } { n } ( b - a ) ) $$$ \textcircled { B ...
यदि int (1)/(x+x^(5))dx = f(x) + c,"तब" int (x^(4))/(x+x^(5))dx का मान है
∫_a^εf(x)dx 答案 (1)设 F'(x)=f(x) ,则 ∫abf(x)dx=F(b)−F(a) ,−∫baf(x)dx=−[F(a)−F(b)] ,所以 ∫abf(x)dx=−∫baf(x)dx ; (2)设 F'(x)=f(x) ,则 ∫abf(x)dx=F(b)−F(a) ,∫acf(x)dx+∫cbf(x)dx=F(c)−F(a)+F(b)−F(c)=F(...