int0^x f(t)dt=x+intx^1 tf(t)dt হলে f(1) এর মান নির্ণয় করো।
Let {eq}g\left( x \right) = \int\limits_0^x {f\left( t \right)dt} {/eq}, where {eq}f {/eq} is the function whose graph is shown. Does the function {eq}g\left( x \right) {/eq} have any critical points? Critical P...
dt , f(x+π) View Solution f(x)=sinx+∫π/2−π/2(sinx+tcosx)f(t) dt then max value of f (x) : View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths Cengage Solutions for Maths ...
Answer and Explanation: {eq}g(x) = \begin{cases} \int_0^x 0 \, dt & \text{if} & t < 0\ \int_0^x \,t \, dt & \text{if} & 0 \leq t \leq 1\ \int_0^x (2 - t) \, dt &...Become ...
高等数学 积分函数的奇偶性的一个问题,求指点若f(x)是奇函数,则 $$ \int _ { 0 } ^ { x } $$f(t)dt为偶函数;若f(x)是偶函数,则 $$ \int _ { 0 } ^ { x } $$f(t)dt为奇函数.&偶函数的原函数之一为奇函数“导函数为奇函数,那么原函数为偶函数;导函数为偶函数,那么...
设f(x)是以T为周期的连续函数,(1)试证 $$ \int _ { 0 } ^ { x } $$f(t)dt可表为一个周期为T的连续函数与kx之和,并求出常数k;(2)求极限$$ \lim _ { x \rightarrow \infty } \frac { 1 } { x } \int _ { 0 } ^ { x } f ( t ) d t $$ ...
设$f(x)$是连续非零偶函数,$g(x)=\int_0^x f(t)dt$, 则$g(x)$是A.奇函数。B.偶函数。C.非奇非偶函数。D.可能是奇函数,也可能是偶函数。的答案是什么.用刷刷题APP,拍照搜索答疑.刷刷题(shuashuati.com)是专业的大学职业搜题找答案,刷题练习的工具.一键将文档转化为在线题库
If∫x0f(t)dt=x+∫1xtf(t)dt, find the value of f(1). View Solution If int_(0)^(x)f(t)dt=x+int_(x)^(1)tf(t)dt , then the value of f(1) is View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions ...
Letg(x)=∫x0f(t)dy=t, where f is such that12≤f(t)≤1fort∈[0,1]and0≤f(t)≤12fort∈[1,2]. then .g(2)satisfies the inequality View Solution Letf(x)=x3−x2+x+1andg(x)be a function defined byg(x)={Max{f(t):0≤t≤x}0≤x≤13−x1≤x≤2Then, g(x) is ...
【解析】 $$ F(-x)= \int _{0}^{-x}f(t)dt $$ 令$$ U=-t $$,则$$ dt=-du $$ $$ t=0 $$时,$$ u=0 $$ $$ t=-x $$时,$$ u=x $$ $$ F(-x)= \int _{0}^{x}f(-u)(-1)du \\ =- \int _{0}^{x}f(-n)du $$ 因$$ f(x) $$因为...