int0^x f(t)dt=x+intx^1 tf(t)dt হলে f(1) এর মান নির্ণয় করো।
If int_(0)^(x)f(t)dt=x+int_(x)^(1)tf(t)dt , then the value of f(1) is View Solution Let f(x)=∫x0costtdt,(x>0),then for x = (2n+1)π2f(x) has View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE
已知连续函数f(x)满足∫0xf(t)dt+∫0xtf(x-t)dt=ax2(a)求f(x);(b)若f(x)在区间[0,1]上的平均值为1,求a的值. 答案: 点击查看答案 手机看题 你可能感兴趣的试题 问答题 【计算题】 求不定积分 答案: 利用分部积分法 点击查看答案 手机看题 填空题 设A为三阶矩阵,α1,α2,α3...
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...
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 ...
【解析】令$$ u = x - t $$,原方程化为: $$\left\{ \begin{matrix} \int _ { 0 } ^ { x } f ( t ) d t = x + x \int _ { 0 } ^ { x } f ( u ) d u - \\ \int _ { 0 } ^ { x } u f ( u ) d u \end{matrix} \right.$$ 两边对x求导...
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...
∫0xtf(x–t)dt 进行求导运算的结果是什么? 二、解析 令u = x − t,则: t=x–u. dt=–du. 又由于 t ∈ (0,x), 因此,u = x − t ∈ (x,0). Next 于是: ∫0xtf(x–t)dt= –∫x0(x–u)f(u)du= ∫0x(x–u)f(u)du= ∫0xx⋅f(u)du–∫0xu⋅f(u)du= x∫0x...
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 ...
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 ...