1.求下列曲线的弧长:-|||-(1) =(x)^3/2, (2)、 sqrt (x)+sqrt (y)=1;-|||-(3) =a(cos )^3t, =a(
计算下列各导数:(1) (d)/(dx)int_(0)^x^2sqrt(1+t^2)dt;(2) (d)/(dx)int_(x^2)^x^3(dt)/(sqrt
int dfrac (sin sqrt {t)}(sqrt {t)}dt= __
(3)设f(x)=int_(-1)^xsqrt[3](1+t)ln|1+t|dt,则f^prime(-1)=_cdot(3)设$f(x)=\int_{-1}^{
分) 设 (x)=(int )_({x)^2}dfrac (t)(sqrt {1+{t)^3}}dt 求 =(int )_(0)^1xF(x)dx
12.设L是从点 (sqrt (2),1) 沿曲线 =(x)^2 到点 (2sqrt (2),4) 的弧段,则第一-|||-类曲线积分 =(int )_(1)^
【题目】-|||-求 lim _(xarrow {0)^+}dfrac ({int )_(0)^xsqrt (x-t)(e)^tdt}(sqrt {{x)^3}
(B) ^(x^4-2x)-1.-|||-(C) (int )_(0)^(x^2)sin (t)^2dt. (D) sqrt (1+2x)-sqrt [3](1
3.[单选题] 曲线ρ=sin^3(θ)/(3)(0≤θ≤(π)/(2))的弧长为()A. $\frac{π}{4}+\frac{3\sqrt{3}}{8}$B
(3)设L为半圆周 =sqrt (4x-{x)^2-3}, 则 _(1)=(int )_(L)dfrac (1)(sqrt [3]{x)}ds 与 _(2)=(