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일반적인 미적분학 문제
limit as x approaches-1 of 1/(x^3-x)
\lim\:_{x\to\:-1}(\frac{1}{x^{3}-x})
y^8-(sqrt(y^9+4))/(sqrt(x^34)y^')=0
y^{8}-\frac{\sqrt{y^{9}+4}}{\sqrt{x^{3}4}y^{\prime\:}}=0
integral of (-xsqrt(x^4))
\int\:(-x\sqrt{x^{4}})dx
integral of (x^2)/(sqrt(5+x^3))
\int\:\frac{x^{2}}{\sqrt{5+x^{3}}}dx
(\partial}{\partial t}(\frac{(s-2r))/t)
\frac{\partial\:}{\partial\:t}(\frac{(s-2r)}{t})
y^'+y+4sin(x)=0
y^{\prime\:}+y+4\sin(x)=0
integral of (31)/((1-x^2)^{3/2)}
\int\:\frac{31}{(1-x^{2})^{\frac{3}{2}}}dx
integral of tan(6x+1)
\int\:\tan(6x+1)dx
integral of (8x^2-7x+12)/(x^3+4x)
\int\:\frac{8x^{2}-7x+12}{x^{3}+4x}dx
derivative of (-2x+3x^{-2}ln(x))
\frac{d}{dx}((-2x+3x^{-2})\ln(x))
derivative of (x^7/(x^4))
\frac{d}{dx}(\frac{x^{7}}{x^{4}})
limit as x approaches 0 of 1+1/(x^2)
\lim\:_{x\to\:0}(1+\frac{1}{x^{2}})
derivative x^3-2x^2y-2y^2-1
derivative\:x^{3}-2x^{2}y-2y^{2}-1
derivative arcsin(x/7)
derivative\:\arcsin(\frac{x}{7})
derivative y=4^{-x}sin(x)
derivative\:y=4^{-x}\sin(x)
integral of (9-x^2)/(7x^3+x)
\int\:\frac{9-x^{2}}{7x^{3}+x}dx
limit as x approaches 2 of (x^7-128)/(x-2)
\lim\:_{x\to\:2}(\frac{x^{7}-128}{x-2})
derivative of ee^x
\frac{d}{dx}(ee^{x})
integral of-2xy
\int\:-2xydx
integral of y-2
\int\:y-2dy
sum from n=1 to infinity of 1/(n^{0.9)}
\sum\:_{n=1}^{\infty\:}\frac{1}{n^{0.9}}
integral of kx
\int\:kxdx
derivative of x+y^3
\frac{d}{dx}(x+y^{3})
limit as x approaches 0 of (tan(7x))^x
\lim\:_{x\to\:0}((\tan(7x))^{x})
integral of (20x)/(sqrt(5x^2-6))
\int\:\frac{20x}{\sqrt{5x^{2}-6}}dx
tangent f(x)= 1/(sqrt(5x))
tangent\:f(x)=\frac{1}{\sqrt{5x}}
derivative 5e^{20}
derivative\:5e^{20}
integral of (x-2)^3ln(x-2)
\int\:(x-2)^{3}\ln(x-2)dx
derivative (4/5 x)^3
derivative\:(\frac{4}{5}x)^{3}
경사지 1-2x^2
slope\:1-2x^{2}
y^'=((x^2+1))/(3y^2)
y^{\prime\:}=\frac{(x^{2}+1)}{3y^{2}}
derivative e^{x^3}
derivative\:e^{x^{3}}
y^{''}+y^'=a*x^2+b*x^3
y^{\prime\:\prime\:}+y^{\prime\:}=a\cdot\:x^{2}+b\cdot\:x^{3}
integral of 6y
\int\:6ydy
integral of ((sqrt(x)+2)^3)/(sqrt(x))
\int\:\frac{(\sqrt{x}+2)^{3}}{\sqrt{x}}dx
(\partial)/(\partial s)(rcos(s))
\frac{\partial\:}{\partial\:s}(r\cos(s))
(x(11-x))/(1100)dx=dt,x(0)=3
\frac{x(11-x)}{1100}dx=dt,x(0)=3
derivative f(x)=sqrt(8)
derivative\:f(x)=\sqrt{8}
derivative of 2-x^{2/3}
\frac{d}{dx}(2-x^{\frac{2}{3}})
integral of (x^4+1)/(2x^2)
\int\:\frac{x^{4}+1}{2x^{2}}dx
integral of x/(x^4+2)
\int\:\frac{x}{x^{4}+2}dx
tangent f(x)= 5/x ,\at x=1
tangent\:f(x)=\frac{5}{x},\at\:x=1
integral of te^t
\int\:te^{t}dt
integral of x/(x^4+1)
\int\:\frac{x}{x^{4}+1}dx
tangent y= 1/(x^6),(1,1)
tangent\:y=\frac{1}{x^{6}},(1,1)
integral of (4x)/((2x^2-7)^{10)}
\int\:\frac{4x}{(2x^{2}-7)^{10}}dx
laplace변환 3t^3
laplacetransform\:3t^{3}
integral of 1/(sqrt(a^2+u^2))
\int\:\frac{1}{\sqrt{a^{2}+u^{2}}}du
경사지 (9,1),(-1,1)
slope\:(9,1),(-1,1)
integral of-2/(x^3)
\int\:-\frac{2}{x^{3}}dx
integral of sqrt(4-x)
\int\:\sqrt{4-x}dx
derivative of 8/(x^2+1)
\frac{d}{dx}(\frac{8}{x^{2}+1})
derivative x(x^2+1)^3
derivative\:x(x^{2}+1)^{3}
tangent f(x)=x^4-4x^2,\at x=1
tangent\:f(x)=x^{4}-4x^{2},\at\:x=1
integral of sqrt(25-y^2)
\int\:\sqrt{25-y^{2}}dy
지역 3x-6,-2x+10,2,5
area\:3x-6,-2x+10,2,5
(dy)/(dx)+xy=0
\frac{dy}{dx}+xy=0
integral of x/(x^2-5x+6)
\int\:\frac{x}{x^{2}-5x+6}dx
derivative of sqrt(1+xln(2))
\frac{d}{dx}(\sqrt{1+x\ln(2)})
integral from 1 to 4 of (x-1)
\int\:_{1}^{4}(x-1)dx
limit as x approaches c of f(x)g(x)
\lim\:_{x\to\:c}(f(x)g(x))
integral from 0 to 1 of 6/(1+x^2)
\int\:_{0}^{1}\frac{6}{1+x^{2}}dx
tangent f(x)=3cot^4(x),\at x= pi/4
tangent\:f(x)=3\cot^{4}(x),\at\:x=\frac{π}{4}
integral of 3/(x^2sqrt(x^2+9))
\int\:\frac{3}{x^{2}\sqrt{x^{2}+9}}dx
derivative of x^{e^2}
\frac{d}{dx}(x^{e^{2}})
integral of (e^x)/(1+64e^{2x)}
\int\:\frac{e^{x}}{1+64e^{2x}}dx
tangent e^{3x}*ln(4x)
tangent\:e^{3x}\cdot\:\ln(4x)
limit as x approaches 2 of 5-3x
\lim\:_{x\to\:2}(5-3x)
derivative of 1/(\sqrt[3]{2x+1})
\frac{d}{dx}(\frac{1}{\sqrt[3]{2x+1}})
derivative of cos(2x-1*tan(1-2x))
\frac{d}{dx}(\cos(2x-1)\cdot\:\tan(1-2x))
integral of 3x(2-3x^2)
\int\:3x(2-3x^{2})dx
integral of tan(x/2)sec^2(x/2)
\int\:\tan(\frac{x}{2})\sec^{2}(\frac{x}{2})dx
y^{'''}+4y^{''}=3x-1
y^{\prime\:\prime\:\prime\:}+4y^{\prime\:\prime\:}=3x-1
integral of e^{(x+3)}
\int\:e^{(x+3)}dx
integral of x^2cos(9x)
\int\:x^{2}\cos(9x)dx
inverse라플라스 1/(5s)
inverselaplace\:\frac{1}{5s}
(\partial)/(\partial x)(xyze^{x^2+y^2+z^2})
\frac{\partial\:}{\partial\:x}(xyze^{x^{2}+y^{2}+z^{2}})
integral of xsqrt(4a^2-x^2)
\int\:x\sqrt{4a^{2}-x^{2}}dx
(\partial)/(\partial y)(x^2+y^2+z^2+xy)
\frac{\partial\:}{\partial\:y}(x^{2}+y^{2}+z^{2}+xy)
limit as x approaches infinity of-1x
\lim\:_{x\to\:\infty\:}(-1x)
지역 y=x,y=0.2x^2-1.2x+3
area\:y=x,y=0.2x^{2}-1.2x+3
derivative sqrt(25+16t^2)
derivative\:\sqrt{25+16t^{2}}
derivative (x+y)^2
derivative\:(x+y)^{2}
derivative xsqrt(2-x^2)
derivative\:x\sqrt{2-x^{2}}
laplace변환 e^{-3t}sin(4t)
laplacetransform\:e^{-3t}\sin(4t)
integral of 1/(y(y^2+1))
\int\:\frac{1}{y(y^{2}+1)}dy
derivative f(x)=6\sqrt[3]{x}
derivative\:f(x)=6\sqrt[3]{x}
integral of (sqrt(25-4x^2))/x
\int\:\frac{\sqrt{25-4x^{2}}}{x}dx
integral from 2 to infinity of 1/(x^2+4)
\int\:_{2}^{\infty\:}\frac{1}{x^{2}+4}dx
derivative (y^3)/(18)+3/(2y)
derivative\:\frac{y^{3}}{18}+\frac{3}{2y}
(\partial)/(\partial x)(x^y+y)
\frac{\partial\:}{\partial\:x}(x^{y}+y)
derivative 4/x
derivative\:\frac{4}{x}
integral of (3x^2+6x)(x^3+3x^2+1)^{2/3}
\int\:(3x^{2}+6x)(x^{3}+3x^{2}+1)^{\frac{2}{3}}dx
integral of (x+3)/(sqrt(x^2+4x+5))
\int\:\frac{x+3}{\sqrt{x^{2}+4x+5}}dx
derivative ln(7x^2+3y^2)
derivative\:\ln(7x^{2}+3y^{2})
integral of cot^3(3x)csc^5(3x)
\int\:\cot^{3}(3x)\csc^{5}(3x)dx
(\partial)/(\partial x)(sin(xy)ln(x+y))
\frac{\partial\:}{\partial\:x}(\sin(xy)\ln(x+y))
integral of (1-y^2)^2
\int\:(1-y^{2})^{2}dy
derivative y= 1/((7x+12)^3)
derivative\:y=\frac{1}{(7x+12)^{3}}
derivative of \sqrt[4]{(e^{5x}/(x^2+1)})
\frac{d}{dx}(\sqrt[4]{\frac{e^{5x}}{x^{2}+1}})
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