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Popular Calculus Problems

(\partial)/(\partial x)(xye^z)	\frac{\partial\:}{\partial\:x}(xye^{z})
derivative of y=2sin(2x)	derivative\:y=2\sin(2x)
(\partial)/(\partial x)(xye^2)	\frac{\partial\:}{\partial\:x}(xye^{2})
integral from 1 to 3 of (x+2)^3	\int\:_{1}^{3}(x+2)^{3}dx
integral of (x^2-x+13)/((x+1)(x^2+4))	\int\:\frac{x^{2}-x+13}{(x+1)(x^{2}+4)}dx
integral of ln(X)	\int\:\ln(X)dX
limit as x approaches 1+of 2x+5	\lim\:_{x\to\:1+}(2x+5)
integral of (1+x)^2	\int\:(1+x)^{2}dx
integral of 11tan^2(x)sec^3(x)	\int\:11\tan^{2}(x)\sec^{3}(x)dx
integral of sqrt(1+2sin(3x))cos(3x)	\int\:\sqrt{1+2\sin(3x)}\cos(3x)dx
limit as x approaches 1 of 8	\lim\:_{x\to\:1}(8)
limit as x approaches 0 of (2sin(3x))/x	\lim\:_{x\to\:0}(\frac{2\sin(3x)}{x})
integral of 1/(4pit)e^{-(r^2)/(4t)}r	\int\:\frac{1}{4πt}e^{-\frac{r^{2}}{4t}}rdr
inverse oflaplace {1/(4s^2+1)}	inverselaplace\:\left\{\frac{1}{4s^{2}+1}\right\}
integral of 1/(4+5x^2)	\int\:\frac{1}{4+5x^{2}}dx
(\partial)/(\partial y)(2xyz^2)	\frac{\partial\:}{\partial\:y}(2xyz^{2})
y^{''}-4y^'+4y=6e^{2t}-6te^{2t}-12t+12	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=6e^{2t}-6te^{2t}-12t+12
integral of tan^2(2x)sec^4(2x)	\int\:\tan^{2}(2x)\sec^{4}(2x)dx
(dy)/(dx)+y= 1/(1+e^x)	\frac{dy}{dx}+y=\frac{1}{1+e^{x}}
tangent of y=(x^3-9x)^{12},(3,0)	tangent\:y=(x^{3}-9x)^{12},(3,0)
(\partial)/(\partial x)(3ycos(-3x))	\frac{\partial\:}{\partial\:x}(3y\cos(-3x))
derivative of x^2-x-12	\frac{d}{dx}(x^{2}-x-12)
derivative of tan(7)x^2	derivative\:\tan(7)x^{2}
integral from 0 to 1 of 2-x^2	\int\:_{0}^{1}2-x^{2}dx
tangent of y= x/(1+x^2),(0,0)	tangent\:y=\frac{x}{1+x^{2}},(0,0)
derivative of 1/3 x^3+1	\frac{d}{dx}(\frac{1}{3}x^{3}+1)
(dy)/(dx)=9x^2y^2	\frac{dy}{dx}=9x^{2}y^{2}
derivative of sin(x+10tan(x))	\frac{d}{dx}(\sin(x)+10\tan(x))
y^'+0.003y-0.105=0	y^{\prime\:}+0.003y-0.105=0
(\partial)/(\partial z)(yzln(xy))	\frac{\partial\:}{\partial\:z}(yz\ln(xy))
tangent of f(x)=7+3x+4xe^x,\at x=0	tangent\:f(x)=7+3x+4xe^{x},\at\:x=0
derivative of (5x^3+2)^4	derivative\:(5x^{3}+2)^{4}
limit as x approaches-infinity of (1+3/x)^{x/4}	\lim\:_{x\to\:-\infty\:}((1+\frac{3}{x})^{\frac{x}{4}})
integral of ((ln(x^2)))/x	\int\:\frac{(\ln(x^{2}))}{x}dx
derivative of h(t)=(t+5)^{2/3}(3t^2-1)^3	derivative\:h(t)=(t+5)^{\frac{2}{3}}(3t^{2}-1)^{3}
tangent of y=sin(4x)	tangent\:y=\sin(4x)
integral of (cos(x))^3sin(x)	\int\:(\cos(x))^{3}\sin(x)dx
integral from 0 to 3 of ((30-y)-y^{1/3})	\int\:_{0}^{3}((30-y)-y^{\frac{1}{3}})dy
derivative of sin(x-e^x)	\frac{d}{dx}(\sin(x)-e^{x})
y^{''}+2y^'+2y=sin(2t),y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=\sin(2t),y(0)=0,y^{\prime\:}(0)=0
d/(dr(d))([sqrt((12.61)/(0.45))(84.4)]r(d)ad)	\frac{d}{dr(d)}([\sqrt{\frac{12.61}{0.45}}(84.4)]r(d)ad)
integral from-2 to 1 of (1-2x)	\int\:_{-2}^{1}(1-2x)dx
integral of ((tan(x)+sin(x)))/(sec(x))	\int\:\frac{(\tan(x)+\sin(x))}{\sec(x)}dx
integral of (4+x^6)^6x^5	\int\:(4+x^{6})^{6}x^{5}dx
limit as n approaches infinity of (1+((4))/(2x-3))^{2x+1}	\lim\:_{n\to\:\infty\:}((1+\frac{(4)}{2x-3})^{2x+1})
derivative of ln(a+x+sqrt(x^2+2ax))	\frac{d}{dx}(\ln(a+x+\sqrt{x^{2}+2ax}))
(\partial)/(\partial x)(-2xyz^2)	\frac{\partial\:}{\partial\:x}(-2xyz^{2})
integral from 0 to 1 of 1/(x^1)	\int\:_{0}^{1}\frac{1}{x^{1}}dx
integral of (x^3+8)/((x^2-1)(x-2))	\int\:\frac{x^{3}+8}{(x^{2}-1)(x-2)}dx
(dy)/(dx)+(3/x-1)y=-2/x	\frac{dy}{dx}+(\frac{3}{x}-1)y=-\frac{2}{x}
area y=2x,x=3	area\:y=2x,x=3
integral of e^{-st}e^{at}	\int\:e^{-st}e^{at}dt
integral of 2x^4+5x+1	\int\:2x^{4}+5x+1dx
(y^')/y =5	\frac{y^{\prime\:}}{y}=5
sum from n=1 to infinity of 1/(5^{n+2)}	\sum\:_{n=1}^{\infty\:}\frac{1}{5^{n+2}}
derivative of (1/2)^9	derivative\:(\frac{1}{2})^{9}
integral of (3x+1)/(x(x+1))	\int\:\frac{3x+1}{x(x+1)}dx
limit as x approaches 0+of cot(8)	\lim\:_{x\to\:0+}(\cot(8))
derivative of x^2cos^4(x)	derivative\:x^{2}\cos^{4}(x)
integral from 1 to 3 of (4z-z^2)	\int\:_{1}^{3}(4z-z^{2})dz
y^'+4y=2x	y^{\prime\:}+4y=2x
integral of (x^2)/((169+x^2)^2)	\int\:\frac{x^{2}}{(169+x^{2})^{2}}dx
sum from n=0 to infinity of nz^n	\sum\:_{n=0}^{\infty\:}nz^{n}
integral of ((2x+1))/((x+1)(x-2)(x-3))	\int\:\frac{(2x+1)}{(x+1)(x-2)(x-3)}dx
integral of sqrt(7-2x)	\int\:\sqrt{7-2x}dx
derivative of (3x^2tan(x)/(sec(x)))	\frac{d}{dx}(\frac{3x^{2}\tan(x)}{\sec(x)})
derivative of sin(sqrt(cos(tan(pix))))	derivative\:\sin(\sqrt{\cos(\tan(πx))})
derivative of (x^3-x+1^3)	\frac{d}{dx}((x^{3}-x+1)^{3})
limit as x approaches 2+of x/(x^2+4)	\lim\:_{x\to\:2+}(\frac{x}{x^{2}+4})
limit as x approaches 7 of (6x)/(x-7)	\lim\:_{x\to\:7}(\frac{6x}{x-7})
derivative of x^{-9cos(x})	\frac{d}{dx}(x^{-9\cos(x)})
3(dy)/(dt)=y-t^2y	3\frac{dy}{dt}=y-t^{2}y
(\partial)/(\partial x)(cos(4y-3x))	\frac{\partial\:}{\partial\:x}(\cos(4y-3x))
integral of sin(x)tan^2(x)	\int\:\sin(x)\tan^{2}(x)dx
integral of \sqrt[9]{x^8}	\int\:\sqrt[9]{x^{8}}dx
(\partial)/(\partial x)(x^2-2x)	\frac{\partial\:}{\partial\:x}(x^{2}-2x)
integral of (x^2+x-6)	\int\:(x^{2}+x-6)dx
integral of x/(25+4x^2)	\int\:\frac{x}{25+4x^{2}}dx
d/(dt)(k/t)	\frac{d}{dt}(\frac{k}{t})
derivative of e^{xy}(y+x(dy/(dx)))	\frac{d}{dx}(e^{xy}(y+x\frac{dy}{dx}))
integral of 6/(xln(x))	\int\:\frac{6}{x\ln(x)}dx
derivative of sqrt(x^5)-\sqrt[4]{x^9}	\frac{d}{dx}(\sqrt{x^{5}}-\sqrt[4]{x^{9}})
derivative of G(t)=(1-6t)/(2+t)	derivative\:G(t)=\frac{1-6t}{2+t}
sum from n=1 to infinity of (-3/4)^n	\sum\:_{n=1}^{\infty\:}(-\frac{3}{4})^{n}
limit as x approaches 0-of cos(x^2)	\lim\:_{x\to\:0-}(\cos(x^{2}))
integral from 0 to 3 of 1/(sqrt(4-t))	\int\:_{0}^{3}\frac{1}{\sqrt{4-t}}dt
(\partial)/(\partial x)(-z^2)	\frac{\partial\:}{\partial\:x}(-z^{2})
tangent of f(x)=sqrt(5x-1)	tangent\:f(x)=\sqrt{5x-1}
integral from-0.5 to 0 of 1.5x^2	\int\:_{-0.5}^{0}1.5x^{2}dx
x^2y^{''}-6xy^'+10y=0	x^{2}y^{\prime\:\prime\:}-6xy^{\prime\:}+10y=0
tangent of 4x^3-4x	tangent\:4x^{3}-4x
derivative of x^2-8ln(x)	\frac{d}{dx}(x^{2}-8\ln(x))
limit as x approaches 0-of (x^2)/x	\lim\:_{x\to\:0-}(\frac{x^{2}}{x})
derivative of y=(4x-1)^3	derivative\:y=(4x-1)^{3}
tangent of y=7x-x^2,\at x=1	tangent\:y=7x-x^{2},\at\:x=1
f(x)=3^{cos(x)}	f(x)=3^{\cos(x)}
integral of tan(x)	\int\:\tan(x)dx
derivative of (1-e^x/(1+e^x))	\frac{d}{dx}(\frac{1-e^{x}}{1+e^{x}})
deg2rad (ln(x'))^'	deg2rad\:(\ln(x\prime\:))^{\prime\:}
f(x)=4sin(2x)+(2x^5-sqrt(x))/x	f(x)=4\sin(2x)+\frac{2x^{5}-\sqrt{x}}{x}

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