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Popular Calculus Problems

12x^3-3ysqrt(x^4+1)y^'=0	12x^{3}-3y\sqrt{x^{4}+1}y^{\prime\:}=0
integral of (e^u)/u	\int\:\frac{e^{u}}{u}du
derivative of (x^2+4)^3	derivative\:(x^{2}+4)^{3}
integral of (θ^6+sec^2(θ))	\int\:(θ^{6}+\sec^{2}(θ))dθ
tangent of 28-x^2	tangent\:28-x^{2}
integral of y/(3+xy)	\int\:\frac{y}{3+xy}dx
integral of 1/((3x+2)^3)	\int\:\frac{1}{(3x+2)^{3}}dx
derivative of (-4x^2+16)^2	derivative\:(-4x^{2}+16)^{2}
sum from n=1 to infinity of (-3/4)^{n-1}	\sum\:_{n=1}^{\infty\:}(-\frac{3}{4})^{n-1}
integral from 0 to 1 of 8x	\int\:_{0}^{1}8xdx
sum from n=0 to infinity of (n!)/(2n!)	\sum\:_{n=0}^{\infty\:}\frac{n!}{2n!}
maclaurin 3(1+e^{-0.4t})	maclaurin\:3(1+e^{-0.4t})
tangent of y=5x-2sqrt(x),(1,3)	tangent\:y=5x-2\sqrt{x},(1,3)
limit as x approaches 0 of sin(x)-2x	\lim\:_{x\to\:0}(\sin(x)-2x)
integral of 8xy	\int\:8xy
tangent of y=(1+5x)^8,(0,1)	tangent\:y=(1+5x)^{8},(0,1)
derivative of nln(0.4nx+0.6)	\frac{d}{dx}(n\ln(0.4nx+0.6))
derivative of ((x^2))/(8+x)	derivative\:\frac{(x^{2})}{8+x}
area y=x^2,y=2-x^2	area\:y=x^{2},y=2-x^{2}
derivative of e^{x^5}	derivative\:e^{x^{5}}
integral of (x^2+x)\sqrt[3]{x+7}	\int\:(x^{2}+x)\sqrt[3]{x+7}dx
derivative of y=(sqrt(x))/x	derivative\:y=\frac{\sqrt{x}}{x}
t^2y^{''}+17ty^'+64y=0	t^{2}y^{\prime\:\prime\:}+17ty^{\prime\:}+64y=0
limit as x approaches 0 of x(0)	\lim\:_{x\to\:0}(x(0))
(\partial)/(\partial y)(sin(-2x)cos(6y))	\frac{\partial\:}{\partial\:y}(\sin(-2x)\cos(6y))
y^{''}+12y^'+36y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+12y^{\prime\:}+36y=0,y(0)=1,y^{\prime\:}(0)=0
derivative of tan(e^pi)	\frac{d}{dx}(\tan(e^{π}))
derivative of 1/(2sqrt(x+6))	\frac{d}{dx}(\frac{1}{2\sqrt{x+6}})
integral of 1/(4x^2)	\int\:\frac{1}{4x^{2}}dx
integral of (-8x^2)/(sqrt(4x-x^2))	\int\:\frac{-8x^{2}}{\sqrt{4x-x^{2}}}dx
derivative of 3cos(xsin(x))	\frac{d}{dx}(3\cos(x)\sin(x))
integral of ((x-2))/x	\int\:\frac{(x-2)}{x}dx
tangent of f(x)=4x^3-4x,(-1,0)	tangent\:f(x)=4x^{3}-4x,(-1,0)
tangent of f(x)=2e^{2x^2+3x},\at x=0	tangent\:f(x)=2e^{2x^{2}+3x},\at\:x=0
integral of 1/((x+2)(x-2))	\int\:\frac{1}{(x+2)(x-2)}dx
(\partial)/(\partial x)(sin(5pix+4y))	\frac{\partial\:}{\partial\:x}(\sin(5πx+4y))
derivative of (1/(e^x)^{100})	\frac{d}{dx}((\frac{1}{e^{x}})^{100})
integral of (e^x)/((e^x+1)ln(e^x+1))	\int\:\frac{e^{x}}{(e^{x}+1)\ln(e^{x}+1)}dx
tangent of y=ln(x^2),\at x=3	tangent\:y=\ln(x^{2}),\at\:x=3
integral of sinh^2(x)	\int\:\sinh^{2}(x)dx
integral from 0 to 4 of sqrt(x)(x+2)	\int\:_{0}^{4}\sqrt{x}(x+2)dx
x^{''}+5x^'=7	x^{\prime\:\prime\:}+5x^{\prime\:}=7
integral of 4/(t+1)	\int\:\frac{4}{t+1}dt
derivative of x^6e^{8x}	\frac{d}{dx}(x^{6}e^{8x})
integral of (x+2)/(x^2-2x+10)	\int\:\frac{x+2}{x^{2}-2x+10}dx
derivative of ln(x^5)	derivative\:\ln(x^{5})
derivative of (4/5 x)^4	derivative\:(\frac{4}{5}x)^{4}
(\partial)/(\partial x)(sqrt(x-w))	\frac{\partial\:}{\partial\:x}(\sqrt{x-w})
xy^'+4y=(2e^{-4x})/(x^3)	xy^{\prime\:}+4y=\frac{2e^{-4x}}{x^{3}}
tangent of y=-3x^2+10x+2,\at x=1	tangent\:y=-3x^{2}+10x+2,\at\:x=1
(tdu)/(dt)=t^2+3u,t>0,\H(6)=180	\frac{tdu}{dt}=t^{2}+3u,t>0,\H(6)=180
derivative of 5-2x^2	derivative\:5-2x^{2}
(dy)/(dx)=0.05x-450	\frac{dy}{dx}=0.05x-450
inverse oflaplace (0.6)/(s+10)	inverselaplace\:\frac{0.6}{s+10}
integral of (e^{sqrt(x)}-3)/(sqrt(x))	\int\:\frac{e^{\sqrt{x}}-3}{\sqrt{x}}dx
limit as x approaches 1 of 2x^2-3x+4	\lim\:_{x\to\:1}(2x^{2}-3x+4)
derivative of x^{1/11}	\frac{d}{dx}(x^{\frac{1}{11}})
tangent of y=-3cos(x),\at x= 3/4 pi	tangent\:y=-3\cos(x),\at\:x=\frac{3}{4}π
derivative of f(x)=(e^{-2x})/x	derivative\:f(x)=\frac{e^{-2x}}{x}
derivative of (2(x^2+3)/(3sqrt(x)))	\frac{d}{dx}(\frac{2(x^{2}+3)}{3\sqrt{x}})
derivative of (2x^{3/2}/x)	\frac{d}{dx}(\frac{2x^{\frac{3}{2}}}{x})
sum from n=1 to infinity of (3^n)/(n^3)	\sum\:_{n=1}^{\infty\:}\frac{3^{n}}{n^{3}}
integral of (sin(2x))/((1+cos(2x))^3)	\int\:\frac{\sin(2x)}{(1+\cos(2x))^{3}}dx
derivative of f(x)=(x^5)/5+1/(12x^3)	derivative\:f(x)=\frac{x^{5}}{5}+\frac{1}{12x^{3}}
tangent of y=sin(2x)+sin(2)(2x)	tangent\:y=\sin(2x)+\sin(2)(2x)
limit as x approaches-pi/2 of 2tan(x)	\lim\:_{x\to\:-\frac{π}{2}}(2\tan(x))
derivative of (e^{x+1}/(x^2+1))	\frac{d}{dx}(\frac{e^{x+1}}{x^{2}+1})
d/(dt)(-2sin(t))	\frac{d}{dt}(-2\sin(t))
integral of x*arctan(x^2)	\int\:x\cdot\:\arctan(x^{2})dx
slope of (10.8)(1.3)	slope\:(10.8)(1.3)
(\partial)/(\partial x)(y^2e^x)	\frac{\partial\:}{\partial\:x}(y^{2}e^{x})
integral of (1+36x)^{1/2}	\int\:(1+36x)^{\frac{1}{2}}dx
integral of sin(xpi)	\int\:\sin(xπ)dx
integral of (sqrt(x)log_{10}(2x))	\int\:(\sqrt{x}\log_{10}(2x))dx
slope of (0,-2),(6,0)	slope\:(0,-2),(6,0)
derivative of (3+xy/(sqrt(x)))	\frac{d}{dx}(\frac{3+xy}{\sqrt{x}})
derivative of 2\sqrt[3]{x^2}	\frac{d}{dx}(2\sqrt[3]{x^{2}})
integral of \sqrt[3]{x^7}	\int\:\sqrt[3]{x^{7}}dx
integral from 0 to 7/2 of sqrt(49-x^2)	\int\:_{0}^{\frac{7}{2}}\sqrt{49-x^{2}}dx
integral of (e^x)/1	\int\:\frac{e^{x}}{1}dx
limit as x approaches 2 of 3x^2-5x+7	\lim\:_{x\to\:2}(3x^{2}-5x+7)
integral of 3/(x^4+2x^3+x^2)	\int\:\frac{3}{x^{4}+2x^{3}+x^{2}}dx
integral of 34cos(x)cos^3(sin(x))	\int\:34\cos(x)\cos^{3}(\sin(x))dx
f(x)=(pix)/4	f(x)=\frac{πx}{4}
limit as x approaches-infinity of 2^{3x}	\lim\:_{x\to\:-\infty\:}(2^{3x})
(dv)/(dt)=-2sqrt(v),v(0)=4	\frac{dv}{dt}=-2\sqrt{v},v(0)=4
(\partial)/(\partial x)(3x^2-4xy)	\frac{\partial\:}{\partial\:x}(3x^{2}-4xy)
tangent of f(x)=(x^2+2)^2,(0,4)	tangent\:f(x)=(x^{2}+2)^{2},(0,4)
limit as x approaches 2 of (x^2-4)/(x+4)	\lim\:_{x\to\:2}(\frac{x^{2}-4}{x+4})
integral of (3x-2)e^{-x}	\int\:(3x-2)e^{-x}dx
integral of 125	\int\:125
tangent of f(x)=x^3-12x+2	tangent\:f(x)=x^{3}-12x+2
integral from-1 to 2 of (5x^2+1/3 x-1/2)	\int\:_{-1}^{2}(5x^{2}+\frac{1}{3}x-\frac{1}{2})dx
integral from-infinity to infinity of 2x	\int\:_{-\infty\:}^{\infty\:}2xdx
integral of x/((x-3)^2+4^2)	\int\:\frac{x}{(x-3)^{2}+4^{2}}dx
integral from 0.1 to 0.2 of (300x)	\int\:_{0.1}^{0.2}(300x)dx
d/(ds)(2/(s^3))	\frac{d}{ds}(\frac{2}{s^{3}})
limit as x approaches 7 of e^{3/((7-x))}	\lim\:_{x\to\:7}(e^{\frac{3}{(7-x)}})
integral of ((4x^2+6))/((x^2-2x+2)^2)	\int\:\frac{(4x^{2}+6)}{(x^{2}-2x+2)^{2}}dx
integral of (sin(x^2))/x	\int\:\frac{\sin(x^{2})}{x}dx

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