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Popular Calculus Problems

(\partial)/(\partial x)(sqrt(4-x^2-2y))	\frac{\partial\:}{\partial\:x}(\sqrt{4-x^{2}-2y})
integral of (1/(4x^2))	\int\:(\frac{1}{4x^{2}})dx
area 9x, 3/4 x,70-x^2	area\:9x,\frac{3}{4}x,70-x^{2}
derivative of g(x)=3x^2log_{3}(x)	derivative\:g(x)=3x^{2}\log_{3}(x)
derivative of (x^3/(e^{2x)})	\frac{d}{dx}(\frac{x^{3}}{e^{2x}})
integral of 4/15 t^{5/2}+2cos(t)+Ct+C	\int\:\frac{4}{15}t^{\frac{5}{2}}+2\cos(t)+Ct+Cdt
normal of y=x^3-3x+3,(3,21)	normal\:y=x^{3}-3x+3,(3,21)
taylor cos(4x)	taylor\:\cos(4x)
derivative of csc(x)(x+cot(x))	derivative\:\csc(x)(x+\cot(x))
derivative of e^{-x^2}	derivative\:e^{-x^{2}}
integral from 0 to sin(x) of 6sqrt(t)	\int\:_{0}^{\sin(x)}6\sqrt{t}dt
y^{''}+2y^'-48y=0	y^{\prime\:\prime\:}+2y^{\prime\:}-48y=0
integral of u/u	\int\:\frac{u}{u}du
tangent of f(x)= 1/x+4,(-2,8)	tangent\:f(x)=\frac{1}{x}+4,(-2,8)
(\partial)/(\partial x)(3t^2e^{4x})	\frac{\partial\:}{\partial\:x}(3t^{2}e^{4x})
limit as x approaches 1 of (3x-1)^2	\lim\:_{x\to\:1}((3x-1)^{2})
x^2y^{''}+3xy^'+y=0	x^{2}y^{\prime\:\prime\:}+3xy^{\prime\:}+y=0
inverse oflaplace s^s	inverselaplace\:s^{s}
derivative of y=sqrt(3x)+\sqrt[3]{x}+1/x	derivative\:y=\sqrt{3x}+\sqrt[3]{x}+\frac{1}{x}
derivative of 2ln(x^3)	\frac{d}{dx}(2\ln(x^{3}))
(dy)/(dx)(x^2+1)+7x(y-1)=0	\frac{dy}{dx}(x^{2}+1)+7x(y-1)=0
integral from 0 to 1 of (41)/(x^5)	\int\:_{0}^{1}\frac{41}{x^{5}}dx
derivative of x/(x-37)	\frac{d}{dx}(\frac{x}{x-37})
f(x)=sin(3x^2)	f(x)=\sin(3x^{2})
integral of 1/20	\int\:\frac{1}{20}dx
derivative of f(x)=e^{x^2}	derivative\:f(x)=e^{x^{2}}
integral of-sin^3(x)	\int\:-\sin^{3}(x)dx
integral of 4/(cos(x)-1)	\int\:\frac{4}{\cos(x)-1}dx
y^{''}+49y=sin(7t)	y^{\prime\:\prime\:}+49y=\sin(7t)
limit as x approaches 1 of (x-8+7)/(x-1)	\lim\:_{x\to\:1}(\frac{x-8+7}{x-1})
derivative of y= x/(2x+\frac{-4){x}}	derivative\:y=\frac{x}{2x+\frac{-4}{x}}
9yy^'+4x=0	9yy^{\prime\:}+4x=0
taylor e^{cos(x)}	taylor\:e^{\cos(x)}
derivative of csc^9(x)	\frac{d}{dx}(\csc^{9}(x))
tangent of (4x)/(x+2)(2.2)	tangent\:\frac{4x}{x+2}(2.2)
tangent of 1/(sqrt(10x)),\at x=9	tangent\:\frac{1}{\sqrt{10x}},\at\:x=9
derivative of (x^3/(x^2-9))	\frac{d}{dx}(\frac{x^{3}}{x^{2}-9})
integral of ln(x)	\int\:\ln(x)dx
integral of (t^3-8t+1)/((2t)^4)	\int\:\frac{t^{3}-8t+1}{(2t)^{4}}dt
derivative of y=ln((3+e^x)/(3-e^x))	derivative\:y=\ln(\frac{3+e^{x}}{3-e^{x}})
tangent of f(x)=(ln(x))^3,\at x=9	tangent\:f(x)=(\ln(x))^{3},\at\:x=9
limit as x approaches 0 of (2-2cos(x))/x	\lim\:_{x\to\:0}(\frac{2-2\cos(x)}{x})
integral from a to b of x	\int\:_{a}^{b}xdx
area y^2-2x=9,x-y=3[-4.5,8]	area\:y^{2}-2x=9,x-y=3[-4.5,8]
integral of (1372x)\sqrt[3]{7x+1}	\int\:(1372x)\sqrt[3]{7x+1}dx
derivative of ln(arctan(3x^3))	\frac{d}{dx}(\ln(\arctan(3x^{3})))
derivative of a/(x^2+a^2)	\frac{d}{dx}(\frac{a}{x^{2}+a^{2}})
(1+cos(t))y^'=(1+e^{-y})sin(t)	(1+\cos(t))y^{\prime\:}=(1+e^{-y})\sin(t)
derivative of \sqrt[3]{1+x^4}	\frac{d}{dx}(\sqrt[3]{1+x^{4}})
derivative of log_{4}(2x+3)	\frac{d}{dx}(\log_{4}(2x+3))
derivative of f(x)=(5t^2-2t+1)^{3/2}	derivative\:f(x)=(5t^{2}-2t+1)^{\frac{3}{2}}
integral from 1 to 2 of 1/((x+1)^2)	\int\:_{1}^{2}\frac{1}{(x+1)^{2}}dx
derivative of f(x)=\|x-1\|	derivative\:f(x)=\left\|x-1\right\|
(\partial)/(\partial y)(ln(x+3y))	\frac{\partial\:}{\partial\:y}(\ln(x+3y))
integral of (x-2)/(x^2-x)	\int\:\frac{x-2}{x^{2}-x}dx
integral from 0 to 2 of 2^x	\int\:_{0}^{2}2^{x}dx
integral of 1/(3x^2+1)	\int\:\frac{1}{3x^{2}+1}dx
ydu+(2y-u)dy=0	ydu+(2y-u)dy=0
integral of 1/(4x+2)	\int\:\frac{1}{4x+2}dx
sum from k=0 to infinity of (2k+1)x^{2k}	\sum\:_{k=0}^{\infty\:}(2k+1)x^{2k}
y^'-y^2=1	y^{\prime\:}-y^{2}=1
sum from n=1 to infinity of (-1/4)^n	\sum\:_{n=1}^{\infty\:}(-\frac{1}{4})^{n}
(dy)/(dx)-y/x =8xe^x	\frac{dy}{dx}-\frac{y}{x}=8xe^{x}
area y=3sin(x),y=e^x,x=0,x= pi/2	area\:y=3\sin(x),y=e^{x},x=0,x=\frac{π}{2}
derivative of (8^{8t})/t	derivative\:\frac{8^{8t}}{t}
derivative of csc^2(2x)	derivative\:\csc^{2}(2x)
tangent of y=5x-2x^2-x	tangent\:y=5x-2x^{2}-x
derivative of x^{5/7}	derivative\:x^{\frac{5}{7}}
integral of 1/(x^{-1/2)-x}	\int\:\frac{1}{x^{-\frac{1}{2}}-x}dx
(dy)/(dx)+2y=e^xy^{-4}	\frac{dy}{dx}+2y=e^{x}y^{-4}
(dy)/(dx)=2xy+xy^2	\frac{dy}{dx}=2xy+xy^{2}
sum from n=0 to infinity of 2+(0.86)^n	\sum\:_{n=0}^{\infty\:}2+(0.86)^{n}
integral of (e^{2x}-e^{-2x})^2	\int\:(e^{2x}-e^{-2x})^{2}dx
(dy)/(dt)=ky	\frac{dy}{dt}=ky
(\partial)/(\partial r)(r^2)	\frac{\partial\:}{\partial\:r}(r^{2})
limit as x approaches-infinity of x^3	\lim\:_{x\to\:-\infty\:}(x^{3})
(\partial)/(\partial x)(((x*y))/((x+y)))	\frac{\partial\:}{\partial\:x}(\frac{(x\cdot\:y)}{(x+y)})
integral of yt^3-1.5y	\int\:yt^{3}-1.5ydt
limit as x approaches 0 of 4/(x^2)	\lim\:_{x\to\:0}(\frac{4}{x^{2}})
integral of cos(2t)*e^{-st}	\int\:\cos(2t)\cdot\:e^{-st}dt
integral of 1/(e^{3x)+e^{-3x}}	\int\:\frac{1}{e^{3x}+e^{-3x}}dx
integral of (e^{-x}-e^5)(e^x+e^{-3})	\int\:(e^{-x}-e^{5})(e^{x}+e^{-3})dx
integral of 1/(3(2x-1)^2)	\int\:\frac{1}{3(2x-1)^{2}}dx
derivative of 1/(\sqrt[3]{x^2+x+5})	\frac{d}{dx}(\frac{1}{\sqrt[3]{x^{2}+x+5}})
integral from 0 to 2 of e^x-e^{-x}	\int\:_{0}^{2}e^{x}-e^{-x}dx
derivative of g(x)=(4x^2-x+2)/(3-4x)	derivative\:g(x)=\frac{4x^{2}-x+2}{3-4x}
slope of y=3x^2+2xxa	slope\:y=3x^{2}+2xxa
limit as x approaches 0 of x^6(cos(9/x))	\lim\:_{x\to\:0}(x^{6}(\cos(\frac{9}{x})))
area y=e^{-8x},x>= 0	area\:y=e^{-8x},x\ge\:0
derivative of sin(7x+sin^2(7x))	\frac{d}{dx}(\sin(7x)+\sin^{2}(7x))
sum from n=1 to infinity of 1/(n^2+2n+2)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{2}+2n+2}
tangent of f(x)=5x^3-2x,\at x=-1	tangent\:f(x)=5x^{3}-2x,\at\:x=-1
derivative of 9\sqrt[3]{x}	\frac{d}{dx}(9\sqrt[3]{x})
integral of xace^{-acx+abc-1}	\int\:x\cdot\:ac\cdot\:e^{-acx+abc-1}dx
derivative of 4x^4ln(x)	\frac{d}{dx}(4x^{4}\ln(x))
integral of (2x^2)/((4+x^2)^2)	\int\:\frac{2x^{2}}{(4+x^{2})^{2}}dx
y^'=x-x^2	y^{\prime\:}=x-x^{2}
derivative of f(x)=10x+ln(10x)	derivative\:f(x)=10x+\ln(10x)
tangent of y=x^3-9x,(3,0)	tangent\:y=x^{3}-9x,(3,0)
f(x)=sqrt(x-5)	f(x)=\sqrt{x-5}

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