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Popular Calculus Problems

slope of (2010,73.1),(2000,71.3)	slope\:(2010,73.1),(2000,71.3)
integral of cos^2(y)	\int\:\cos^{2}(y)dy
sum from n=1 to infinity of n/(5^n)	\sum\:_{n=1}^{\infty\:}\frac{n}{5^{n}}
(\partial)/(\partial x)(x^2+xy-10)	\frac{\partial\:}{\partial\:x}(x^{2}+xy-10)
derivative of 2x^3cos(xsin(x))	\frac{d}{dx}(2x^{3}\cos(x)\sin(x))
sum from n=0 to infinity of ((-1)^n)/2	\sum\:_{n=0}^{\infty\:}\frac{(-1)^{n}}{2}
limit as t approaches 0 of (e^{7t}-1)/(sin(t))	\lim\:_{t\to\:0}(\frac{e^{7t}-1}{\sin(t)})
(\partial)/(\partial x)(3x+7)	\frac{\partial\:}{\partial\:x}(3x+7)
derivative of x^{3pi}	derivative\:x^{3π}
derivative of e^x+x^e	derivative\:e^{x}+x^{e}
derivative of (2-x(1-2x))	\frac{d}{dx}((2-x)(1-2x))
derivative of 4cot(1/4 x)	\frac{d}{dx}(4\cot(\frac{1}{4}x))
integral of (3x+1)cos(x)	\int\:(3x+1)\cos(x)dx
integral of e^{-13x}	\int\:e^{-13x}dx
inverse oflaplace (18)/(s^2+5s+6)+6/s	inverselaplace\:\frac{18}{s^{2}+5s+6}+\frac{6}{s}
derivative of (4x+3)(x^2-1)^2	derivative\:(4x+3)(x^{2}-1)^{2}
derivative of (x/(x^2+1)^2)	\frac{d}{dx}((\frac{x}{x^{2}+1})^{2})
limit as x approaches e of 1/2 ln(x)	\lim\:_{x\to\:e}(\frac{1}{2}\ln(x))
derivative of sin((pix^9))	\frac{d}{dx}(\sin((πx)^{9}))
tangent of f(x)=sqrt(8x-10),(4,sqrt(22))	tangent\:f(x)=\sqrt{8x-10},(4,\sqrt{22})
x^{''}+4/5 x^'+4x=5,x(0)=0,x^'(0)=0	x^{\prime\:\prime\:}+\frac{4}{5}x^{\prime\:}+4x=5,x(0)=0,x^{\prime\:}(0)=0
maclaurin sin(5x)	maclaurin\:\sin(5x)
slope of (-8,-3),(-1,-2)	slope\:(-8,-3),(-1,-2)
derivative of (x+1(x+3))	\frac{d}{dx}((x+1)(x+3))
limit as x approaches 2 of 3x^2-x-2	\lim\:_{x\to\:2}(3x^{2}-x-2)
derivative of sqrt(7x+8)	derivative\:\sqrt{7x+8}
integral of 3/((3x+4)ln(3x+4))	\int\:\frac{3}{(3x+4)\ln(3x+4)}dx
limit as x approaches 0 of sin(3x)cot(x)	\lim\:_{x\to\:0}(\sin(3x)\cot(x))
limit as x approaches-7+of (-x^2)/(x+7)	\lim\:_{x\to\:-7+}(\frac{-x^{2}}{x+7})
limit as x approaches 1 of (-2x^2)/(x-1)	\lim\:_{x\to\:1}(\frac{-2x^{2}}{x-1})
integral from 0 to 1 of 2ln(x)	\int\:_{0}^{1}2\ln(x)dx
integral of log_{e}(sqrt(x^2+1)-x)	\int\:\log_{e}(\sqrt{x^{2}+1}-x)dx
derivative of sqrt(3-4x)	derivative\:\sqrt{3-4x}
integral of 2x^{13}e^{x^7}	\int\:2x^{13}e^{x^{7}}dx
limit as x approaches 0 of (2^x-1)/2	\lim\:_{x\to\:0}(\frac{2^{x}-1}{2})
derivative of e^{(x+sqrt(x^2+1)})	\frac{d}{dx}(e^{(x+\sqrt{x^{2}+1})})
derivative of 8xln(x)	\frac{d}{dx}(8x\ln(x))
derivative of sqrt(r^2-5x^2)	derivative\:\sqrt{r^{2}-5x^{2}}
integral of x/(1+3x^2)	\int\:\frac{x}{1+3x^{2}}dx
derivative of \sqrt[3]{-3x^2+5x+1}	\frac{d}{dx}(\sqrt[3]{-3x^{2}+5x+1})
integral of (3e^x+8x^3+4x)	\int\:(3e^{x}+8x^{3}+4x)dx
derivative of 3/(\sqrt[4]{x})	\frac{d}{dx}(\frac{3}{\sqrt[4]{x}})
derivative of ln(x+sqrt(x^2-5))	\frac{d}{dx}(\ln(x+\sqrt{x^{2}-5}))
limit as x approaches 0-of h(x)	\lim\:_{x\to\:0-}(h(x))
derivative of f(x)=ln((x^2)/(x^2+1))	derivative\:f(x)=\ln(\frac{x^{2}}{x^{2}+1})
integral from 1 to 6 of 4/(x^2+4x+4)	\int\:_{1}^{6}\frac{4}{x^{2}+4x+4}dx
integral of (arcsin(x))/(sqrt(1-x^2))	\int\:\frac{\arcsin(x)}{\sqrt{1-x^{2}}}dx
(\partial)/(\partial x)(((3x^4-2xy))/(y^2))	\frac{\partial\:}{\partial\:x}(\frac{(3x^{4}-2xy)}{y^{2}})
integral of (2x)/(sqrt(x^4+4))	\int\:\frac{2x}{\sqrt{x^{4}+4}}dx
(dy}{dx}=\frac{6x)/y	\frac{dy}{dx}=\frac{6x}{y}
derivative of sqrt(x^2+1)	derivative\:\sqrt{x^{2}+1}
integral of (3x)/(x^2+6x+9)	\int\:\frac{3x}{x^{2}+6x+9}dx
derivative of in(2x)	\frac{d}{dx}(in(2x))
limit as x approaches+3-of 1/(9-x^2)	\lim\:_{x\to\:+3-}(\frac{1}{9-x^{2}})
integral of sin((npix)/a)	\int\:\sin(\frac{nπx}{a})dx
integral of sqrt(8-x)	\int\:\sqrt{8-x}dx
integral of 2/3 (x+3)^{3/2}	\int\:\frac{2}{3}(x+3)^{\frac{3}{2}}dx
integral of (3-x)/(x^2+1)+xln(x^2)	\int\:\frac{3-x}{x^{2}+1}+x\ln(x^{2})dx
integral of (2x+3)/(x^2)	\int\:\frac{2x+3}{x^{2}}dx
slope ofintercept (0.9)(4)	slopeintercept\:(0.9)(4)
laplacetransform e^{-t}sin(2t)	laplacetransform\:e^{-t}\sin(2t)
integral from 1 to 2 of (1/x)	\int\:_{1}^{2}(\frac{1}{x})dx
integral of (sin(2x))/(11+cos^2(x))	\int\:\frac{\sin(2x)}{11+\cos^{2}(x)}dx
integral of tan^3(x)*sec(x)	\int\:\tan^{3}(x)\cdot\:\sec(x)dx
(\partial)/(\partial x)(cos(x^2*y))	\frac{\partial\:}{\partial\:x}(\cos(x^{2}\cdot\:y))
limit as h approaches 0 of (4^h-1)/h	\lim\:_{h\to\:0}(\frac{4^{h}-1}{h})
limit as x approaches (13pi)/3 of cos(x)	\lim\:_{x\to\:\frac{13π}{3}}(\cos(x))
integral of (e^x)/x	\int\:\frac{e^{x}}{x}dx
area x^3,x^2+x,-1,1.6	area\:x^{3},x^{2}+x,-1,1.6
derivative of (8x+1)/(sqrt(x))	derivative\:\frac{8x+1}{\sqrt{x}}
tangent of f(x)=x^2-2x+1,\at x=-1	tangent\:f(x)=x^{2}-2x+1,\at\:x=-1
area f(x)=3+2x-x^2,g(x)=x^2-4x+3	area\:f(x)=3+2x-x^{2},g(x)=x^{2}-4x+3
area y=sqrt(x),y= 1/4 x,x=25	area\:y=\sqrt{x},y=\frac{1}{4}x,x=25
tangent of f(x)=-x^3	tangent\:f(x)=-x^{3}
(\partial)/(\partial y)(1/2 sin(2x-y))	\frac{\partial\:}{\partial\:y}(\frac{1}{2}\sin(2x-y))
integral from 5 to infinity of xe^{-2x}	\int\:_{5}^{\infty\:}xe^{-2x}dx
tangent of f(x)=7x^2+4x	tangent\:f(x)=7x^{2}+4x
integral of 3e^x+8x^3+4x	\int\:3e^{x}+8x^{3}+4xdx
derivative of cos(1/4 x^3)	\frac{d}{dx}(\cos(\frac{1}{4}x^{3}))
derivative of (e^{4x}/(x^8))	\frac{d}{dx}(\frac{e^{4x}}{x^{8}})
integral of cos^2(t)sin(t)	\int\:\cos^{2}(t)\sin(t)dt
sum from n=3 to infinity of (4/5)^n	\sum\:_{n=3}^{\infty\:}(\frac{4}{5})^{n}
(dy)/(dx)=y^2+1,y(1)=0	\frac{dy}{dx}=y^{2}+1,y(1)=0
y^{''}+2y^'=0	y^{\prime\:\prime\:}+2y^{\prime\:}=0
(dy)/(dx)=e^{2y+9x}	\frac{dy}{dx}=e^{2y+9x}
(dx)/(dt)=kx	\frac{dx}{dt}=kx
derivative of (x^3+4x^7)	\frac{d}{dx}((x^{3}+4x)^{7})
limit as x approaches 0 of 3x^x	\lim\:_{x\to\:0}(3x^{x})
integral of ((x-1))/x	\int\:\frac{(x-1)}{x}dx
integral of (x^2-x+2)	\int\:(x^{2}-x+2)dx
integral of sqrt(e^{-2t)+e^{2t}+2}	\int\:\sqrt{e^{-2t}+e^{2t}+2}dt
domain of f(x)=(3x^2)^{2x}(x^2+2x)^2	domain\:f(x)=(3x^{2})^{2x}(x^{2}+2x)^{2}
y^{''}-6y^'+2y=0,y(0)=0,y^'(0)=9	y^{\prime\:\prime\:}-6y^{\prime\:}+2y=0,y(0)=0,y^{\prime\:}(0)=9
(dy)/(dt)= 1/5 t	\frac{dy}{dt}=\frac{1}{5}t
y^{''}-0.2y^'+0.01y=0,y(0)=12,y^'(0)=b	y^{\prime\:\prime\:}-0.2y^{\prime\:}+0.01y=0,y(0)=12,y^{\prime\:}(0)=b
derivative of ((x^2/8+x-1/x)^4)	\frac{d}{dx}((\frac{x^{2}}{8}+x-\frac{1}{x})^{4})
derivative of 9/(t^2)-3/t	derivative\:\frac{9}{t^{2}}-\frac{3}{t}
integral of sin^5(5x)cos^3(5x)	\int\:\sin^{5}(5x)\cos^{3}(5x)dx
(\partial)/(\partial x)((-6x-y)/(y^2+2x^2))	\frac{\partial\:}{\partial\:x}(\frac{-6x-y}{y^{2}+2x^{2}})
derivative of-(4x/((-x+1)^2(x+1)^2))	\frac{d}{dx}(-\frac{4x}{(-x+1)^{2}(x+1)^{2}})

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