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Popular Calculus Problems

slope ofintercept (3,-6),(5,-5)	slopeintercept\:(3,-6),(5,-5)
(dy)/(dx)=9xe^y	\frac{dy}{dx}=9xe^{y}
integral of sec^3(7x-1)	\int\:\sec^{3}(7x-1)dx
integral of (t^2)/((t^2-9)^{5/2)}	\int\:\frac{t^{2}}{(t^{2}-9)^{\frac{5}{2}}}dt
d/(dt)(6t-t^3)	\frac{d}{dt}(6t-t^{3})
derivative of (1-x^2)^{1/2}	derivative\:(1-x^{2})^{\frac{1}{2}}
limit as x approaches p(x) of (f(x)-f(p))/(x-p(x))	\lim\:_{x\to\:p(x)}(\frac{f(x)-f(p)}{x-p(x)})
limit as h approaches 0 of (sin(pi/3+h)-sin(pi/3))/h	\lim\:_{h\to\:0}(\frac{\sin(\frac{π}{3}+h)-\sin(\frac{π}{3})}{h})
integral of 1/(49e^{-6x)+e^{6x}}	\int\:\frac{1}{49e^{-6x}+e^{6x}}dx
y^{''}+y=cos^2(t),y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+y=\cos^{2}(t),y(0)=0,y^{\prime\:}(0)=0
(\partial)/(\partial x)(sqrt(25+18x-y))	\frac{\partial\:}{\partial\:x}(\sqrt{25+18x-y})
integral of x/(x^2+8x+20)	\int\:\frac{x}{x^{2}+8x+20}dx
integral of e^{cos(2x)}sin(x)cos(x)	\int\:e^{\cos(2x)}\sin(x)\cos(x)dx
limit as x approaches+(-1) of x^2+x+1	\lim\:_{x\to\:+(-1)}(x^{2}+x+1)
(t^2+x^2)dt+(2tx-x)dx=0	(t^{2}+x^{2})dt+(2tx-x)dx=0
derivative of x^4-4x^2-10x	\frac{d}{dx}(x^{4}-4x^{2}-10x)
limit as x approaches 0-of-7x^2+5x	\lim\:_{x\to\:0-}(-7x^{2}+5x)
derivative of y=(6x-1)/(8x+3)	derivative\:y=\frac{6x-1}{8x+3}
taylor tan^{-1}(x)	taylor\:\tan^{-1}(x)
y^'=6y+2t-4	y^{\prime\:}=6y+2t-4
derivative of (2-6x^{0.5})	\frac{d}{dx}((2-6x)^{0.5})
derivative of 0.1x^2	\frac{d}{dx}(0.1x^{2})
integral of (x+2)/(sqrt(4-x^2))	\int\:\frac{x+2}{\sqrt{4-x^{2}}}dx
laplacetransform e^x	laplacetransform\:e^{x}
(\partial)/(\partial x)(x^3+yz^2)	\frac{\partial\:}{\partial\:x}(x^{3}+yz^{2})
limit as x approaches 3 of 1/(ln^2(x/3))	\lim\:_{x\to\:3}(\frac{1}{\ln^{2}(\frac{x}{3})})
derivative of (x^2-2)^2	derivative\:(x^{2}-2)^{2}
(\partial)/(\partial z)(xy+yz)	\frac{\partial\:}{\partial\:z}(xy+yz)
integral of e^{3x}(e^{3x-8})^5	\int\:e^{3x}(e^{3x-8})^{5}dx
y^'=3x+y	y^{\prime\:}=3x+y
(d^3)/(dx^3)(ln(x+1))	\frac{d^{3}}{dx^{3}}(\ln(x+1))
implicit (dy)/(dx),y^3=x+y	implicit\:\frac{dy}{dx},y^{3}=x+y
integral of sqrt(x)+1/(sqrt(x))	\int\:\sqrt{x}+\frac{1}{\sqrt{x}}dx
(\partial)/(\partial y)((x+2y)/(x^2-y))	\frac{\partial\:}{\partial\:y}(\frac{x+2y}{x^{2}-y})
slope of (0,2),(4,-2)	slope\:(0,2),(4,-2)
derivative of x/(x^2-6)	derivative\:\frac{x}{x^{2}-6}
integral of 1/(16sin^2(x))	\int\:\frac{1}{16\sin^{2}(x)}dx
81y^{''}+18y^'+y=0	81y^{\prime\:\prime\:}+18y^{\prime\:}+y=0
slope of (1.2)(2.4)	slope\:(1.2)(2.4)
derivative of \sqrt[4]{cos(e^{6x}})	\frac{d}{dx}(\sqrt[4]{\cos(e^{6x})})
derivative of (4x^3+3x^2/x)	\frac{d}{dx}(\frac{4x^{3}+3x^{2}}{x})
area sin(x), 1/2	area\:\sin(x),\frac{1}{2}
parity f(x)=tan^{40}(sec(cos(x)))	parity\:f(x)=\tan^{40}(\sec(\cos(x)))
integral of 3sin^3(x)	\int\:3\sin^{3}(x)dx
y^{''}+16y=-32sin(4t)	y^{\prime\:\prime\:}+16y=-32\sin(4t)
derivative of 3arcsin(x^3)	derivative\:3\arcsin(x^{3})
(dv)/(dt)=v^2+5v+6	\frac{dv}{dt}=v^{2}+5v+6
f(x)=x*ln(x)-x	f(x)=x\cdot\:\ln(x)-x
limit as x approaches 0 of x^{-1}-1	\lim\:_{x\to\:0}(x^{-1}-1)
area y=8x-x^2,y=0	area\:y=8x-x^{2},y=0
roots asin(t)	roots\:a\sin(t)
integral of sin((npix)/2)	\int\:\sin(\frac{nπx}{2})dx
integral of e^{cos(16t)}sin(16t)	\int\:e^{\cos(16t)}\sin(16t)dt
integral of y^2cos(x)	\int\:y^{2}\cos(x)dx
area y=sin(x),y=sin^3(x),x=0,x= pi/2	area\:y=\sin(x),y=\sin^{3}(x),x=0,x=\frac{π}{2}
y^{''}+16y=-16sin(4t)	y^{\prime\:\prime\:}+16y=-16\sin(4t)
integral from s to g of 1/(1-2*m/r)	\int\:_{s}^{g}\frac{1}{1-2\cdot\:\frac{m}{r}}dr
derivative of x^2-x-10	\frac{d}{dx}(x^{2}-x-10)
integral of (3x+1)/(x^2+3x)	\int\:\frac{3x+1}{x^{2}+3x}dx
integral of 1/(x^2-4x)	\int\:\frac{1}{x^{2}-4x}dx
inverse oflaplace (e^{-s})/(s^2+4)	inverselaplace\:\frac{e^{-s}}{s^{2}+4}
derivative of 6sin^3(sqrt(x))	\frac{d}{dx}(6\sin^{3}(\sqrt{x}))
(dy)/(dx)=4ye^x	\frac{dy}{dx}=4ye^{x}
(\partial)/(\partial x)(ln(9x^2+2y^2+4))	\frac{\partial\:}{\partial\:x}(\ln(9x^{2}+2y^{2}+4))
(\partial)/(\partial x)(x+y/z)	\frac{\partial\:}{\partial\:x}(x+\frac{y}{z})
y^{''}-8y^'+17y=0	y^{\prime\:\prime\:}-8y^{\prime\:}+17y=0
3x^2y^'=y^'+5xe^{-y}	3x^{2}y^{\prime\:}=y^{\prime\:}+5xe^{-y}
area 3x^2,sqrt(1/3 x)	area\:3x^{2},\sqrt{\frac{1}{3}x}
(dy)/(dx)=(1+e^x)y	\frac{dy}{dx}=(1+e^{x})y
integral of cos^2(5x)	\int\:\cos^{2}(5x)dx
(1+e^xy+xe^xy)dx+(xe^x+2)dy=0	(1+e^{x}y+xe^{x}y)dx+(xe^{x}+2)dy=0
integral of (9x^3-5x^2+3x)/x	\int\:\frac{9x^{3}-5x^{2}+3x}{x}dx
derivative of e^{0.04t}	derivative\:e^{0.04t}
limit as x approaches-3 of (x^2-9)/(x-3)	\lim\:_{x\to\:-3}(\frac{x^{2}-9}{x-3})
limit as x approaches 0 of [(sin(x))/x ]	\lim\:_{x\to\:0}([\frac{\sin(x)}{x}])
(dy)/(dx)=y^{-2}	\frac{dy}{dx}=y^{-2}
y^{'''}-8y^{''}-9y^'=0	y^{\prime\:\prime\:\prime\:}-8y^{\prime\:\prime\:}-9y^{\prime\:}=0
integral of (cos^2(θ))/2	\int\:\frac{\cos^{2}(θ)}{2}dθ
integral of 1/((9-x^2))	\int\:\frac{1}{(9-x^{2})}dx
integral of-4xsin(5x)	\int\:-4x\sin(5x)dx
y=sqrt(3x+13)	y=\sqrt{3x+13}
limit as x approaches infinity of 9x^2	\lim\:_{x\to\:\infty\:}(9x^{2})
derivative of 6log_{9}(x)	derivative\:6\log_{9}(x)
area 5cos(9x),5-5cos(9x),[0, pi/9 ]	area\:5\cos(9x),5-5\cos(9x),[0,\frac{π}{9}]
tangent of f(x)=(x-3)(x^2-6x+6)	tangent\:f(x)=(x-3)(x^{2}-6x+6)
inverse oflaplace e^{-s} 1/s	inverselaplace\:e^{-s}\frac{1}{s}
derivative of 4e^{x^2}x^3+6e^{x^2}x	derivative\:4e^{x^{2}}x^{3}+6e^{x^{2}}x
integral from 0 to 100 of e^{-x/(0.033)}	\int\:_{0}^{100}e^{-\frac{x}{0.033}}dx
derivative of f(x)=(x^3-2)^3	derivative\:f(x)=(x^{3}-2)^{3}
derivative of x-5x^2+x^3	\frac{d}{dx}(x-5x^{2}+x^{3})
area 3x^2+3x-8,2x^2+x+7	area\:3x^{2}+3x-8,2x^{2}+x+7
(3^x)^'	(3^{x})^{\prime\:}
derivative of cos(sin^2(x))	\frac{d}{dx}(\cos(\sin^{2}(x)))
slope of (1.2)(-3.4)	slope\:(1.2)(-3.4)
integral of (cos(x)+1/(cos(x)))^2	\int\:(\cos(x)+\frac{1}{\cos(x)})^{2}dx
taylor 9/(x^2),1	taylor\:\frac{9}{x^{2}},1
area (e^x)/2 ,0,0,2	area\:\frac{e^{x}}{2},0,0,2
(\partial)/(\partial y)(10x^9y^9+3)	\frac{\partial\:}{\partial\:y}(10x^{9}y^{9}+3)
integral of \sqrt[9]{x^7}	\int\:\sqrt[9]{x^{7}}dx
(\partial)/(\partial y)(5/y)	\frac{\partial\:}{\partial\:y}(\frac{5}{y})

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