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Popular Calculus Problems

derivative of 24x+sin(x)	\frac{d}{dx}(24x+\sin(x))
derivative of (arccos(x)/(x^2))	\frac{d}{dx}(\frac{\arccos(x)}{x^{2}})
integral from 1 to 2 of x^2-3x+2	\int\:_{1}^{2}x^{2}-3x+2dx
derivative of e^{2ln(3x})	\frac{d}{dx}(e^{2\ln(3x)})
laplacetransform 6y	laplacetransform\:6y
limit as x approaches 2 of (3x)/(x-2)	\lim\:_{x\to\:2}(\frac{3x}{x-2})
derivative of tan(2x+3)	derivative\:\tan(2x+3)
limit as x approaches 0 of 3-7x-5x^2	\lim\:_{x\to\:0}(3-7x-5x^{2})
area 2x+3y+4=0,[-4,4]	area\:2x+3y+4=0,[-4,4]
integral of (sec^2(x))/(sqrt(tan(x)))	\int\:\frac{\sec^{2}(x)}{\sqrt{\tan(x)}}dx
integral of cos(r)	\int\:\cos(r)dr
x*y^'=2y	x\cdot\:y^{\prime\:}=2y
limit as t approaches 2 of (t^3-8)/(t-2)	\lim\:_{t\to\:2}(\frac{t^{3}-8}{t-2})
derivative of 3x^8	\frac{d}{dx}(3x^{8})
limit as x approaches-1 of 4x^2+6	\lim\:_{x\to\:-1}(4x^{2}+6)
limit as x approaches 0-of e^{cot(x)}	\lim\:_{x\to\:0-}(e^{\cot(x)})
xy^'-2y=3x	xy^{\prime\:}-2y=3x
(1+(y^')^2)^{3/2}=y^{''}	(1+(y^{\prime\:})^{2})^{\frac{3}{2}}=y^{\prime\:\prime\:}
(dy)/(dx)= 1/(sqrt(4-x^2))	\frac{dy}{dx}=\frac{1}{\sqrt{4-x^{2}}}
(d^2)/(dx^2)(e^{7x^2})	\frac{d^{2}}{dx^{2}}(e^{7x^{2}})
derivative of cos(3)	\frac{d}{dx}(\cos(3))
(\partial)/(\partial x)(e^{-9x})	\frac{\partial\:}{\partial\:x}(e^{-9x})
derivative of-10	\frac{d}{dx}(-10)
y^{''}+9y=sin(3x)	y^{\prime\:\prime\:}+9y=\sin(3x)
limit as (x,y) approaches (5,-2) of x^5+4x^3y-5xy^2	\lim\:_{(x,y)\to\:(5,-2)}(x^{5}+4x^{3}y-5xy^{2})
integral of (ax)/(x^2-px)	\int\:\frac{ax}{x^{2}-px}dx
integral of 4x^{1/2}	\int\:4x^{\frac{1}{2}}dx
derivative of 2x^2-3x-5	\frac{d}{dx}(2x^{2}-3x-5)
derivative of ln(ax)	\frac{d}{dx}(\ln(ax))
(\partial}{\partial x}(\frac{8.31y)/x)	\frac{\partial\:}{\partial\:x}(\frac{8.31y}{x})
integral of (x^2(e^{-2x})/2)	\int\:(x^{2}\frac{e^{-2x}}{2})dx
7(t+1)(dy)/(dt)-6y=6t	7(t+1)\frac{dy}{dt}-6y=6t
integral of cos(2v)	\int\:\cos(2v)dv
derivative of x,x	\frac{d}{dx}(x,x)
(\partial)/(\partial T)(x/T)	\frac{\partial\:}{\partial\:T}(\frac{x}{T})
integral from 0 to 1 of 4cos(x^2)	\int\:_{0}^{1}4\cos(x^{2})dx
inverse oflaplace (e^{-2s})/((s^2+16))	inverselaplace\:\frac{e^{-2s}}{(s^{2}+16)}
area y=4x,x=4,y= 4/x	area\:y=4x,x=4,y=\frac{4}{x}
limit as x approaches-3 of (x^2)/(x+3)	\lim\:_{x\to\:-3}(\frac{x^{2}}{x+3})
integral of (3y)/(sqrt(2y^2+5))	\int\:\frac{3y}{\sqrt{2y^{2}+5}}dy
derivative of 2x^5-6x^4+4x^3+4x^2-6x+2	\frac{d}{dx}(2x^{5}-6x^{4}+4x^{3}+4x^{2}-6x+2)
integral of (sqrt(x)-2)	\int\:(\sqrt{x}-2)dx
y^{''}+2y^'+y=-2e^x	y^{\prime\:\prime\:}+2y^{\prime\:}+y=-2e^{x}
integral from 1 to 2 of 5/(x^3+2x)	\int\:_{1}^{2}\frac{5}{x^{3}+2x}dx
integral from 0 to 1 of (5^x-3^x)	\int\:_{0}^{1}(5^{x}-3^{x})dx
tangent of y=2x^3,(1,2)	tangent\:y=2x^{3},(1,2)
derivative of f(x)=sqrt(6x+3)	derivative\:f(x)=\sqrt{6x+3}
integral of (ln(11x))/(x^9)	\int\:\frac{\ln(11x)}{x^{9}}dx
integral of ((7x^2+5x-6))/((x^2-4)(x+2))	\int\:\frac{(7x^{2}+5x-6)}{(x^{2}-4)(x+2)}dx
derivative of x/((m+nx))	\frac{d}{dx}(\frac{x}{(m+nx)})
(\partial)/(\partial x)(x^2+2xy+2y^2-6x+10y+2)	\frac{\partial\:}{\partial\:x}(x^{2}+2xy+2y^{2}-6x+10y+2)
derivative of ((x^2+1))/((x-1)^2)	derivative\:\frac{(x^{2}+1)}{(x-1)^{2}}
(\partial)/(\partial x)(yx^3-xy^2+xy+13y)	\frac{\partial\:}{\partial\:x}(yx^{3}-xy^{2}+xy+13y)
integral of x/(x^2+y^2)	\int\:\frac{x}{x^{2}+y^{2}}dy
tangent of f(x)=9e^x,\at x=7	tangent\:f(x)=9e^{x},\at\:x=7
integral from 1 to 12 of 1/(x-7)	\int\:_{1}^{12}\frac{1}{x-7}dx
(\partial)/(\partial y)(sqrt(x^2+6xy+4y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{x^{2}+6xy+4y^{2}})
integral of x^2+2x+1	\int\:x^{2}+2x+1dx
integral from 0 to 1 of (2y)/(e^{2y)}	\int\:_{0}^{1}\frac{2y}{e^{2y}}dy
y^'+3/t y=0	y^{\prime\:}+\frac{3}{t}y=0
limit as x approaches 3 of x^5	\lim\:_{x\to\:3}(x^{5})
integral from 1 to e of sqrt(ln(x))	\int\:_{1}^{e}\sqrt{\ln(x)}dx
integral of x/(3-x)	\int\:\frac{x}{3-x}dx
derivative of (e^x)/(3+e^x)	derivative\:\frac{e^{x}}{3+e^{x}}
derivative of 9x^5cos(x)	\frac{d}{dx}(9x^{5}\cos(x))
derivative of x+x^5	\frac{d}{dx}(x+x^{5})
maclaurin 1/(1+x^4)	maclaurin\:\frac{1}{1+x^{4}}
area y=e^x,y=x,x=0,x=1	area\:y=e^{x},y=x,x=0,x=1
integral of (e^{2x})/(sqrt(1-e^{4x))}	\int\:\frac{e^{2x}}{\sqrt{1-e^{4x}}}dx
limit as x approaches 2 of (x+1)/(x^2-4)	\lim\:_{x\to\:2}(\frac{x+1}{x^{2}-4})
derivative of (x+sqrt(x)^2)	\frac{d}{dx}((x+\sqrt{x})^{2})
area y= 1/(18x^2),y=x,y= x/6	area\:y=\frac{1}{18x^{2}},y=x,y=\frac{x}{6}
integral of 1/(-x^2-a+b)	\int\:\frac{1}{-x^{2}-a+b}dx
limit as x approaches 1 of x^{1/(x^2-1)}	\lim\:_{x\to\:1}(x^{\frac{1}{x^{2}-1}})
derivative of 1/(3s^2)-5/(2s)	derivative\:\frac{1}{3s^{2}}-\frac{5}{2s}
derivative of ln(x^4sqrt(8-6x))	\frac{d}{dx}(\ln(x^{4}\sqrt{8-6x}))
derivative of g(x)=(1-3x)/(5+x)	derivative\:g(x)=\frac{1-3x}{5+x}
derivative of tan^2(4x)	derivative\:\tan^{2}(4x)
limit as n approaches infinity of (-1)^n	\lim\:_{n\to\:\infty\:}((-1)^{n})
derivative of (x^3/(3-6x^2+8x-7))	\frac{d}{dx}(\frac{x^{3}}{3-6x^{2}+8x-7})
derivative of (20x^2/((x-1)^3))	\frac{d}{dx}(\frac{20x^{2}}{(x-1)^{3}})
tangent of f(x)= 1/((2x-1)^6),\at x=1	tangent\:f(x)=\frac{1}{(2x-1)^{6}},\at\:x=1
limit as x approaches-2 of sqrt(8+x^3)	\lim\:_{x\to\:-2}(\sqrt{8+x^{3}})
d/(da)((cos^2(a))/(1-sin(a)))	\frac{d}{da}(\frac{\cos^{2}(a)}{1-\sin(a)})
derivative of (4x/((x^2+1)))	\frac{d}{dx}(\frac{4x}{(x^{2}+1)})
y(x-y-2)dx+x(y-x+4)dy=0	y(x-y-2)dx+x(y-x+4)dy=0
e^2y(dy)/(dx)=e^{-y}+e^{-2x-y}	e^{2}y\frac{dy}{dx}=e^{-y}+e^{-2x-y}
derivative of ln(cos(sin(e^{x^3})))	\frac{d}{dx}(\ln(\cos(\sin(e^{x^{3}}))))
y^{''''}+13y^{''}+36y=0	y^{\prime\:\prime\:\prime\:\prime\:}+13y^{\prime\:\prime\:}+36y=0
area y=2x+24,y=x^2	area\:y=2x+24,y=x^{2}
y^{''}+3/x y^'-(15)/(x^2)y=0	y^{\prime\:\prime\:}+\frac{3}{x}y^{\prime\:}-\frac{15}{x^{2}}y=0
integral of (sqrt(x+1))/(x-3)	\int\:\frac{\sqrt{x+1}}{x-3}dx
integral of 1/((1-x^2)^{3/2)}	\int\:\frac{1}{(1-x^{2})^{\frac{3}{2}}}dx
e^{(x+y)}(dx+dy)+4xdx=0	e^{(x+y)}(dx+dy)+4xdx=0
limit as θ approaches pi/2 of θcos(θ)	\lim\:_{θ\to\:\frac{π}{2}}(θ\cos(θ))
y^'=(x+y-2)^2	y^{\prime\:}=(x+y-2)^{2}
tangent of f(x)=5sin(x),\at x= pi/4	tangent\:f(x)=5\sin(x),\at\:x=\frac{π}{4}
integral of x^2e^{ax}	\int\:x^{2}e^{ax}dx
derivative of (4x+cos(2))^{55}	derivative\:(4x+\cos(2))^{55}
integral of x/(10)	\int\:\frac{x}{10}dx

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