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Popular Calculus Problems

limit as x approaches 2 of x^2-4/(x-2)	\lim\:_{x\to\:2}(x^{2}-\frac{4}{x-2})
integral of xln(1+x^2)	\int\:x\ln(1+x^{2})dx
(dy)/(dx)=(y/x)	\frac{dy}{dx}=(\frac{y}{x})
derivative of x^4sin(xsin(3x))	\frac{d}{dx}(x^{4}\sin(x)\sin(3x))
derivative of 3(1-x^{-2})	\frac{d}{dx}(3(1-x)^{-2})
y^'=(sin(x))/y	y^{\prime\:}=\frac{\sin(x)}{y}
derivative of (x^3/4-4x)	\frac{d}{dx}(\frac{x^{3}}{4}-4x)
integral of xsin(-4x)	\int\:x\sin(-4x)dx
integral of 1/((x^2+25)^{3/2)}	\int\:\frac{1}{(x^{2}+25)^{\frac{3}{2}}}dx
(4x-y)dx+(6y-x)dy=0	(4x-y)dx+(6y-x)dy=0
integral of (5x^2-6)^{3/2}	\int\:(5x^{2}-6)^{\frac{3}{2}}dx
derivative of (12/(ln(x)))	\frac{d}{dx}(\frac{12}{\ln(x)})
integral of (8t^3-3t^2+8t)/(t^2+1)	\int\:\frac{8t^{3}-3t^{2}+8t}{t^{2}+1}dt
integral of-0.09t	\int\:-0.09tdt
derivative of e^{-5x^3-2x^2}	\frac{d}{dx}(e^{-5x^{3}-2x^{2}})
limit as x approaches 4+of 1/((x-4)^2)	\lim\:_{x\to\:4+}(\frac{1}{(x-4)^{2}})
integral of x/(1+x^2y^2)	\int\:\frac{x}{1+x^{2}y^{2}}dy
(\partial)/(\partial x)(ln(axy)+b^{xy})	\frac{\partial\:}{\partial\:x}(\ln(axy)+b^{xy})
area 220+11x-11x^2,11x^2-55x	area\:220+11x-11x^{2},11x^{2}-55x
derivative of x^5e^x	derivative\:x^{5}e^{x}
integral of 2*(x-6)^3	\int\:2\cdot\:(x-6)^{3}dx
(dy)/(dx)=7x^6e^{-y}	\frac{dy}{dx}=7x^{6}e^{-y}
tangent of f(x)=7+4x^2-2x^3,\at x=a	tangent\:f(x)=7+4x^{2}-2x^{3},\at\:x=a
derivative of 4e^{x^{-3}}	derivative\:4e^{x^{-3}}
limit as x approaches 0 of 9x^2-4x+8	\lim\:_{x\to\:0}(9x^{2}-4x+8)
integral of sec^2(sqrt(x))	\int\:\sec^{2}(\sqrt{x})dx
y^{''}+1.5y^'+0.037y=0,y(0)=2,y^'(0)=1	y^{\prime\:\prime\:}+1.5y^{\prime\:}+0.037y=0,y(0)=2,y^{\prime\:}(0)=1
derivative of 3^x+5	\frac{d}{dx}(3^{x}+5)
derivative of x/(x^2+25)	derivative\:\frac{x}{x^{2}+25}
integral of (-2ln(x))/x	\int\:\frac{-2\ln(x)}{x}dx
integral of x^20.4^{-x}	\int\:x^{2}0.4^{-x}dx
integral of (y^2)/((4-y^2)^{3/2)}	\int\:\frac{y^{2}}{(4-y^{2})^{\frac{3}{2}}}dy
derivative of arctan(x/3)	derivative\:\arctan(\frac{x}{3})
(dy)/(dx)=-6xy	\frac{dy}{dx}=-6xy
tangent of f(x)=-18x-(17)/x	tangent\:f(x)=-18x-\frac{17}{x}
integral of (x^2)/((1+x^3)^2)	\int\:\frac{x^{2}}{(1+x^{3})^{2}}dx
derivative of e^{-yx}	\frac{d}{dx}(e^{-yx})
(4e^{2x}+2xy-y^2)dx+(x-y)^2dy=0	(4e^{2x}+2xy-y^{2})dx+(x-y)^{2}dy=0
laplacetransform 2e^{-2t}	laplacetransform\:2e^{-2t}
f(x)=arctan(x^3)	f(x)=\arctan(x^{3})
integral of 1/(3u)	\int\:\frac{1}{3u}du
integral of (-6)/x	\int\:\frac{-6}{x}dx
expand 4x^2(3x^3-2x^2+5x)	expand\:4x^{2}(3x^{3}-2x^{2}+5x)
integral of (7x^2-4)^2x^3	\int\:(7x^{2}-4)^{2}x^{3}dx
limit as x approaches 6 of 1+csc(2x)	\lim\:_{x\to\:6}(1+\csc(2x))
integral of (-9x+27)/(2x-3)	\int\:\frac{-9x+27}{2x-3}dx
integral of (x+1)y^2sin((xy)/3)	\int\:(x+1)y^{2}\sin(\frac{xy}{3})dx
sum from n=1 to infinity of (n-5)/(n+5)	\sum\:_{n=1}^{\infty\:}\frac{n-5}{n+5}
derivative of sqrt(x^2+y^2)-5	\frac{d}{dx}(\sqrt{x^{2}+y^{2}}-5)
slope of (4x)/(x-5)	slope\:\frac{4x}{x-5}
(dx)/(dr)+e^{r-x}=0	\frac{dx}{dr}+e^{r-x}=0
(\partial)/(\partial x)(e^{8y}sin(-8x))	\frac{\partial\:}{\partial\:x}(e^{8y}\sin(-8x))
integral of x(sin(x))^2	\int\:x(\sin(x))^{2}dx
derivative of f(x)=x+2sin(x)	derivative\:f(x)=x+2\sin(x)
limit as x approaches 1 of (1-x)/(ln(x))	\lim\:_{x\to\:1}(\frac{1-x}{\ln(x)})
integral of ((x^3+5))/(x^2)	\int\:\frac{(x^{3}+5)}{x^{2}}dx
limit as x approaches-2 of \|x+2\|	\lim\:_{x\to\:-2}(\left\|x+2\right\|)
integral of 7/(x^2sqrt(x^2-16))	\int\:\frac{7}{x^{2}\sqrt{x^{2}-16}}dx
integral of (t^5)/(sqrt(1-t^{12))}	\int\:\frac{t^{5}}{\sqrt{1-t^{12}}}dt
derivative of 1/2 e^{2x}	derivative\:\frac{1}{2}e^{2x}
derivative of 3x-2y^4	\frac{d}{dx}(3x-2y^{4})
integral of 5/(x^3-27)	\int\:\frac{5}{x^{3}-27}dx
integral of 375-25sqrt(15x)	\int\:375-25\sqrt{15x}dx
derivative of cos(sqrt(x))	derivative\:\cos(\sqrt{x})
integral of 3x^2cos(7x)	\int\:3x^{2}\cos(7x)dx
integral of sqrt(9x)	\int\:\sqrt{9x}dx
integral from 0 to 20 of 2^{t/(10)}	\int\:_{0}^{20}2^{\frac{t}{10}}dt
(\partial)/(\partial x)(-2+e^{-x}cos(y))	\frac{\partial\:}{\partial\:x}(-2+e^{-x}\cos(y))
derivative of (10)/(\sqrt[5]{x)}	derivative\:\frac{10}{\sqrt[5]{x}}
derivative of ((x-1))/(x+1)	derivative\:\frac{(x-1)}{x+1}
derivative of f(x)=(x)^3e^{(3x)}	derivative\:f(x)=(x)^{3}e^{(3x)}
derivative of 1/(sqrt(8+x^2))	\frac{d}{dx}(\frac{1}{\sqrt{8+x^{2}}})
integral of sqrt(4x^2+1)	\int\:\sqrt{4x^{2}+1}dx
derivative of 3/(5x+2)	derivative\:\frac{3}{5x+2}
f(x)=6x+5	f(x)=6x+5
(\partial)/(\partial x)(((4x-4y))/(4x+3y))	\frac{\partial\:}{\partial\:x}(\frac{(4x-4y)}{4x+3y})
tangent of y=(x^3-9x)^8,(-3,0)	tangent\:y=(x^{3}-9x)^{8},(-3,0)
f(x)= 1/(x-3)	f(x)=\frac{1}{x-3}
derivative of x(2x-5)^3	derivative\:x(2x-5)^{3}
(\partial)/(\partial x)(arcsec(y/x))	\frac{\partial\:}{\partial\:x}(\arcsec(\frac{y}{x}))
integral of (x^2)/(x-1)	\int\:\frac{x^{2}}{x-1}dx
integral of (x^2-6)^4(2x)	\int\:(x^{2}-6)^{4}(2x)dx
limit as x approaches infinity of x(x-1)	\lim\:_{x\to\:\infty\:}(x(x-1))
derivative of y=(5x-2)^3	derivative\:y=(5x-2)^{3}
derivative of (sqrt(x)-7)/(sqrt(x)+7)	derivative\:\frac{\sqrt{x}-7}{\sqrt{x}+7}
limit as x approaches-1 of 3-x^2	\lim\:_{x\to\:-1}(3-x^{2})
integral of 2sin(x)+2x^2+5x+1	\int\:2\sin(x)+2x^{2}+5x+1dx
derivative of (sqrt(2x-3)/(x^2))	\frac{d}{dx}(\frac{\sqrt{2x-3}}{x^{2}})
integral of (sqrt(81+x^2))/x	\int\:\frac{\sqrt{81+x^{2}}}{x}dx
limit as x approaches infinity of \sqrt[3]{x^3+3x^2-x}	\lim\:_{x\to\:\infty\:}(\sqrt[3]{x^{3}+3x^{2}-x})
inverse oflaplace 1/(s^2(s^2+1))	inverselaplace\:\frac{1}{s^{2}(s^{2}+1)}
integral of sqrt((6-x)/(6+x))	\int\:\sqrt{\frac{6-x}{6+x}}dx
sum from n=0 to infinity of (2^n)/(1^n)	\sum\:_{n=0}^{\infty\:}\frac{2^{n}}{1^{n}}
integral of 4cos^3(4x)	\int\:4\cos^{3}(4x)dx
limit as x approaches 1 of 1*0	\lim\:_{x\to\:1}(1\cdot\:0)
integral of (5x)/(x^2+3x+4)	\int\:\frac{5x}{x^{2}+3x+4}dx
integral of sqrt(x^2+x+1)	\int\:\sqrt{x^{2}+x+1}dx
(dv)/(dt)=9.8-0.6v	\frac{dv}{dt}=9.8-0.6v
derivative of sqrt(x)tan(sqrt(3/x))	\frac{d}{dx}(\sqrt{x}\tan(\sqrt{\frac{3}{x}}))
integral of (2x)/((x-1)(x+3))	\int\:\frac{2x}{(x-1)(x+3)}dx

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