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Popular Calculus Problems

integral of 1/(xln(2))	\int\:\frac{1}{x\ln(2)}dx
derivative of (ax^2+bx+c*e^{-x/4})	\frac{d}{dx}((ax^{2}+bx+c)\cdot\:e^{-\frac{x}{4}})
limit as x approaches-infinity of 1+1/x	\lim\:_{x\to\:-\infty\:}(1+\frac{1}{x})
f(x)=sqrt(x^2-2x)	f(x)=\sqrt{x^{2}-2x}
tangent of 3sqrt(x),\at x=16	tangent\:3\sqrt{x},\at\:x=16
integral of xsin(2x)	\int\:x\cdot\:\sin(2\cdot\:x)dx
derivative of 450(1+(3t)/(29+t^2)),4	derivative\:450(1+\frac{3t}{29+t^{2}}),4
limit as x approaches 0 of ((x+4))/2	\lim\:_{x\to\:0}(\frac{(x+4)}{2})
derivative of y=2xe^{-x}	derivative\:y=2xe^{-x}
limit as x approaches infinity of 2.5	\lim\:_{x\to\:\infty\:}(2.5)
integral from 0 to 4 of e^{-2x}+4	\int\:_{0}^{4}e^{-2x}+4dx
integral of sqrt(1+e^x)	\int\:\sqrt{1+e^{x}}dx
(dy}{dx}=\frac{(y-3sqrt(x^2+y^2)))/x	\frac{dy}{dx}=\frac{(y-3\sqrt{x^{2}+y^{2}})}{x}
limit as x approaches 0 of x(cos(x))	\lim\:_{x\to\:0}(x(\cos(x)))
limit as x approaches 0 of (3-3cos(x))/x	\lim\:_{x\to\:0}(\frac{3-3\cos(x)}{x})
derivative of e^{e^{3x^2}}	\frac{d}{dx}(e^{e^{3x^{2}}})
derivative of 3/((x-2^2))	\frac{d}{dx}(\frac{3}{(x-2)^{2}})
derivative of 7/(sin(x+cos(x)))	\frac{d}{dx}(\frac{7}{\sin(x)+\cos(x)})
integral of (-cos(4t)sin(4t))/4	\int\:\frac{-\cos(4t)\sin(4t)}{4}dt
integral of sin^4(x)cos^7(x)	\int\:\sin^{4}(x)\cos^{7}(x)dx
integral of 4x-11	\int\:4x-11dx
y^'=e^{4cos(sqrt(x))}	y^{\prime\:}=e^{4\cos(\sqrt{x})}
laplacetransform 2	laplacetransform\:2
limit as x approaches 6-of sqrt(36-x^2)	\lim\:_{x\to\:6-}(\sqrt{36-x^{2}})
integral from 2 to infinity of 1	\int\:_{2}^{\infty\:}1dx
(\partial)/(\partial y)(7xy)	\frac{\partial\:}{\partial\:y}(7xy)
derivative of 2xe^{-kx}	derivative\:2xe^{-kx}
d/(dt)(tsin(t))	\frac{d}{dt}(t\sin(t))
integral of-(2x)/((1-x^2))	\int\:-\frac{2x}{(1-x^{2})}dx
integral of sqrt(196-t^2)	\int\:\sqrt{196-t^{2}}dt
(dx)/(dy)=(4x)/(9y)	\frac{dx}{dy}=\frac{4x}{9y}
yy^'+6x=0	yy^{\prime\:}+6x=0
integral of x^2(x^3-4)^4	\int\:x^{2}(x^{3}-4)^{4}dx
integral of xe^{-8x^2}	\int\:xe^{-8x^{2}}dx
integral of 3^{-x}cos(x)	\int\:3^{-x}\cos(x)dx
integral of 1+1/x	\int\:1+\frac{1}{x}dx
(\partial)/(\partial y)(sqrt(5x^2+8xy+y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{5x^{2}+8xy+y^{2}})
(dy)/(dx)+(5x^2)/(e^{3x^3)}y=0	\frac{dy}{dx}+\frac{5x^{2}}{e^{3x^{3}}}y=0
xy^'-2y=2x^2+x-2	xy^{\prime\:}-2y=2x^{2}+x-2
integral of ((x^2-x+4))/(x^3+2x)	\int\:\frac{(x^{2}-x+4)}{x^{3}+2x}dx
integral of ((1-2x)^2)/x	\int\:\frac{(1-2x)^{2}}{x}dx
derivative of sqrt(-x^2+25)	\frac{d}{dx}(\sqrt{-x^{2}+25})
ydx+x^{α/6}dy=8yxdx+2dy	ydx+x^{\frac{α}{6}}dy=8yxdx+2dy
derivative of 2x^6+3x^5+4x^4-5x^3-6x^2+1	\frac{d}{dx}(2x^{6}+3x^{5}+4x^{4}-5x^{3}-6x^{2}+1)
taylor ln(x^2+1)	taylor\:\ln(x^{2}+1)
derivative of-6t(5t^3-1)^7	derivative\:-6t(5t^{3}-1)^{7}
limit as x approaches-3 of x^2-5	\lim\:_{x\to\:-3}(x^{2}-5)
limit as x approaches 2-of (2x)/(x-2)	\lim\:_{x\to\:2-}(\frac{2x}{x-2})
limit as x approaches c+of g(x)	\lim\:_{x\to\:c+}(g(x))
derivative of ((1-4x)/(1+4x))	\frac{d}{dx}(\frac{(1-4x)}{1+4x})
derivative of e^{sqrt(x^3+1)}	\frac{d}{dx}(e^{\sqrt{x^{3}+1}})
derivative of 2^{x^3}	derivative\:2^{x^{3}}
integral of 3/4 x^2	\int\:\frac{3}{4}x^{2}dx
integral from 1 to 3 of x^2+1	\int\:_{1}^{3}x^{2}+1dx
integral of xe^{(1+x^2)}	\int\:xe^{(1+x^{2})}dx
5x^2y^'=y^'+5xe^{-y}	5x^{2}y^{\prime\:}=y^{\prime\:}+5xe^{-y}
(\partial)/(\partial x)(WLH(W,L,x))	\frac{\partial\:}{\partial\:x}(W\cdot\:L\cdot\:H(W,L,x))
(\partial)/(\partial y)(sqrt(y/x))	\frac{\partial\:}{\partial\:y}(\sqrt{\frac{y}{x}})
derivative of (x^2+3/x)	\frac{d}{dx}(\frac{x^{2}+3}{x})
derivative of y=x^2sin^6(x)+xcos^{-2}(x)	derivative\:y=x^{2}\sin^{6}(x)+x\cos^{-2}(x)
limit as x approaches 4 of (3x-9)^4	\lim\:_{x\to\:4}((3x-9)^{4})
derivative of y=sqrt(x+7)	derivative\:y=\sqrt{x+7}
(dy)/(dx)=(1+4y^2)(1+3x^2)	\frac{dy}{dx}=(1+4y^{2})(1+3x^{2})
limit as x approaches 0 of (sin(7x))/(sin(9x))	\lim\:_{x\to\:0}(\frac{\sin(7x)}{\sin(9x)})
integral of sqrt(1-tan^2(x))	\int\:\sqrt{1-\tan^{2}(x)}dx
derivative of (x^3+4)e^x	derivative\:(x^{3}+4)e^{x}
tangent of f(x)=(1-x)(x^2-3)2	tangent\:f(x)=(1-x)(x^{2}-3)2
limit as x approaches-1 of x^3	\lim\:_{x\to\:-1}(x^{3})
(\partial)/(\partial x)(7y)	\frac{\partial\:}{\partial\:x}(7y)
integral from 1 to 5 of (6-x)-(8-3x)	\int\:_{1}^{5}(6-x)-(8-3x)dx
(\partial)/(\partial y)(xe^{-y})	\frac{\partial\:}{\partial\:y}(xe^{-y})
derivative of y=x^3+e^x	derivative\:y=x^{3}+e^{x}
y^{''}-4y^'+5y=1+5x	y^{\prime\:\prime\:}-4y^{\prime\:}+5y=1+5x
integral of sqrt(9x+6)	\int\:\sqrt{9x+6}dx
integral of x/(x^4+3x^2-4)	\int\:\frac{x}{x^{4}+3x^{2}-4}dx
sum from n=1 to infinity of (n+2)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{n+2}{n!}
(dN)/(dt)=N(1-0.0004N)	\frac{dN}{dt}=N(1-0.0004N)
integral from 0 to 1 of x/(x^2+x+1)	\int\:_{0}^{1}\frac{x}{x^{2}+x+1}dx
(dx)/(dt)+5t^7x^9+x/t =0	\frac{dx}{dt}+5t^{7}x^{9}+\frac{x}{t}=0
limit as x approaches 0-of (ln(x^2))/x	\lim\:_{x\to\:0-}(\frac{\ln(x^{2})}{x})
taylor (x^2)/(1-2x)	taylor\:\frac{x^{2}}{1-2x}
2x^{''}+7x^'+3x=0	2x^{\prime\:\prime\:}+7x^{\prime\:}+3x=0
derivative of x(2x+7^{1/3})	\frac{d}{dx}(x(2x+7)^{\frac{1}{3}})
tangent of f(x)=e^{5x}cos(pix),\at x=0	tangent\:f(x)=e^{5x}\cos(πx),\at\:x=0
derivative of f(x)=x^{3/2}	derivative\:f(x)=x^{\frac{3}{2}}
derivative of (x^3)/(x^2+12)	derivative\:\frac{x^{3}}{x^{2}+12}
yy^'=8sin(x)	yy^{\prime\:}=8\sin(x)
derivative of x/((x-8^2))	\frac{d}{dx}(\frac{x}{(x-8)^{2}})
tangent of f(x)=e^x,\at x=ln(12)	tangent\:f(x)=e^{x},\at\:x=\ln(12)
limit as x approaches 1 of x^3-x^2+4x	\lim\:_{x\to\:1}(x^{3}-x^{2}+4x)
derivative of sin(2x+3)	derivative\:\sin(2x+3)
derivative of (8x+5^2)	\frac{d}{dx}((8x+5)^{2})
tangent of y=5x-2x^2,(-2,-18)	tangent\:y=5x-2x^{2},(-2,-18)
derivative of (x+7/(x-7))	\frac{d}{dx}(\frac{x+7}{x-7})
tangent of y=sqrt(3x+72),(3,9)	tangent\:y=\sqrt{3x+72},(3,9)
derivative of y=(7sqrt(x))/8	derivative\:y=\frac{7\sqrt{x}}{8}
limit as x approaches 0 of (x^2)/(e^x-1)	\lim\:_{x\to\:0}(\frac{x^{2}}{e^{x}-1})
integral of 3sec(x)	\int\:3\sec(x)dx
(\partial)/(\partial x)(a^2)	\frac{\partial\:}{\partial\:x}(a^{2})
integral of (x-2)^{3/2}	\int\:(x-2)^{\frac{3}{2}}dx

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