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Popular Calculus Problems

integral of 3xe^{3z}+5	\int\:3xe^{3z}+5dz
inverse oflaplace ((s-1)^3)/(s^4)	inverselaplace\:\frac{(s-1)^{3}}{s^{4}}
limit as x approaches 0 of (x^2-6x+9)/(x^2)	\lim\:_{x\to\:0}(\frac{x^{2}-6x+9}{x^{2}})
derivative of x^3-12x^2+36x	\frac{d}{dx}(x^{3}-12x^{2}+36x)
derivative of 9(5x^4ln(7x)+x^4)	derivative\:9(5x^{4}\ln(7x)+x^{4})
integral of (sqrt(9-x^2))/(x^4)	\int\:\frac{\sqrt{9-x^{2}}}{x^{4}}dx
derivative of log_{2}(x^3)	\frac{d}{dx}(\log_{2}(x^{3}))
derivative of sqrt(100-x^2)	derivative\:\sqrt{100-x^{2}}
integral from 1 to 2 of (v^3+3v^6)/(v^4)	\int\:_{1}^{2}\frac{v^{3}+3v^{6}}{v^{4}}dv
area y=x^2-2x,y=4x+7	area\:y=x^{2}-2x,y=4x+7
derivative of f(x)=(x^2)/(x-4)	derivative\:f(x)=\frac{x^{2}}{x-4}
derivative of log_{3}(x)-2	derivative\:\log_{3}(x)-2
(\partial)/(\partial y)(e^xxy+e^xy^2+e^xy)	\frac{\partial\:}{\partial\:y}(e^{x}xy+e^{x}y^{2}+e^{x}y)
integral from 0 to 1 of (2x)/((2-x)^2)	\int\:_{0}^{1}\frac{2x}{(2-x)^{2}}dx
derivative of (11)/(ln(x))	derivative\:\frac{11}{\ln(x)}
limit as x approaches 2 of ln(x^2(3-x))	\lim\:_{x\to\:2}(\ln(x^{2}(3-x)))
area 4x+12,x^2,8-x^2	area\:4x+12,x^{2},8-x^{2}
derivative of 4^{2x^2}	derivative\:4^{2x^{2}}
derivative of sqrt(2+\sqrt{3x)}	derivative\:\sqrt{2+\sqrt{3x}}
derivative of cos^2(3sqrt(x))	\frac{d}{dx}(\cos^{2}(3\sqrt{x}))
(\partial)/(\partial x)(-sin(x^2y)*x^2)	\frac{\partial\:}{\partial\:x}(-\sin(x^{2}y)\cdot\:x^{2})
(\partial}{\partial y}(\frac{(3x+y))/z)	\frac{\partial\:}{\partial\:y}(\frac{(3x+y)}{z})
derivative of 4^{5x}	\frac{d}{dx}(4^{5x})
integral of x(x+2)^5	\int\:x(x+2)^{5}dx
derivative of (6/7 ^{2/3})	\frac{d}{dx}((\frac{6}{7})^{\frac{2}{3}})
integral of xcsc((pi-x^2)/3)	\int\:x\csc(\frac{π-x^{2}}{3})dx
derivative of f(x)=4arcsin(x^4)	derivative\:f(x)=4\arcsin(x^{4})
derivative of-x^5-(x^3/6+3/x-1/(x^2))	\frac{d}{dx}(-x^{5}-\frac{x^{3}}{6}+\frac{3}{x}-\frac{1}{x^{2}})
derivative of y= 7/((6x)^6)	derivative\:y=\frac{7}{(6x)^{6}}
area 4x,sqrt(64-x^2),[0,6.928]	area\:4x,\sqrt{64-x^{2}},[0,6.928]
limit as x approaches 69.9 of (ln(\frac{x-70)/(230))}{-0.19}	\lim\:_{x\to\:69.9}(\frac{\ln(\frac{x-70}{230})}{-0.19})
area y=x^2-12,y=11x	area\:y=x^{2}-12,y=11x
derivative of (x^2/(x-11))	\frac{d}{dx}(\frac{x^{2}}{x-11})
normal of y= 2/(4x),(4,4)	normal\:y=\frac{2}{4x},(4,4)
limit as x approaches infinity of 2/x+4x	\lim\:_{x\to\:\infty\:}(\frac{2}{x}+4x)
limit as y approaches infinity of 1/y	\lim\:_{y\to\:\infty\:}(\frac{1}{y})
derivative of 3x+4/x	derivative\:3x+\frac{4}{x}
(dy)/(dx)=((x^2+y^2))/(x^2)	\frac{dy}{dx}=\frac{(x^{2}+y^{2})}{x^{2}}
derivative of sqrt(5+3x)	\frac{d}{dx}(\sqrt{5+3x})
area y=2x,x=4	area\:y=2x,x=4
integral of sec^3(x)	\int\:\sec^{3}(x)dx
(\partial)/(\partial y)((x+y)/(z-2y))	\frac{\partial\:}{\partial\:y}(\frac{x+y}{z-2y})
limit as x approaches 0 of (1+2(1/y))^{1/x}	\lim\:_{x\to\:0}((1+2(\frac{1}{y}))^{\frac{1}{x}})
integral from 2 to 3 of (19)/(sqrt(3-x))	\int\:_{2}^{3}\frac{19}{\sqrt{3-x}}dx
y^'=5xe^y	y^{\prime\:}=5xe^{y}
derivative of xln(xy)	\frac{d}{dx}(x\ln(xy))
integral of x^3sqrt(36-x^2)	\int\:x^{3}\sqrt{36-x^{2}}dx
limit as x approaches 0 of (e^x-1)/(13x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{13x})
f(x)=2e^xcos(x)	f(x)=2e^{x}\cos(x)
integral from 0 to 1 of 3e^{-4sqrt(x)}	\int\:_{0}^{1}3e^{-4\sqrt{x}}dx
(\partial ^2)/(\partial x\partial y)(xarcsin(y/x))	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(x\arcsin(\frac{y}{x}))
(dy)/(dt)=e^{4t+5y}	\frac{dy}{dt}=e^{4t+5y}
y=ln(pi)	y=\ln(π)
derivative of (4x^2+4x+8/(sqrt(x)))	\frac{d}{dx}(\frac{4x^{2}+4x+8}{\sqrt{x}})
integral of x(ln(x))^2	\int\:x(\ln(x))^{2}dx
derivative of cos^3(tan(3x))	derivative\:\cos^{3}(\tan(3x))
integral of sqrt(2)e^t	\int\:\sqrt{2}e^{t}dt
derivative of y=(4x^2-13)^{-11}	derivative\:y=(4x^{2}-13)^{-11}
derivative of x/a	derivative\:\frac{x}{a}
integral of (x-3)/(x^3)	\int\:\frac{x-3}{x^{3}}dx
derivative of 16-5x^2	\frac{d}{dx}(16-5x^{2})
limit as x approaches 2-of sin(1/(x-2))	\lim\:_{x\to\:2-}(\sin(\frac{1}{x-2}))
limit as x approaches 2 of x^2+2	\lim\:_{x\to\:2}(x^{2}+2)
(dy)/(dx)=18-y	\frac{dy}{dx}=18-y
laplacetransform (1+x)e^{2x}	laplacetransform\:(1+x)e^{2x}
integral from 0 to 5 of sqrt(1+3x)	\int\:_{0}^{5}\sqrt{1+3x}dx
tangent of f(x)=sqrt(3x),\at x=3	tangent\:f(x)=\sqrt{3x},\at\:x=3
(4x^2+2y^2)dx-xydy=0	(4x^{2}+2y^{2})dx-xydy=0
(dy)/(dx)=x-2y+12	\frac{dy}{dx}=x-2y+12
derivative of f(x)=5x+7	derivative\:f(x)=5x+7
derivative of f(x)= 5/x ,\at P(4, 5/4)	derivative\:f(x)=\frac{5}{x},\at\:P(4,\frac{5}{4})
y^'=8xy-2x	y^{\prime\:}=8xy-2x
integral of-15x^{2/3}	\int\:-15x^{\frac{2}{3}}dx
(dy)/(dx)-yx=0	\frac{dy}{dx}-yx=0
limit as x approaches infinity of 8x^3	\lim\:_{x\to\:\infty\:}(8x^{3})
2y^{''}-3y^'+y=e^{2x}+sin(x)	2y^{\prime\:\prime\:}-3y^{\prime\:}+y=e^{2x}+\sin(x)
f(x)=sin(x^2)	f(x)=\sin(x^{2})
derivative of f(x)=x^{7/2}(3-4x^3)	derivative\:f(x)=x^{\frac{7}{2}}(3-4x^{3})
(\partial)/(\partial x)(1/(2-x))	\frac{\partial\:}{\partial\:x}(\frac{1}{2-x})
(\partial)/(\partial x)(((x-y))/(x+2y))	\frac{\partial\:}{\partial\:x}(\frac{(x-y)}{x+2y})
integral from 1 to 2 of (6-x^2)-(8-3x)	\int\:_{1}^{2}(6-x^{2})-(8-3x)dx
slope ofintercept 6x^2+xy+3y^2=40	slopeintercept\:6x^{2}+xy+3y^{2}=40
integral of tarcsin(t)	\int\:t\arcsin(t)dt
derivative of 2x^3sqrt(x+1)	derivative\:2x^{3}\sqrt{x+1}
inverse oflaplace (e^{-2s})/(s+1)	inverselaplace\:\frac{e^{-2s}}{s+1}
derivative of ((3x^2/(2x+4))^3)	\frac{d}{dx}((\frac{3x^{2}}{2x+4})^{3})
integral of e^{ln\|t\|}	\int\:e^{\ln\left\|t\right\|}dt
integral of 1/S	\int\:\frac{1}{S}dS
slope of f(x)=((x-4))/(sqrt(x)-2)	slope\:f(x)=\frac{(x-4)}{\sqrt{x}-2}
derivative of cos(x+sqrt(x))	\frac{d}{dx}(\cos(x)+\sqrt{x})
integral of 3/4 x^{1/2}	\int\:\frac{3}{4}x^{\frac{1}{2}}dx
integral from 1 to 8 of ((x^{-1/2})/(1+x^{1/2)})	\int\:_{1}^{8}(\frac{x^{-\frac{1}{2}}}{1+x^{\frac{1}{2}}})dx
integral of (5r^2)/(r+5)	\int\:\frac{5r^{2}}{r+5}dr
integral of e^{x-y}	\int\:e^{x-y}dx
integral of tsec^2(8t)	\int\:t\sec^{2}(8t)dt
(d^2y)/(dt^2)+7(dy)/(dt)+12y=0	\frac{d^{2}y}{dt^{2}}+7\frac{dy}{dt}+12y=0
integral from 2 to 5 of e^{1.5t}-2t	\int\:_{2}^{5}e^{1.5t}-2tdt
integral of 1+9/4 x	\int\:1+\frac{9}{4}xdx
integral of x(1-4x^2)^{-1/2}	\int\:x(1-4x^{2})^{-\frac{1}{2}}dx
integral of (32x^2)/((x-9)(x+3)^2)	\int\:\frac{32x^{2}}{(x-9)(x+3)^{2}}dx

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