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Popular Calculus Problems

derivative of (6x/(e^x))	\frac{d}{dx}(\frac{6x}{e^{x}})
integral of x^2cos(wx)	\int\:x^{2}\cos(wx)dx
f(I)=(110I)/(I^2+I+1)	f(I)=\frac{110I}{I^{2}+I+1}
derivative of arctan(4t)	derivative\:\arctan(4t)
integral of (x^2)/(3-x^3)	\int\:\frac{x^{2}}{3-x^{3}}dx
derivative of 1500x+3000(5x+3)^{-1}-1000	derivative\:1500x+3000(5x+3)^{-1}-1000
inverse oflaplace (e^{-4s})/s	inverselaplace\:\frac{e^{-4s}}{s}
integral from 0 to 5/4 of 1/(25+16x^2)	\int\:_{0}^{\frac{5}{4}}\frac{1}{25+16x^{2}}dx
derivative of yln(x)	\frac{d}{dx}(y\ln(x))
derivative of y=(4ln(3x))/(5+2x)	derivative\:y=\frac{4\ln(3x)}{5+2x}
tangent of 6cos(t),\at t=-pi/4	tangent\:6\cos(t),\at\:t=-\frac{π}{4}
inverse oflaplace 2s+1	inverselaplace\:2s+1
tangent of f(x)=x^4-4x^3+2x^2-6,\at x=1	tangent\:f(x)=x^{4}-4x^{3}+2x^{2}-6,\at\:x=1
integral of (x^2)/(x^2+x+12)	\int\:\frac{x^{2}}{x^{2}+x+12}dx
integral of 1/(sqrt(-t^2+3t-2))	\int\:\frac{1}{\sqrt{-t^{2}+3t-2}}dt
integral of e^{(x^2)/4}	\int\:e^{\frac{x^{2}}{4}}dx
xy(dy)/(dx)=7	xy\frac{dy}{dx}=7
integral from 0 to 1 of sin(pit+pi/4)	\int\:_{0}^{1}\sin(πt+\frac{π}{4})dt
integral of 3w	\int\:3wdw
y^{'''}+16y^'=0	y^{\prime\:\prime\:\prime\:}+16y^{\prime\:}=0
y^'=((x-1))/y	y^{\prime\:}=\frac{(x-1)}{y}
derivative of 1/(3^{(-x^2-y^2)+1})	\frac{d}{dx}(\frac{1}{3^{(-x^{2}-y^{2})}+1})
integral of 3t^{-4}(2+4t^{-3})^{-7}	\int\:3t^{-4}(2+4t^{-3})^{-7}dt
integral of t^3sqrt(t^4+5)	\int\:t^{3}\sqrt{t^{4}+5}dt
integral of (-2x)/(\sqrt[4]{x+2)}	\int\:\frac{-2x}{\sqrt[4]{x+2}}dx
limit as x approaches 0 of x^2+3x-1	\lim\:_{x\to\:0}(x^{2}+3x-1)
derivative of 4x^2-5	\frac{d}{dx}(4x^{2}-5)
(d^2)/(dx^2)(3sqrt(x)-7/x)	\frac{d^{2}}{dx^{2}}(3\sqrt{x}-\frac{7}{x})
derivative of ln(sqrt((3x/(x+2))))	\frac{d}{dx}(\ln(\sqrt{\frac{3x}{x+2}}))
derivative of 32cos(2x)	\frac{d}{dx}(32\cos(2x))
limit as x approaches-2 of 3	\lim\:_{x\to\:-2}(3)
derivative of 8sec^2(x)	\frac{d}{dx}(8\sec^{2}(x))
integral from 1 to sqrt(2 of)xe^{x^2}	\int\:_{1}^{\sqrt{2}}xe^{x^{2}}dx
integral of-2tan(2y)	\int\:-2\tan(2y)dy
(\partial)/(\partial x)(9-x^2+xy-3y^2)	\frac{\partial\:}{\partial\:x}(9-x^{2}+xy-3y^{2})
area 12-x^2,x^2-6,[-3,3]	area\:12-x^{2},x^{2}-6,[-3,3]
tangent of y= 1/x ,(2, 1/2)	tangent\:y=\frac{1}{x},(2,\frac{1}{2})
(\partial)/(\partial x)(e^{sin(x)})	\frac{\partial\:}{\partial\:x}(e^{\sin(x)})
derivative of sqrt(16-x)	\frac{d}{dx}(\sqrt{16-x})
limit as x approaches 0 of (cos(x-1))/x	\lim\:_{x\to\:0}(\frac{\cos(x-1)}{x})
derivative of x^2+8x-5	\frac{d}{dx}(x^{2}+8x-5)
derivative of x^{11/12}	derivative\:x^{\frac{11}{12}}
area y^2=x,y=-x+2	area\:y^{2}=x,y=-x+2
laplacetransform e^{-4t}+5	laplacetransform\:e^{-4t}+5
taylor x^{1/2},1	taylor\:x^{\frac{1}{2}},1
derivative of sin(x^2+(1-x)/(1+x))	\frac{d}{dx}(\sin(x^{2})+\frac{1-x}{1+x})
derivative of 2(x-sin(x))	\frac{d}{dx}(2(x-\sin(x)))
derivative of (4x/(9-tan(x)))	\frac{d}{dx}(\frac{4x}{9-\tan(x)})
(\partial)/(\partial z)(xe^{{w}(x,z)})	\frac{\partial\:}{\partial\:z}(xe^{{w}(x,z)})
derivative of xsin(pix)	derivative\:x\sin(πx)
ln(x)-x^2y=xy^'	\ln(x)-x^{2}y=xy^{\prime\:}
integral from 1 to 4 of 5/(sqrt(x))	\int\:_{1}^{4}\frac{5}{\sqrt{x}}dx
derivative of x/2-ln(3)	\frac{d}{dx}(\frac{x}{2}-\ln(3))
(dx)/(dt)=-ax	\frac{dx}{dt}=-ax
integral from 3 to 7 of x/(x^2-2)	\int\:_{3}^{7}\frac{x}{x^{2}-2}dx
tangent of y=x^2-5x+5(0.5)	tangent\:y=x^{2}-5x+5(0.5)
derivative of F(s)=ln(ln(6s))	derivative\:F(s)=\ln(\ln(6s))
integral from 0 to pi/2 of sec(x)	\int\:_{0}^{\frac{π}{2}}\sec(x)dx
limit as t approaches 0 of (tan(10t))/(sin(2t))	\lim\:_{t\to\:0}(\frac{\tan(10t)}{\sin(2t)})
derivative of x*e^{3x}	\frac{d}{dx}(x\cdot\:e^{3x})
integral of 1/(6-x)	\int\:\frac{1}{6-x}dx
derivative of 6pix^2	derivative\:6πx^{2}
integral of 14x^{-1}	\int\:14x^{-1}dx
(dx)/(dt)+3tx^3+x/t =0	\frac{dx}{dt}+3tx^{3}+\frac{x}{t}=0
(\partial)/(\partial x)(3x^2+2xy-y^2)	\frac{\partial\:}{\partial\:x}(3x^{2}+2xy-y^{2})
xy^'+2y=3e^x	xy^{\prime\:}+2y=3e^{x}
derivative of-3/5000 r^3+9/50 r^2	derivative\:-\frac{3}{5000}r^{3}+\frac{9}{50}r^{2}
derivative of ((x^2-x-2))/((x^2-6x+9))	derivative\:\frac{(x^{2}-x-2)}{(x^{2}-6x+9)}
limit as x approaches 9+of x^2+5x+7	\lim\:_{x\to\:9+}(x^{2}+5x+7)
tangent of f(x)=x^3,(-1,-1)	tangent\:f(x)=x^{3},(-1,-1)
(dy)/(dx)=sqrt(yx)	\frac{dy}{dx}=\sqrt{yx}
(\partial)/(\partial x)(x^4+y^4-4xy+2)	\frac{\partial\:}{\partial\:x}(x^{4}+y^{4}-4xy+2)
integral from 0 to 2 of-7x^3sqrt(x^2+4)	\int\:_{0}^{2}-7x^{3}\sqrt{x^{2}+4}dx
derivative of (1+4x^{3/2})	\frac{d}{dx}((1+4x)^{\frac{3}{2}})
integral from 0 to infinity of 2e^{-2x}	\int\:_{0}^{\infty\:}2e^{-2x}dx
integral from-8 to 8 of 1/(\sqrt[3]{x)}	\int\:_{-8}^{8}\frac{1}{\sqrt[3]{x}}dx
implicit (dy)/(dx),y=7x^8	implicit\:\frac{dy}{dx},y=7x^{8}
integral of 3sqrt(x)-4x	\int\:3\sqrt{x}-4xdx
limit as x approaches 3-of (2x)/(x-3)	\lim\:_{x\to\:3-}(\frac{2x}{x-3})
limit as x approaches 3 of log_{5}(x)	\lim\:_{x\to\:3}(\log_{5}(x))
derivative of x+sqrt(y)	\frac{d}{dx}(x+\sqrt{y})
laplacetransform sin(t)	laplacetransform\:\sin(t)
limit as x approaches 0+of e^x	\lim\:_{x\to\:0+}(e^{x})
(d^2)/(dx^2)((4x^2+2x)sin(x))	\frac{d^{2}}{dx^{2}}((4x^{2}+2x)\sin(x))
slope of (-2,2),(2,-1)	slope\:(-2,2),(2,-1)
derivative of 3x^4-16x^3+18x^2	\frac{d}{dx}(3x^{4}-16x^{3}+18x^{2})
integral from 0 to pi/(24) of tan(12x)	\int\:_{0}^{\frac{π}{24}}\tan(12x)dx
integral of (2x+1)/(x^2+x-6)	\int\:\frac{2x+1}{x^{2}+x-6}dx
derivative of ln((x+1/(x-1)))	\frac{d}{dx}(\ln(\frac{x+1}{x-1}))
derivative of (x-2^{4x})	\frac{d}{dx}((x-2)^{4x})
integral of (tan(2x))^2	\int\:(\tan(2x))^{2}dx
integral from 0 to 1/300 of 94sin(225)	\int\:_{0}^{\frac{1}{300}}94\sin(225)dt
integral of 2/(t^3)	\int\:\frac{2}{t^{3}}dt
limit as x approaches 0 of (6-6cos(x))/3	\lim\:_{x\to\:0}(\frac{6-6\cos(x)}{3})
integral of (e^{-x}(-4+4xln(x)))/(2x)	\int\:\frac{e^{-x}(-4+4x\ln(x))}{2x}dx
integral of (sqrt(y^2-121))/y	\int\:\frac{\sqrt{y^{2}-121}}{y}dy
derivative of log_{10}(x)	derivative\:\log_{10}(x)
derivative of-(3x/(2y))	\frac{d}{dx}(-\frac{3x}{2y})
integral of e^{-x}cos(6x)	\int\:e^{-x}\cos(6x)dx
(dy)/(dx)= x/(y(x^2+1))	\frac{dy}{dx}=\frac{x}{y(x^{2}+1)}

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