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Popular Calculus Problems

tangent of f(x)=sqrt(6-x),\at x=-3	tangent\:f(x)=\sqrt{6-x},\at\:x=-3
derivative of x^{-2}e^x	\frac{d}{dx}(x^{-2}e^{x})
area x^2-4x-6,-x^2+4x+4	area\:x^{2}-4x-6,-x^{2}+4x+4
(dy)/(dx)=y^2*x^{-3}	\frac{dy}{dx}=y^{2}\cdot\:x^{-3}
(\partial)/(\partial y)(4/(y^2)+x)	\frac{\partial\:}{\partial\:y}(\frac{4}{y^{2}}+x)
integral of 9xe^{-4x}	\int\:9xe^{-4x}dx
derivative of log_{x}(x)	\frac{d}{dx}(\log_{x}(x))
integral of (3xz^2+2)	\int\:(3xz^{2}+2)dz
(\partial)/(\partial x)(-3y^2)	\frac{\partial\:}{\partial\:x}(-3y^{2})
derivative of log_{10}((x^2-1/x))	\frac{d}{dx}(\log_{10}(\frac{x^{2}-1}{x}))
integral of (ln(x))(sin(x))	\int\:(\ln(x))(\sin(x))dx
(dr)/(dθ)cot(θ)-r=2	\frac{dr}{dθ}\cot(θ)-r=2
tangent of f(x)=x^2-8,(-4,8)	tangent\:f(x)=x^{2}-8,(-4,8)
integral from 1 to 4 of-8sqrt(t)ln(t)	\int\:_{1}^{4}-8\sqrt{t}\ln(t)dt
integral of (e^{-2x})/(1+e^{-2x)}	\int\:\frac{e^{-2x}}{1+e^{-2x}}dx
derivative of x^7sin(x)	\frac{d}{dx}(x^{7}\sin(x))
integral of 1/(x^3)sqrt((x^2-1)/(x^2))	\int\:\frac{1}{x^{3}}\sqrt{\frac{x^{2}-1}{x^{2}}}dx
(d^2)/(dx^2)((x^2+8)^5)	\frac{d^{2}}{dx^{2}}((x^{2}+8)^{5})
derivative of (1-ln(x-1))/((x-1)^2)	derivative\:\frac{1-\ln(x-1)}{(x-1)^{2}}
integral of x^2sqrt(7x+7)	\int\:x^{2}\sqrt{7x+7}dx
(\partial)/(\partial y)(xyz-cos(x+y+z))	\frac{\partial\:}{\partial\:y}(xyz-\cos(x+y+z))
(dy)/(dx)=(4x+2y+1)/(2x+y+3)	\frac{dy}{dx}=\frac{4x+2y+1}{2x+y+3}
derivative of f(x)=sqrt(arctan(x))	derivative\:f(x)=\sqrt{\arctan(x)}
taylor x-1	taylor\:x-1
integral from 2 to 4 of 1/(5-3x)	\int\:_{2}^{4}\frac{1}{5-3x}dx
integral from 6 to 8 of (2x)/(x-5)	\int\:_{6}^{8}\frac{2x}{x-5}dx
derivative of 4/(x-7)	\frac{d}{dx}(\frac{4}{x-7})
tangent of f(x)=(4x-2)^{1/5},\at x=0	tangent\:f(x)=(4x-2)^{\frac{1}{5}},\at\:x=0
integral of 2x^3+x	\int\:2x^{3}+xdx
tangent of f(x)=2x^2+5x-3,\at x=1	tangent\:f(x)=2x^{2}+5x-3,\at\:x=1
integral of (sin(2x))/(41+cos^2(x))	\int\:\frac{\sin(2x)}{41+\cos^{2}(x)}dx
integral from 1 to 3 of sqrt(x)ln(x)	\int\:_{1}^{3}\sqrt{x}\ln(x)dx
(\partial)/(\partial y)(pixsqrt(x^2+y^2))	\frac{\partial\:}{\partial\:y}(πx\sqrt{x^{2}+y^{2}})
tangent of (-1)/((2x+1)sqrt(2x+1))	tangent\:\frac{-1}{(2x+1)\sqrt{2x+1}}
derivative of sqrt(1-3x)	\frac{d}{dx}(\sqrt{1-3x})
derivative of x^3+3x^2-9x+1	\frac{d}{dx}(x^{3}+3x^{2}-9x+1)
derivative of e^{8-x}	\frac{d}{dx}(e^{8-x})
integral of 1/(x^2+6x+45)	\int\:\frac{1}{x^{2}+6x+45}dx
derivative of 1/((5+x^2))	\frac{d}{dx}(\frac{1}{(5+x)^{2}})
integral of 1/((t^2-1)^2)	\int\:\frac{1}{(t^{2}-1)^{2}}dt
sum from n=1 to infinity of 4/(4n^2-1)	\sum\:_{n=1}^{\infty\:}\frac{4}{4n^{2}-1}
(\partial)/(\partial x)(x^2yz^2-4cos(3yz))	\frac{\partial\:}{\partial\:x}(x^{2}yz^{2}-4\cos(3yz))
tangent of f(x)=-3x^2+1x,\at x=0	tangent\:f(x)=-3x^{2}+1x,\at\:x=0
derivative of 1+3sin^3(x)	\frac{d}{dx}(1+3\sin^{3}(x))
derivative of sqrt(x^2+1)+x^2	derivative\:\sqrt{x^{2}+1}+x^{2}
integral from pi/4 to x of sec^2(t)	\int\:_{\frac{π}{4}}^{x}\sec^{2}(t)dt
integral of (x+1)/(sqrt(x^2-2x-1))	\int\:\frac{x+1}{\sqrt{x^{2}-2x-1}}dx
integral of (2t-1)^2	\int\:(2t-1)^{2}dt
derivative of 10^{tan(pix})	\frac{d}{dx}(10^{\tan(πx)})
derivative of 3*cos(x)	\frac{d}{dx}(3\cdot\:\cos(x))
limit as x approaches 1/2 of xsec(pix)	\lim\:_{x\to\:\frac{1}{2}}(x\sec(πx))
derivative of (sqrt(3x^2)/2)	\frac{d}{dx}(\frac{\sqrt{3x^{2}}}{2})
(\partial)/(\partial x)(4e^x)	\frac{\partial\:}{\partial\:x}(4e^{x})
limit as x approaches-4+of \|5x+10\|	\lim\:_{x\to\:-4+}(\left\|5x+10\right\|)
derivative of 2/(x^9)	\frac{d}{dx}(\frac{2}{x^{9}})
(\partial)/(\partial y)(x^{-2}y^{-5})	\frac{\partial\:}{\partial\:y}(x^{-2}y^{-5})
integral of sin(14x)cos(9x)	\int\:\sin(14x)\cos(9x)dx
derivative of sin(2/x)	\frac{d}{dx}(\sin(\frac{2}{x}))
(dx)/(dy)=sqrt(y/5)	\frac{dx}{dy}=\sqrt{\frac{y}{5}}
(\partial)/(\partial x)(3xe^x)	\frac{\partial\:}{\partial\:x}(3xe^{x})
limit as x approaches 3 of 2	\lim\:_{x\to\:3}(2)
area y=(x-1)(x-2)(x-3),[0,3]	area\:y=(x-1)(x-2)(x-3),[0,3]
integral of cos^6(θ)sin(2θ)	\int\:\cos^{6}(θ)\sin(2θ)dθ
integral of xsqrt(16-4x^2)	\int\:x\sqrt{16-4x^{2}}dx
derivative of 5ln(12x)	\frac{d}{dx}(5\ln(12x))
limit as x approaches 0 of (x^3-1)/x	\lim\:_{x\to\:0}(\frac{x^{3}-1}{x})
limit as x approaches 3 of (2x)/(x-3)	\lim\:_{x\to\:3}(\frac{2x}{x-3})
(dy)/(dx)=e^{x+y-1}-1	\frac{dy}{dx}=e^{x+y-1}-1
limit as x approaches 3 of (x+5)/(x-3)	\lim\:_{x\to\:3}(\frac{x+5}{x-3})
derivative of \sqrt[n]{ax+1}	\frac{d}{dx}(\sqrt[n]{ax+1})
inverse oflaplace (3e^{-2s})/(4s^2+100)	inverselaplace\:\frac{3e^{-2s}}{4s^{2}+100}
integral of (arctan(9x))/(1+81x^2)	\int\:\frac{\arctan(9x)}{1+81x^{2}}dx
(dy)/(dx)-2y=x	\frac{dy}{dx}-2y=x
derivative of y+y=4	\frac{d}{dx}y+y=4
integral of x^2n^2x	\int\:x^{2}n^{2}xdx
integral from 0 to 1 of (t^2)/(1+t^6)	\int\:_{0}^{1}\frac{t^{2}}{1+t^{6}}dt
derivative of (sqrt(x))/(x+3)	derivative\:\frac{\sqrt{x}}{x+3}
tangent of (2x-1)^{(2)}ln(2x-1)	tangent\:(2x-1)^{(2)}\ln(2x-1)
derivative of arctan(sqrt(x^2-2)+C)	\frac{d}{dx}(\arctan(\sqrt{x^{2}-2})+C)
integral of (sec^2(x))/((1+tan(x))^2)	\int\:\frac{\sec^{2}(x)}{(1+\tan(x))^{2}}dx
integral of 1/((x+1)^2(x-2))	\int\:\frac{1}{(x+1)^{2}(x-2)}dx
inverse oflaplace 1/(s^2(s^2+16))	inverselaplace\:\frac{1}{s^{2}(s^{2}+16)}
integral of 9sin^6(z)	\int\:9\sin^{6}(z)dz
derivative of 6x+7	\frac{d}{dx}(6x+7)
derivative of (5600/x)	\frac{d}{dx}(\frac{5600}{x})
integral of ((1+t)/t)^3	\int\:(\frac{1+t}{t})^{3}dt
limit as x approaches 0 of cos(3x)	\lim\:_{x\to\:0}(\cos(3x))
integral of xabe^{-abx+abc}	\int\:x\cdot\:ab\cdot\:e^{-abx+abc}dx
integral of 3x^2sin(pix)	\int\:3x^{2}\sin(πx)dx
d/(dy)(sqrt(y/5))	\frac{d}{dy}(\sqrt{\frac{y}{5}})
limit as t approaches 0 of (t^2+3t)/t	\lim\:_{t\to\:0}(\frac{t^{2}+3t}{t})
derivative of (8x+e^{-x^2}^2)	\frac{d}{dx}((8x+e^{-x^{2}})^{2})
derivative of x+(100/x)	\frac{d}{dx}(x+\frac{100}{x})
(2y^2+4x^2)dx-xydy=0	(2y^{2}+4x^{2})dx-xydy=0
(dx)/(dy)+xy^2=0	\frac{dx}{dy}+xy^{2}=0
normal of y=5+sqrt(4-x),(0,8)	normal\:y=5+\sqrt{4-x},(0,8)
integral of (sqrt(x)+1)/x	\int\:\frac{\sqrt{x}+1}{x}dx
derivative of y^4	derivative\:y^{4}
(2sin(t))^'	(2\sin(t))^{\prime\:}
limit as x approaches 2 of x^2+sqrt(7-x)	\lim\:_{x\to\:2}(x^{2}+\sqrt{7-x})

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