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Popular Calculus Problems

(\partial)/(\partial x)(63x^3cos(9x^2y))	\frac{\partial\:}{\partial\:x}(63x^{3}\cos(9x^{2}y))
f(x)=-8cos(2x)	f(x)=-8\cos(2x)
integral from-3 to 3 of (sqrt(9-x^2))	\int\:_{-3}^{3}(\sqrt{9-x^{2}})dx
integral of (sqrt(169-x^2))/x	\int\:\frac{\sqrt{169-x^{2}}}{x}dx
derivative of ((x-1)/((x+1)))	\frac{d}{dx}(\frac{(x-1)}{(x+1)})
inverse oflaplace 5/(s^3)	inverselaplace\:\frac{5}{s^{3}}
integral of 6/(x-2)	\int\:\frac{6}{x-2}dx
derivative of 2cos(x^2)	\frac{d}{dx}(2\cos(x^{2}))
laplacetransform 4x	laplacetransform\:4x
limit as x approaches 2-of (2x+1)/(x-2)	\lim\:_{x\to\:2-}(\frac{2x+1}{x-2})
derivative of x^2tanh(1/x)	\frac{d}{dx}(x^{2}\tanh(\frac{1}{x}))
derivative of sqrt(2)u+sqrt(7u)	derivative\:\sqrt{2}u+\sqrt{7u}
derivative of ((10y^3-9y^2+6y-10))/((2y+3))	derivative\:\frac{(10y^{3}-9y^{2}+6y-10)}{(2y+3)}
y^'=y(1-0.0008y)	y^{\prime\:}=y(1-0.0008y)
5x^{''}+20x^'+20x=28	5x^{\prime\:\prime\:}+20x^{\prime\:}+20x=28
integral of sin^3(x)*cos^2(x)	\int\:\sin^{3}(x)\cdot\:\cos^{2}(x)dx
(\partial)/(\partial x)(5x^4y^{-4})	\frac{\partial\:}{\partial\:x}(5x^{4}y^{-4})
integral of a^{2x}	\int\:a^{2x}dx
integral of arcsin(bx)	\int\:\arcsin(bx)dx
y(dy)/(dx)=sin(x)	y\frac{dy}{dx}=\sin(x)
(dy)/(dx)=xsqrt(1-y^2)	\frac{dy}{dx}=x\sqrt{1-y^{2}}
d/(dy)(y^2+y)	\frac{d}{dy}(y^{2}+y)
integral of (3x)/(sqrt(1-9x^4))	\int\:\frac{3x}{\sqrt{1-9x^{4}}}dx
integral of (1/120)/(-P+120)	\int\:\frac{\frac{1}{120}}{-P+120}dP
parity tan(sin(x))	parity\:\tan(\sin(x))
(dy)/(dx)=((e^x-e^{-x}))/((3+4y))	\frac{dy}{dx}=\frac{(e^{x}-e^{-x})}{(3+4y)}
area y=x-1,y^2=2x+6	area\:y=x-1,y^{2}=2x+6
integral of 4e^xsqrt(10+e^x)	\int\:4e^{x}\sqrt{10+e^{x}}dx
derivative of (1-5t)/(6+t)	derivative\:\frac{1-5t}{6+t}
(\partial)/(\partial x)(x^4-ax^2+a^2)	\frac{\partial\:}{\partial\:x}(x^{4}-ax^{2}+a^{2})
sum from n=1 to infinity of n^{3/2}	\sum\:_{n=1}^{\infty\:}n^{\frac{3}{2}}
t*(dy)/(dt)=t^3+11t^3y	t\cdot\:\frac{dy}{dt}=t^{3}+11t^{3}y
derivative of 2x^5+3x^3-3	derivative\:2x^{5}+3x^{3}-3
limit as x approaches infinity of-3^{-x}	\lim\:_{x\to\:\infty\:}(-3^{-x})
derivative of f(x)=sqrt(x)(x^{-1}+7)	derivative\:f(x)=\sqrt{x}(x^{-1}+7)
integral of (y-4)	\int\:(y-4)dy
derivative of f(x)=sin(x)ln(x^4+1/x)	derivative\:f(x)=\sin(x)\ln(x^{4}+\frac{1}{x})
derivative of 1/(x^3-4x)	\frac{d}{dx}(\frac{1}{x^{3}-4x})
integral of (27)/(27+e^x)	\int\:\frac{27}{27+e^{x}}dx
taylor x^{11/2}	taylor\:x^{\frac{11}{2}}
(\partial)/(\partial x)(arctan(x^2+1))	\frac{\partial\:}{\partial\:x}(\arctan(x^{2}+1))
integral of 5/(x-1)	\int\:\frac{5}{x-1}dx
y^'=((y^2+3xsqrt(x^2+y^2)))/(xy)	y^{\prime\:}=\frac{(y^{2}+3x\sqrt{x^{2}+y^{2}})}{xy}
derivative of sin(xln(x))	\frac{d}{dx}(\sin(x)\ln(x))
limit as θ approaches 0 of (sin(9θ))/θ	\lim\:_{θ\to\:0}(\frac{\sin(9θ)}{θ})
taylor-1/x	taylor\:-\frac{1}{x}
limit as x approaches-infinity of ((3^{6x}+6))/((3^{2x)+4)}	\lim\:_{x\to\:-\infty\:}(\frac{(3^{6x}+6)}{(3^{2x}+4)})
derivative of log_{e}(x^2)	\frac{d}{dx}(\log_{e}(x^{2}))
limit as t approaches infinity of t	\lim\:_{t\to\:\infty\:}(t)
derivative of ((2+5z)/(5z))(15-2z)	derivative\:(\frac{2+5z}{5z})(15-2z)
tangent of y=3sec(x),\at x= pi/6	tangent\:y=3\sec(x),\at\:x=\frac{π}{6}
integral from 0 to 3 of sqrt(9-x^2)	\int\:_{0}^{3}\sqrt{9-x^{2}}dx
integral of (48)/(x^4-10x^2+9)	\int\:\frac{48}{x^{4}-10x^{2}+9}dx
tangent of y=sec(x),\at x= pi/3	tangent\:y=\sec(x),\at\:x=\frac{π}{3}
limit as x approaches 1 of-x^2+4x-1	\lim\:_{x\to\:1}(-x^{2}+4x-1)
derivative of f(x)=sqrt(x)-5\sqrt[3]{x}	derivative\:f(x)=\sqrt{x}-5\sqrt[3]{x}
derivative of-1/((2+x^2))	\frac{d}{dx}(-\frac{1}{(2+x)^{2}})
laplacetransform 10e^{-8(t-6)}	laplacetransform\:10e^{-8(t-6)}
derivative of (x+1/3)	\frac{d}{dx}(\frac{x+1}{3})
integral from 1 to 5 of (x^2+3)/(6x-x^2)	\int\:_{1}^{5}\frac{x^{2}+3}{6x-x^{2}}dx
integral of sqrt(t+1)	\int\:\sqrt{t+1}dt
derivative of (\sqrt[3]{x}(sqrt(x)+3))	\frac{d}{dx}((\sqrt[3]{x})(\sqrt{x}+3))
y^{''}+25y=2sec(5t)	y^{\prime\:\prime\:}+25y=2\sec(5t)
limit as x approaches 0 of 5^x	\lim\:_{x\to\:0}(5^{x})
sum from n=6 to infinity of e^{3-4n}	\sum\:_{n=6}^{\infty\:}e^{3-4n}
derivative of x^2sqrt(x+1)	derivative\:x^{2}\sqrt{x+1}
derivative of (x^5+5^{4/3}tan(2x))	\frac{d}{dx}((x^{5}+5)^{\frac{4}{3}}\tan(2x))
limit as x approaches infinity of 4x-x^2	\lim\:_{x\to\:\infty\:}(4x-x^{2})
integral of 2xe^{9x}	\int\:2xe^{9x}dx
(\partial)/(\partial y)(x^{3/2}-3y)	\frac{\partial\:}{\partial\:y}(x^{\frac{3}{2}}-3y)
inverse oflaplace 6/(s^2-5s-20)	inverselaplace\:\frac{6}{s^{2}-5s-20}
(\partial)/(\partial y)(xye^{x/y})	\frac{\partial\:}{\partial\:y}(xye^{\frac{x}{y}})
derivative of (6x^{5x})	\frac{d}{dx}((6x)^{5x})
(x-yarctan(y/x))dx+xarctan(y/x)dy=0	(x-y\arctan(\frac{y}{x}))dx+x\arctan(\frac{y}{x})dy=0
derivative of h(x)= 2/(x^5)+1/(x^7)	derivative\:h(x)=\frac{2}{x^{5}}+\frac{1}{x^{7}}
integral from-1 to 1 of x(x^2+1)^3	\int\:_{-1}^{1}x(x^{2}+1)^{3}dx
x^2y^{''}+xy^'-4y=x^2+x	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}-4y=x^{2}+x
(d^3)/(dx^3)(x^4-6x^3)	\frac{d^{3}}{dx^{3}}(x^{4}-6x^{3})
derivative of 14t^2	derivative\:14t^{2}
area x=((y-3)^2)/3 ,x=9-y	area\:x=\frac{(y-3)^{2}}{3},x=9-y
integral of sin^2(x)cos(x)	\int\:\sin^{2}(x)\cos(x)dx
derivative of e^{5x^5}	\frac{d}{dx}(e^{5x^{5}})
derivative of-4cos(x+xsin(x))	\frac{d}{dx}(-4\cos(x)+x\sin(x))
integral from 0 to 3 of (3-2x+x^2)	\int\:_{0}^{3}(3-2x+x^{2})dx
limit as x approaches 4 of 6x+\|x-4\|	\lim\:_{x\to\:4}(6x+\left\|x-4\right\|)
limit as x approaches-infinity of x*(-1)	\lim\:_{x\to\:-\infty\:}(x\cdot\:(-1))
derivative of xln(2x)-x	derivative\:x\ln(2x)-x
derivative of f(x)=x^2+3x-2	derivative\:f(x)=x^{2}+3x-2
derivative of f(x)=12sqrt(t)	derivative\:f(x)=12\sqrt{t}
limit as x approaches infinity of e 1/x	\lim\:_{x\to\:\infty\:}(e\frac{1}{x})
tangent of f(x)=5sqrt(x),\at x=1	tangent\:f(x)=5\sqrt{x},\at\:x=1
laplacetransform t^3*cos(3t)	laplacetransform\:t^{3}\cdot\:\cos(3t)
limit as x approaches 0 of x+1	\lim\:_{x\to\:0}(x+1)
(\partial)/(\partial z)(y/(x^2+y^2+z^2))	\frac{\partial\:}{\partial\:z}(\frac{y}{x^{2}+y^{2}+z^{2}})
(d^6)/(dx^6)(x^{-7})	\frac{d^{6}}{dx^{6}}(x^{-7})
integral of (3x+cos(x))	\int\:(3x+\cos(x))dx
integral of 1/(sqrt(x^2-6x+25))	\int\:\frac{1}{\sqrt{x^{2}-6x+25}}dx
(\partial)/(\partial x)(-6x+18)	\frac{\partial\:}{\partial\:x}(-6x+18)
derivative of x^2+16	\frac{d}{dx}(x^{2}+16)
area 1/(x+1),((x-1))/2	area\:\frac{1}{x+1},\frac{(x-1)}{2}

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