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Popular Calculus Problems

derivative of y=(x^2-3)^5	derivative\:y=(x^{2}-3)^{5}
derivative of y=e^p(p+psqrt(p))	derivative\:y=e^{p}(p+p\sqrt{p})
limit as x approaches 8-of 1/((x-8)^2)	\lim\:_{x\to\:8-}(\frac{1}{(x-8)^{2}})
integral of (cos(x^2))	\int\:(\cos(x^{2}))dx
integral of xe^{2x+1}	\int\:xe^{2x+1}dx
limit as x approaches 0 of x/(x^2-6x)	\lim\:_{x\to\:0}(\frac{x}{x^{2}-6x})
tangent of f(x)=(5x-7)/(x+1),\at x=0	tangent\:f(x)=\frac{5x-7}{x+1},\at\:x=0
derivative of sqrt(2x)+sqrt(3x)	\frac{d}{dx}(\sqrt{2x}+\sqrt{3x})
(\partial)/(\partial x)(6e^{xy+9})	\frac{\partial\:}{\partial\:x}(6e^{xy+9})
tangent of f(x)=x^2-2,\at x=-5	tangent\:f(x)=x^{2}-2,\at\:x=-5
limit as x approaches 0 of 2x^2-9x+5	\lim\:_{x\to\:0}(2x^{2}-9x+5)
derivative of 1/((x^2+1)^4)	derivative\:\frac{1}{(x^{2}+1)^{4}}
(\partial)/(\partial z)(x^2y+y^2z)	\frac{\partial\:}{\partial\:z}(x^{2}y+y^{2}z)
sum from n=1 to infinity of n/(n(n+3))	\sum\:_{n=1}^{\infty\:}\frac{n}{n(n+3)}
(\partial)/(\partial x)(4e^{x-y})	\frac{\partial\:}{\partial\:x}(4e^{x-y})
(dy)/(dx)=e^{2.3x-1.9y}	\frac{dy}{dx}=e^{2.3x-1.9y}
integral of sec^4((3x)/2)tan^2((3x)/2)	\int\:\sec^{4}(\frac{3x}{2})\tan^{2}(\frac{3x}{2})dx
inverse oflaplace-(e^{-s})/(((s^2+4)*s^2))	inverselaplace\:-\frac{e^{-s}}{((s^{2}+4)\cdot\:s^{2})}
integral of 4xy^2+3x^2	\int\:4xy^{2}+3x^{2}dx
derivative of y=cos(a^8+x^8)	derivative\:y=\cos(a^{8}+x^{8})
derivative of 2csc^2(xcot(x))	\frac{d}{dx}(2\csc^{2}(x)\cot(x))
derivative of (4x^{2/3}/(x^2+1))	\frac{d}{dx}(\frac{4x^{\frac{2}{3}}}{x^{2}+1})
integral of 1/((x+1)sqrt(x^2+2x-15))	\int\:\frac{1}{(x+1)\sqrt{x^{2}+2x-15}}dx
limit as x approaches 3+of 2/(x^2-9)	\lim\:_{x\to\:3+}(\frac{2}{x^{2}-9})
derivative of (e^x)/(5x^6)	derivative\:\frac{e^{x}}{5x^{6}}
limit as x approaches-3 of 2x^2+3x	\lim\:_{x\to\:-3}(2x^{2}+3x)
integral of 1/(at+b)	\int\:\frac{1}{at+b}dt
derivative of x/(x^2+121)	derivative\:\frac{x}{x^{2}+121}
derivative of 2^{(5x-3x^2})	\frac{d}{dx}(2^{(5x-3x^{2})})
slope ofintercept (1,-1),(-1,-2)	slopeintercept\:(1,-1),(-1,-2)
integral from 0 to 1 of xe^{-x^2}	\int\:_{0}^{1}xe^{-x^{2}}dx
integral of-1/(1+x^2)	\int\:-\frac{1}{1+x^{2}}dx
integral of sin(-1(x))	\int\:\sin(-1(x))dx
limit as x approaches 0-of (sec(x))/x	\lim\:_{x\to\:0-}(\frac{\sec(x)}{x})
y^{''}+6y^'+6y=0,y(0)=1,y^'(0)=2	y^{\prime\:\prime\:}+6y^{\prime\:}+6y=0,y(0)=1,y^{\prime\:}(0)=2
derivative of (x-1^2+y^2)	\frac{d}{dx}((x-1)^{2}+y^{2})
derivative of f(x)=x^3+2x	derivative\:f(x)=x^{3}+2x
tangent of 2x^3+4x^2-x+2	tangent\:2x^{3}+4x^{2}-x+2
derivative of y=(x-4)/x	derivative\:y=\frac{x-4}{x}
limit as x approaches-10 of f(x)	\lim\:_{x\to\:-10}(f(x))
limit as x approaches 3-of (x+3)/(x^2-9)	\lim\:_{x\to\:3-}(\frac{x+3}{x^{2}-9})
integral of 4/(sqrt(e^t))	\int\:\frac{4}{\sqrt{e^{t}}}dt
integral of 1/(4sin(x)+3cos(x))	\int\:\frac{1}{4\sin(x)+3\cos(x)}dx
derivative of ln(6-7x)	derivative\:\ln(6-7x)
derivative of e^{-x^2-y^2}cos(xy)	\frac{d}{dx}(e^{-x^{2}-y^{2}}\cos(xy))
limit as x approaches-5 of 3x^3+15x^2-25	\lim\:_{x\to\:-5}(3x^{3}+15x^{2}-25)
sum from n=1 to infinity of n^2e^{-n^3}	\sum\:_{n=1}^{\infty\:}n^{2}e^{-n^{3}}
inverse oflaplace 6/(s^2+9)	inverselaplace\:\frac{6}{s^{2}+9}
limit as x approaches 3-of 2/((x-3))	\lim\:_{x\to\:3-}(\frac{2}{(x-3)})
(\partial)/(\partial u(v))((e^v)/(u(v)+v^9))	\frac{\partial\:}{\partial\:u(v)}(\frac{e^{v}}{u(v)+v^{9}})
integral of (\sqrt[4]{x})/(4+sqrt(x))	\int\:\frac{\sqrt[4]{x}}{4+\sqrt{x}}dx
derivative of 0.3x^35^x	derivative\:0.3x^{3}5^{x}
derivative of sqrt(5x^2-x)	derivative\:\sqrt{5x^{2}-x}
(d^2)/(dx^2)(x^{1/3})	\frac{d^{2}}{dx^{2}}(x^{\frac{1}{3}})
(\partial)/(\partial x)(arctan(x^2y^2))	\frac{\partial\:}{\partial\:x}(\arctan(x^{2}y^{2}))
integral from-1 to 3 of x^2e^{x^3+1}	\int\:_{-1}^{3}x^{2}e^{x^{3}+1}dx
integral of cot(14x)	\int\:\cot(14x)dx
integral of sec^2(2y)	\int\:\sec^{2}(2y)dy
derivative of 4(x+2^{3/2})	\frac{d}{dx}(4(x+2)^{\frac{3}{2}})
(dy)/(dt)=-y/t-6	\frac{dy}{dt}=-\frac{y}{t}-6
integral of ((e^x))/(e^{2x)+1}	\int\:\frac{(e^{x})}{e^{2x}+1}dx
sum from n=1 to infinity of (1^n)/(3^n)	\sum\:_{n=1}^{\infty\:}\frac{1^{n}}{3^{n}}
integral of (sqrt(x^2-441))/x	\int\:\frac{\sqrt{x^{2}-441}}{x}dx
derivative of log_{2}(3x^2-5)	derivative\:\log_{2}(3x^{2}-5)
inverse oflaplace s/(2s+1)	inverselaplace\:\frac{s}{2s+1}
(dy)/(dx)+3/x y=16y^3,y(1)=1	\frac{dy}{dx}+\frac{3}{x}y=16y^{3},y(1)=1
integral from-2 to 2 of 2-sqrt(4-x^2)	\int\:_{-2}^{2}2-\sqrt{4-x^{2}}dx
inverse oflaplace 1/(s+5)	inverselaplace\:\frac{1}{s+5}
tangent of f(x)=-5x^2,\at x=8	tangent\:f(x)=-5x^{2},\at\:x=8
x(x+1)((dy)/(dx))+xy=1,y(e)=1	x(x+1)(\frac{dy}{dx})+xy=1,y(e)=1
integral of 1/(sqrt(9x-7))	\int\:\frac{1}{\sqrt{9x-7}}dx
y=y^'	y=y^{\prime\:}
d/(dy)(e^{-1/(y^3)})	\frac{d}{dy}(e^{-\frac{1}{y^{3}}})
derivative of ((x(x-1)/(2x^2(x+1)))^3)	\frac{d}{dx}((\frac{x(x-1)}{2x^{2}(x+1)})^{3})
derivative of 11sqrt(x)	derivative\:11\sqrt{x}
y^{''}-y^'-12y=e^{4x}	y^{\prime\:\prime\:}-y^{\prime\:}-12y=e^{4x}
integral of (sin(x)tan(x))/1	\int\:\frac{\sin(x)\tan(x)}{1}dx
integral from 0 to 4 of 1/(sqrt(16-x^2))	\int\:_{0}^{4}\frac{1}{\sqrt{16-x^{2}}}dx
limit as x approaches 0+of x^{2x}	\lim\:_{x\to\:0+}(x^{2x})
(\partial)/(\partial t)(e^t)	\frac{\partial\:}{\partial\:t}(e^{t})
sum from n=2 to infinity of (x^n)/n	\sum\:_{n=2}^{\infty\:}\frac{x^{n}}{n}
dy+(3x^2y-x^2)dx=0	dy+(3x^{2}y-x^{2})dx=0
integral of cos(x+y)	\int\:\cos(x+y)dx
limit as s approaches 8+of f(s)	\lim\:_{s\to\:8+}(f(s))
area 9-x^2,4x	area\:9-x^{2},4x
laplacetransform e^{(4t)}	laplacetransform\:e^{(4t)}
integral of 9-3x	\int\:9-3xdx
d/(dy)((23/y-3y)(6-y3/y))	\frac{d}{dy}((2\cdot\:\frac{3}{y}-3y)(6-y\cdot\:\frac{3}{y}))
limit as x approaches 6 of (\|6-x\|)/(6-x)	\lim\:_{x\to\:6}(\frac{\left\|6-x\right\|}{6-x})
integral from 0 to pi/8 of tan(4x)	\int\:_{0}^{\frac{π}{8}}\tan(4x)dx
integral of arccos(1)	\int\:\arccos(1)dx
derivative of f(x)=(8x)/(x^2+1)	derivative\:f(x)=\frac{8x}{x^{2}+1}
derivative of y=x^2ln(x^2)	derivative\:y=x^{2}\ln(x^{2})
derivative of sqrt(\sqrt{1+\sqrt{x)}+1}	\frac{d}{dx}(\sqrt{\sqrt{1+\sqrt{x}}+1})
derivative of ln(sqrt(x+3))	derivative\:\ln(\sqrt{x+3})
integral of (e^{2/x})/(x^2)	\int\:\frac{e^{\frac{2}{x}}}{x^{2}}dx
y^'+6y=4x^3e^{-6x}	y^{\prime\:}+6y=4x^{3}e^{-6x}
(dy)/(dx)=5+e^{y-5x+1},y(0)=-1	\frac{dy}{dx}=5+e^{y-5x+1},y(0)=-1
limit as x approaches 2+of-1	\lim\:_{x\to\:2+}(-1)
derivative of 8x+sqrt(x^2+7x+3)	\frac{d}{dx}(8x+\sqrt{x^{2}+7x+3})

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