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Popular Calculus Problems

integral of 1/(a^2+u^2)	\int\:\frac{1}{a^{2}+u^{2}}du
(\partial)/(\partial y)((2x-5y)^2)	\frac{\partial\:}{\partial\:y}((2x-5y)^{2})
(10y^2-xy)dx+(x^2)dy=0	(10y^{2}-xy)dx+(x^{2})dy=0
integral of 2x(x^2+3)^2	\int\:2x(x^{2}+3)^{2}dx
24y^{''}+12y^'=0,y(3)=-3,y^'(-4)=4	24y^{\prime\:\prime\:}+12y^{\prime\:}=0,y(3)=-3,y^{\prime\:}(-4)=4
derivative of (2x+9)^2	derivative\:(2x+9)^{2}
integral of (tan(x))/(1-sin^2(x))	\int\:\frac{\tan(x)}{1-\sin^{2}(x)}dx
derivative of f(x)=log_{e}(10x)	derivative\:f(x)=\log_{e}(10x)
(dy)/(dx)=sin^2(y)	\frac{dy}{dx}=\sin^{2}(y)
derivative of arcsec(1/(2x^2-1))	\frac{d}{dx}(\arcsec(\frac{1}{2x^{2}-1}))
integral of (x^2+1)/(x^3-6x^2+12x-8)	\int\:\frac{x^{2}+1}{x^{3}-6x^{2}+12x-8}dx
integral of (u^3)/(u+1)	\int\:\frac{u^{3}}{u+1}du
y^'+3y=2sin(3t)	y^{\prime\:}+3y=2\sin(3t)
derivative of (x^2-35)/(x-6)	derivative\:\frac{x^{2}-35}{x-6}
derivative of-16sin(2x)	derivative\:-16\sin(2x)
integral of sec(1-x)tan(1-x)	\int\:\sec(1-x)\tan(1-x)dx
integral of (-4/(x^3)-8/(x^5))	\int\:(-\frac{4}{x^{3}}-\frac{8}{x^{5}})dx
integral of (sqrt(x))/(x+x^{4/5)}	\int\:\frac{\sqrt{x}}{x+x^{\frac{4}{5}}}dx
integral from 3 to 6 of 8	\int\:_{3}^{6}8dx
integral of-5pisin(pix)	\int\:-5π\sin(πx)dx
integral of 1/((1+x)^3)	\int\:\frac{1}{(1+x)^{3}}dx
derivative of-2/(x^3)	derivative\:-\frac{2}{x^{3}}
derivative of x/(sqrt(x-9))	\frac{d}{dx}(\frac{x}{\sqrt{x-9}})
integral of ((8x-3))/(sqrt(12x-4x^2-5))	\int\:\frac{(8x-3)}{\sqrt{12x-4x^{2}-5}}dx
slope of y=-2-7x^2	slope\:y=-2-7x^{2}
derivative of ((sqrt(x)-6)/(sqrt(x)+6))	\frac{d}{dx}(\frac{(\sqrt{x}-6)}{\sqrt{x}+6})
simplify ((1+sin(t))/(1-cos(t)))^2	simplify\:(\frac{1+\sin(t)}{1-\cos(t)})^{2}
integral from 0 to infinity of 9sin^2(x)	\int\:_{0}^{\infty\:}9\sin^{2}(x)dx
(x-y^2x)dx+(y-x^2y)dy=0	(x-y^{2}x)dx+(y-x^{2}y)dy=0
area x=6-y^2,x=y	area\:x=6-y^{2},x=y
derivative of y=x^3-3x+2	derivative\:y=x^{3}-3x+2
derivative of x^3-3x+2	derivative\:x^{3}-3x+2
area y=3x-2,x=2,x=4,y=0	area\:y=3x-2,x=2,x=4,y=0
derivative of 2t(3t^2-7)^5	derivative\:2t(3t^{2}-7)^{5}
limit as x approaches 4 of sqrt(5x-4)	\lim\:_{x\to\:4}(\sqrt{5x-4})
integral of (x+1)e^{(x+1)^2}	\int\:(x+1)e^{(x+1)^{2}}dx
derivative of y=(3sqrt(x)+2)x^2	derivative\:y=(3\sqrt{x}+2)x^{2}
derivative of 2x^2+y^2-ln(xy^2)	\frac{d}{dx}(2x^{2}+y^{2}-\ln(xy^{2}))
tangent of y=2+1/x ,(1,3)	tangent\:y=2+\frac{1}{x},(1,3)
integral of (4x+1)/(2x^2+x)	\int\:\frac{4x+1}{2x^{2}+x}dx
(\partial)/(\partial x)(x^2sin(11t))	\frac{\partial\:}{\partial\:x}(x^{2}\sin(11t))
derivative of (x^4-5x^3+8/(x^2))	\frac{d}{dx}(\frac{x^{4}-5x^{3}+8}{x^{2}})
derivative of e^{-x^9}	\frac{d}{dx}(e^{-x^{9}})
integral of (tan^2(x)sec(x))	\int\:(\tan^{2}(x)\sec(x))dx
limit as x approaches 1 of 4x+3	\lim\:_{x\to\:1}(4x+3)
integral of sin(x)cot(x)	\int\:\sin(x)\cot(x)dx
limit as x approaches 0-of ln(-x)	\lim\:_{x\to\:0-}(\ln(-x))
slope of (6,-9),(-2,-1)	slope\:(6,-9),(-2,-1)
t^2y^{''}+ty^'+36y=0	t^{2}y^{\prime\:\prime\:}+ty^{\prime\:}+36y=0
derivative of 2x+1/x	derivative\:2x+\frac{1}{x}
integral of 6/(x^2)	\int\:\frac{6}{x^{2}}dx
derivative of x*f(x)	derivative\:x\cdot\:f(x)
derivative of (x+1^3(1-x))	\frac{d}{dx}((x+1)^{3}(1-x))
inverse oflaplace 1/((s^2(s^2+4)))	inverselaplace\:\frac{1}{(s^{2}(s^{2}+4))}
laplacetransform e^{2t}cos(3t-5)	laplacetransform\:e^{2t}\cos(3t-5)
tangent of f(x)=2x^4-11x^2,\at x=2	tangent\:f(x)=2x^{4}-11x^{2},\at\:x=2
derivative of f(x)=(x^2+3x+2)/(x^2-1)	derivative\:f(x)=\frac{x^{2}+3x+2}{x^{2}-1}
x^2y^{''}-6xy^'+10y=-8x^3	x^{2}y^{\prime\:\prime\:}-6xy^{\prime\:}+10y=-8x^{3}
integral from-4 to 4 of 1/2 (16^2-x^4)	\int\:_{-4}^{4}\frac{1}{2}(16^{2}-x^{4})dx
integral of cos(3x+1)	\int\:\cos(3x+1)dx
limit as x approaches 0 of 4sin(x)-1	\lim\:_{x\to\:0}(4\sin(x)-1)
integral from 0 to 4 of x	\int\:_{0}^{4}xdx
limit as x approaches 0-of x-2	\lim\:_{x\to\:0-}(x-2)
tangent of f(x)=2x^2-3,(2,5)	tangent\:f(x)=2x^{2}-3,(2,5)
laplacetransform 3cos(2t)	laplacetransform\:3\cos(2t)
derivative of (x^3)/(4-x^2)	derivative\:\frac{x^{3}}{4-x^{2}}
(\partial)/(\partial x)((-x+3y)/((x+y)^3))	\frac{\partial\:}{\partial\:x}(\frac{-x+3y}{(x+y)^{3}})
derivative of ln(x*x)	\frac{d}{dx}(\ln(x)\cdot\:x)
derivative of x(x-2)^3	derivative\:x(x-2)^{3}
derivative of f(x)=(sqrt(x))/(3+x)	derivative\:f(x)=\frac{\sqrt{x}}{3+x}
integral from 0 to pi of cos(x)cos(nx)	\int\:_{0}^{π}\cos(x)\cos(nx)dx
(x^3+e^y)(dy)/(dx)=3x^2	(x^{3}+e^{y})\frac{dy}{dx}=3x^{2}
limit as x approaches infinity of x-1	\lim\:_{x\to\:\infty\:}(x-1)
(d^2y)/(dt^2)+2(dy)/(dt)+y=0	\frac{d^{2}y}{dt^{2}}+2\frac{dy}{dt}+y=0
derivative of x/((x-9^2))	\frac{d}{dx}(\frac{x}{(x-9)^{2}})
derivative of (8x^2+9/(x^2+1))	\frac{d}{dx}(\frac{8x^{2}+9}{x^{2}+1})
(\partial)/(\partial y)(1/2 y)	\frac{\partial\:}{\partial\:y}(\frac{1}{2}y)
integral of-3tan^3(x)	\int\:-3\tan^{3}(x)dx
6y^{''}+11y^'-2y=0	6y^{\prime\:\prime\:}+11y^{\prime\:}-2y=0
integral of x^2sqrt(6^2-x^2)	\int\:x^{2}\sqrt{6^{2}-x^{2}}dx
integral of (x+3)(x-4)	\int\:(x+3)(x-4)dx
integral from 1 to 2 of x^3+2	\int\:_{1}^{2}x^{3}+2dx
integral of 1/(x^{10)}	\int\:\frac{1}{x^{10}}dx
derivative of 1/((3-x)^2)	derivative\:\frac{1}{(3-x)^{2}}
integral of 1/(x^2+12x+61)	\int\:\frac{1}{x^{2}+12x+61}dx
limit as x approaches 6 of 2/(x-6)	\lim\:_{x\to\:6}(\frac{2}{x-6})
(3du)/(dt)=u^2	\frac{3du}{dt}=u^{2}
tangent of y=(x^3)/(x+3),(3, 9/2)	tangent\:y=\frac{x^{3}}{x+3},(3,\frac{9}{2})
integral of (2cos(x))/(sin^3(x))	\int\:\frac{2\cos(x)}{\sin^{3}(x)}dx
integral of 2x(x^2+5)^6	\int\:2x(x^{2}+5)^{6}dx
integral of 1/((x+y+z+1)^3)	\int\:\frac{1}{(x+y+z+1)^{3}}dz
limit as x approaches 0 of (2.7^x-1)/x	\lim\:_{x\to\:0}(\frac{2.7^{x}-1}{x})
derivative of 3x^2+4x-5	\frac{d}{dx}(3x^{2}+4x-5)
taylor e^x-1	taylor\:e^{x}-1
limit as x approaches 1 of (x-1)^2	\lim\:_{x\to\:1}((x-1)^{2})
(\partial)/(\partial x)(x^3+2xy-y^2)	\frac{\partial\:}{\partial\:x}(x^{3}+2xy-y^{2})
derivative of y= 3/(4x^5)	derivative\:y=\frac{3}{4x^{5}}
tangent of y=5+4x^2-2x^3,(2,5)	tangent\:y=5+4x^{2}-2x^{3},(2,5)
x^{''}+ax=0	x^{\prime\:\prime\:}+ax=0
16y^{''}+24y^'+9y=0	16y^{\prime\:\prime\:}+24y^{\prime\:}+9y=0

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