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Popular Calculus Problems

(\partial)/(\partial x)(y-2x-2)	\frac{\partial\:}{\partial\:x}(y-2x-2)
integral of 2/(2t-1)	\int\:\frac{2}{2t-1}dt
integral of (2+ln(x))/x	\int\:\frac{2+\ln(x)}{x}dx
derivative of ln(1+2/x)	\frac{d}{dx}(\ln(1+\frac{2}{x}))
integral of 16csc(8x)sec(8x)	\int\:16\csc(8x)\sec(8x)dx
area x^2+2x+1,-1,7	area\:x^{2}+2x+1,-1,7
area y=8x,y=x^2-9	area\:y=8x,y=x^{2}-9
integral of (3+t+t^2)/(sqrt(t))	\int\:\frac{3+t+t^{2}}{\sqrt{t}}dt
integral from 5 to 9 of (x-4)/(x^2)	\int\:_{5}^{9}\frac{x-4}{x^{2}}dx
derivative of 7sqrt(x)+5	\frac{d}{dx}(7\sqrt{x}+5)
integral from 0 to 1 of (5t^4)/(1+t^5)	\int\:_{0}^{1}\frac{5t^{4}}{1+t^{5}}dt
integral of 1/(y(y+2))	\int\:\frac{1}{y(y+2)}dy
derivative of-2sin(x)	derivative\:-2\sin(x)
integral of 1/(x^2sqrt(1+x^2))	\int\:\frac{1}{x^{2}\sqrt{1+x^{2}}}dx
integral of (8x)/(2x^2+1)	\int\:\frac{8x}{2x^{2}+1}dx
derivative of y=(x+1)^3	derivative\:y=(x+1)^{3}
integral of x/(sqrt(x^2-2))	\int\:\frac{x}{\sqrt{x^{2}-2}}dx
integral of (x+1)/(sqrt(x))	\int\:\frac{x+1}{\sqrt{x}}dx
integral of 1/(x*sqrt(x^2+1))	\int\:\frac{1}{x\cdot\:\sqrt{x^{2}+1}}dx
integral from 1 to 5 of (x+1)sqrt(2x-1)	\int\:_{1}^{5}(x+1)\sqrt{2x-1}dx
integral of 4/(2x+3)	\int\:\frac{4}{2x+3}dx
derivative of (t-sqrt(t))/(t^{1/3)}	derivative\:\frac{t-\sqrt{t}}{t^{\frac{1}{3}}}
(\partial)/(\partial y)(4y^3)	\frac{\partial\:}{\partial\:y}(4y^{3})
integral of xarcsin(2)x^2	\int\:x\arcsin(2)x^{2}dx
(dy)/(dx)=y^{2/3}	\frac{dy}{dx}=y^{\frac{2}{3}}
derivative of 5tsin(pit)	derivative\:5t\sin(πt)
area y=e^{2x},y=e^{3x},x=1	area\:y=e^{2x},y=e^{3x},x=1
tangent of f(x)=(2x)/(x^2-7),\at x=3	tangent\:f(x)=\frac{2x}{x^{2}-7},\at\:x=3
integral of (sin(3x))/(3cos(3x))	\int\:\frac{\sin(3x)}{3\cos(3x)}dx
integral of x^2e^{15x}	\int\:x^{2}e^{15x}dx
integral of (1+3t)t^2	\int\:(1+3t)t^{2}dt
limit as x approaches infinity of xe^{-x}	\lim\:_{x\to\:\infty\:}(xe^{-x})
derivative of tan(0)	\frac{d}{dx}(\tan(0))
(\partial)/(\partial x)(y^3)	\frac{\partial\:}{\partial\:x}(y^{3})
simplify in(sin(x))	simplify\:in(\sin(x))
derivative of 1/(csc^2(x))	\frac{d}{dx}(\frac{1}{\csc^{2}(x)})
(dy}{dx}=-\frac{5x)/y	\frac{dy}{dx}=-\frac{5x}{y}
derivative of e^{tan(2x+1})	\frac{d}{dx}(e^{\tan(2x+1)})
limit as x approaches 5-of \|x-5\|	\lim\:_{x\to\:5-}(\left\|x-5\right\|)
integral of-cos(x)+sin(x)+2	\int\:-\cos(x)+\sin(x)+2dx
derivative of sqrt(-5x+5)	\frac{d}{dx}(\sqrt{-5x+5})
(\partial)/(\partial x)((x^2-1)/(x+1))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}-1}{x+1})
y^{''}+2y^'+y=(-18.5e^{-t})/(t^2+1)	y^{\prime\:\prime\:}+2y^{\prime\:}+y=\frac{-18.5e^{-t}}{t^{2}+1}
integral of cos(3x)sin(3x)	\int\:\cos(3x)\sin(3x)dx
(\partial)/(\partial x)(7+ln(xy-9))	\frac{\partial\:}{\partial\:x}(7+\ln(xy-9))
d/(dy)(e^xcos(y))	\frac{d}{dy}(e^{x}\cos(y))
(\partial)/(\partial x)((26)/((2+x^2+y^2)))	\frac{\partial\:}{\partial\:x}(\frac{26}{(2+x^{2}+y^{2})})
integral of e^x*7x	\int\:e^{x}\cdot\:7xdx
(u^2+u)dx+u^2(xdu+udx)=0	(u^{2}+u)dx+u^{2}(xdu+udx)=0
limit as x approaches 4 of e^x+4x	\lim\:_{x\to\:4}(e^{x}+4x)
integral of 3sqrt(2x)	\int\:3\sqrt{2x}dx
(\partial)/(\partial x)(7xsin(5x^2y))	\frac{\partial\:}{\partial\:x}(7x\sin(5x^{2}y))
area x^2=4y,3x-4y+4=0	area\:x^{2}=4y,3x-4y+4=0
y^'+y=e^{-t}sin(t),y(0)=1	y^{\prime\:}+y=e^{-t}\sin(t),y(0)=1
y^'=sqrt(y)(1-sqrt(y))	y^{\prime\:}=\sqrt{y}(1-\sqrt{y})
limit as x approaches-4 of 8x^2+1	\lim\:_{x\to\:-4}(8x^{2}+1)
taylor-2sin(4x)	taylor\:-2\sin(4x)
derivative of y=ln(x^8)	derivative\:y=\ln(x^{8})
(dy)/(dx)=x^5(y-3),y(0)=5	\frac{dy}{dx}=x^{5}(y-3),y(0)=5
integral of (x+1)(x+2)^6	\int\:(x+1)(x+2)^{6}dx
integral of 5x^4-4x^5	\int\:5x^{4}-4x^{5}dx
derivative of 35+35sin((-2pit-pi)/2)	derivative\:35+35\sin(\frac{-2πt-π}{2})
derivative of (16/((2x+1)^3))	\frac{d}{dx}(\frac{16}{(2x+1)^{3}})
(\partial)/(\partial x)(4x-4x^3)	\frac{\partial\:}{\partial\:x}(4x-4x^{3})
integral of (1/((x-1)^2))	\int\:(\frac{1}{(x-1)^{2}})dx
limit as h approaches 0 of (((4+h)-4))/h	\lim\:_{h\to\:0}(\frac{((4+h)-4)}{h})
derivative of axe^{4x}	\frac{d}{dx}(axe^{4x})
integral of (x^2)/((x-1)(x+1))	\int\:\frac{x^{2}}{(x-1)(x+1)}dx
integral of 12xzcos(xz^2)	\int\:12xz\cos(xz^{2})dz
limit as x approaches-0 of x^2	\lim\:_{x\to\:-0}(x^{2})
integral of e^x(x^2-2x-1)	\int\:e^{x}(x^{2}-2x-1)dx
(\partial)/(\partial x)(xln(2y-x))	\frac{\partial\:}{\partial\:x}(x\ln(2y-x))
limit as x approaches 0 of (6x-x^2)/x	\lim\:_{x\to\:0}(\frac{6x-x^{2}}{x})
limit as t approaches 1 of (t^2-1)/(1-1)	\lim\:_{t\to\:1}(\frac{t^{2}-1}{1-1})
derivative of (x+2^{arctan(x)})	\frac{d}{dx}((x+2)^{\arctan(x)})
(\partial)/(\partial y)((2x+3)/(4y+1))	\frac{\partial\:}{\partial\:y}(\frac{2x+3}{4y+1})
integral of sqrt(x)e^x	\int\:\sqrt{x}e^{x}dx
y^{''}-(y^')/x =3x	y^{\prime\:\prime\:}-\frac{y^{\prime\:}}{x}=3x
derivative of (x^5)/5	derivative\:\frac{x^{5}}{5}
y^'+2y=xe^{-2x}	y^{\prime\:}+2y=xe^{-2x}
derivative of (4x-2)^3(x^2+1)^2	derivative\:(4x-2)^{3}(x^{2}+1)^{2}
derivative of f(x)=(45)/(0.01x^2+1)	derivative\:f(x)=\frac{45}{0.01x^{2}+1}
laplacetransform cos^2(5t)	laplacetransform\:\cos^{2}(5t)
x^{''''}+8x^{''}+16x=0	x^{\prime\:\prime\:\prime\:\prime\:}+8x^{\prime\:\prime\:}+16x=0
25y^{''}+9y=0	25y^{\prime\:\prime\:}+9y=0
derivative of 1/((x+1)^2)	derivative\:\frac{1}{(x+1)^{2}}
(dy}{dx}=\frac{(x-2))/x	\frac{dy}{dx}=\frac{(x-2)}{x}
derivative of (2x^2+x+1)^{-3}	derivative\:(2x^{2}+x+1)^{-3}
(dy)/(dt)=((2y^4+t^4))/(ty^3)	\frac{dy}{dt}=\frac{(2y^{4}+t^{4})}{ty^{3}}
(dy)/(dt)+20 6/5-6/5 e^{-20t}=24	\frac{dy}{dt}+20\frac{6}{5}-\frac{6}{5}e^{-20t}=24
integral of (tan^2(x))/(sec(x))	\int\:\frac{\tan^{2}(x)}{\sec(x)}dx
limit as x approaches 0 of (e^{9x}-1)/x	\lim\:_{x\to\:0}(\frac{e^{9x}-1}{x})
(dy)/(dx)+3/x y=2x+5	\frac{dy}{dx}+\frac{3}{x}y=2x+5
inverse oflaplace x/((x+2)(x^2+4))	inverselaplace\:\frac{x}{(x+2)(x^{2}+4)}
integral of (ln(x))/(x^5)	\int\:\frac{\ln(x)}{x^{5}}dx
integral from 0 to 4 of x^2(4-x)^3	\int\:_{0}^{4}x^{2}(4-x)^{3}dx
limit as x approaches 1 of 1/(x(1-x)^2)	\lim\:_{x\to\:1}(\frac{1}{x(1-x)^{2}})
derivative of 10(20x-x^{3/2})	\frac{d}{dx}(10(20x-x^{\frac{3}{2}}))
limit as x approaches 1 of x/(x^2+7)	\lim\:_{x\to\:1}(\frac{x}{x^{2}+7})
y^{''}+6y^'+10y=0	y^{\prime\:\prime\:}+6y^{\prime\:}+10y=0

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