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Popular Calculus Problems

derivative of sin(2xcos(x))	\frac{d}{dx}(\sin(2x)\cos(x))
(\partial)/(\partial x)(tan(sqrt(x)))	\frac{\partial\:}{\partial\:x}(\tan(\sqrt{x}))
(d^4)/(dx^4)(3e^{x^2})	\frac{d^{4}}{dx^{4}}(3e^{x^{2}})
4y^{''}-4y^'+y=0	4y^{\prime\:\prime\:}-4y^{\prime\:}+y=0
sum from n=1 to infinity of ln(1/(n^2))	\sum\:_{n=1}^{\infty\:}\ln(\frac{1}{n^{2}})
derivative of 2x(3x^2-7^3)	\frac{d}{dx}(2x(3x^{2}-7)^{3})
limit as x approaches 3 of (x^2-1)/(x-3)	\lim\:_{x\to\:3}(\frac{x^{2}-1}{x-3})
integral of z/(z-1)	\int\:\frac{z}{z-1}dz
integral of 2/(x^2-x)	\int\:\frac{2}{x^{2}-x}dx
(dv)/(dt)	\frac{dv}{dt}
(x+y)^2dx+(2xy+x^2-3)dy=0	(x+y)^{2}dx+(2xy+x^{2}-3)dy=0
(\partial)/(\partial x)((e^x)^2)	\frac{\partial\:}{\partial\:x}((e^{x})^{2})
limit as x approaches c of-6+3(1/3)	\lim\:_{x\to\:c}(-6+3(\frac{1}{3}))
integral of x^3sqrt(x^2-6)	\int\:x^{3}\sqrt{x^{2}-6}dx
d/(dt)(5^t)	\frac{d}{dt}(5^{t})
limit as x approaches 1-of sech^2(x-1)	\lim\:_{x\to\:1-}(\sech^{2}(x-1))
(\partial)/(\partial y)(2xy^3+4)	\frac{\partial\:}{\partial\:y}(2xy^{3}+4)
integral of sqrt(12+4t^2)	\int\:\sqrt{12+4t^{2}}dt
y^{''}-4y^'-5y=0,y(1)=0,y^'(1)=9	y^{\prime\:\prime\:}-4y^{\prime\:}-5y=0,y(1)=0,y^{\prime\:}(1)=9
tangent of f(x)=sqrt(7-6x),\at x=1	tangent\:f(x)=\sqrt{7-6x},\at\:x=1
y^2(dy)/(dx)=y^3-x^3	y^{2}\frac{dy}{dx}=y^{3}-x^{3}
limit as x approaches-2 of sqrt(x^2+5)	\lim\:_{x\to\:-2}(\sqrt{x^{2}+5})
area f(x)=x^2,g(x)=x+2	area\:f(x)=x^{2},g(x)=x+2
(x^2+1)y^'+3x(y-1)=0,y(0)=9	(x^{2}+1)y^{\prime\:}+3x(y-1)=0,y(0)=9
derivative of f(x)=x^2+2x-3	derivative\:f(x)=x^{2}+2x-3
limit as x approaches pi/2 of f(x)	\lim\:_{x\to\:\frac{π}{2}}(f(x))
integral of 5^{3-2x}	\int\:5^{3-2x}dx
y^{''}+2y^'+y=x	y^{\prime\:\prime\:}+2y^{\prime\:}+y=x
derivative of (x+2^3-2)	\frac{d}{dx}((x+2)^{3}-2)
derivative of tan^3(4x)	\frac{d}{dx}(\tan^{3}(4x))
integral of 11sqrt(x)	\int\:11\sqrt{x}dx
derivative of sqrt(arctan(x))	\frac{d}{dx}(\sqrt{\arctan(x)})
integral from 1 to 6 of (x^2+8)/(7x-x^2)	\int\:_{1}^{6}\frac{x^{2}+8}{7x-x^{2}}dx
tangent of f(x)=-2x^3,(2,-16)	tangent\:f(x)=-2x^{3},(2,-16)
(dy)/(dx)=(x+y+7)^2	\frac{dy}{dx}=(x+y+7)^{2}
integral from-r to r of sqrt(r^2-x^2)	\int\:_{-r}^{r}\sqrt{r^{2}-x^{2}}dx
derivative of 8/(1+8x)	\frac{d}{dx}(\frac{8}{1+8x})
limit as x approaches-1 of sqrt(2x^2+3)	\lim\:_{x\to\:-1}(\sqrt{2x^{2}+3})
limit as x approaches-3 of \|x+1\|+3/x	\lim\:_{x\to\:-3}(\left\|x+1\right\|+\frac{3}{x})
y^{''}+y^'-2y=4sin(2x)	y^{\prime\:\prime\:}+y^{\prime\:}-2y=4\sin(2x)
integral of e^{-0.89x}	\int\:e^{-0.89x}dx
(\partial)/(\partial y)(-ycos(x))	\frac{\partial\:}{\partial\:y}(-y\cos(x))
inverse oflaplace (s+1)/((s+1)(s^2+2))	inverselaplace\:\frac{s+1}{(s+1)(s^{2}+2)}
area y=-x^2+2x+2,y=x-4	area\:y=-x^{2}+2x+2,y=x-4
integral of (2y)/1 ^2	\int\:\frac{d^{2}y}{1}dx^{2}
integral of (sin^2(x)+cos^2(x)-1)	\int\:(\sin^{2}(x)+\cos^{2}(x)-1)dx
integral of-(6x)/5	\int\:-\frac{6x}{5}dx
tangent of y=(x^3-25x)^{14}	tangent\:y=(x^{3}-25x)^{14}
derivative of f(x)=(8-x)^6	derivative\:f(x)=(8-x)^{6}
limit as x approaches 0+of (-1)/x	\lim\:_{x\to\:0+}(\frac{-1}{x})
inverse oflaplace (16s+5)/(s^2+9)	inverselaplace\:\frac{16s+5}{s^{2}+9}
derivative of (f(x))^2	derivative\:(f(x))^{2}
laplacetransform y=(2-7/5)e^{3t}+7/5 e^{-2t}	laplacetransform\:y=(2-\frac{7}{5})e^{3t}+\frac{7}{5}e^{-2t}
laplacetransform 3sin(3t)	laplacetransform\:3\sin(3t)
derivative of (x-2^3(6-x)^4)	\frac{d}{dx}((x-2)^{3}(6-x)^{4})
derivative of 2^xsin(x)	\frac{d}{dx}(2^{x}\sin(x))
integral of cos(b+ax)	\int\:\cos(b+ax)dx
2x^2yy^'+2xy^2+1=0	2x^{2}yy^{\prime\:}+2xy^{2}+1=0
integral of (4^x)	\int\:(4^{x})dx
derivative of 3ln(x+1)	\frac{d}{dx}(3\ln(x+1))
derivative of sqrt(35x)ln(13x)	\frac{d}{dx}(\sqrt{35x}\ln(13x))
(\partial)/(\partial x)(-3xy^2)	\frac{\partial\:}{\partial\:x}(-3xy^{2})
limit as x approaches 0-of 2/x-2/(\|x\|)	\lim\:_{x\to\:0-}(\frac{2}{x}-\frac{2}{\left\|x\right\|})
derivative of 6x^5-20x^4+20x^3-10x+4	\frac{d}{dx}(6x^{5}-20x^{4}+20x^{3}-10x+4)
integral from 0 to 1 of pi(2-1/2 x)^2	\int\:_{0}^{1}π(2-\frac{1}{2}x)^{2}dx
(\partial)/(\partial t)(4cos(t))	\frac{\partial\:}{\partial\:t}(4\cos(t))
limit as x approaches 0 of 1/x-1/x	\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{x})
tangent of y= 5/(x^2+1),(2,1)	tangent\:y=\frac{5}{x^{2}+1},(2,1)
integral of 7xcos(8x)	\int\:7x\cos(8x)dx
integral of xcos(4x)	\int\:x\cos(4x)dx
derivative of x^2+3x+9	derivative\:x^{2}+3x+9
sum from n=1 to infinity of (x^n)/(n+3)	\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{n+3}
inverse oflaplace 1/(2s^3)	inverselaplace\:\frac{1}{2s^{3}}
integral from 0 to 5 of 1/(x^{18/17)}	\int\:_{0}^{5}\frac{1}{x^{\frac{18}{17}}}dx
derivative of 2^{xy}	\frac{d}{dx}(2^{xy})
tangent of e^{-3x}	tangent\:e^{-3x}
derivative of sqrt(tan(\sqrt{x)})	\frac{d}{dx}(\sqrt{\tan(\sqrt{x})})
limit as x approaches-infinity of 1	\lim\:_{x\to\:-\infty\:}(1)
(dy)/(dt)=y(5-ty)	\frac{dy}{dt}=y(5-ty)
limit as x approaches 8 of ((sqrt(x)-2))/(x-8)	\lim\:_{x\to\:8}(\frac{(\sqrt{x}-2)}{x-8})
integral of \sqrt[8]{x}+1/(\sqrt[8]{x)}	\int\:\sqrt[8]{x}+\frac{1}{\sqrt[8]{x}}dx
limit as h approaches 0 of (f(h)(h+2)-11)/h	\lim\:_{h\to\:0}(\frac{f(h)(h+2)-11}{h})
derivative of (36x/((x^2+9)^2))	\frac{d}{dx}(\frac{36x}{(x^{2}+9)^{2}})
derivative of 1/5 cos(5x)	\frac{d}{dx}(\frac{1}{5}\cos(5x))
integral from 1200 to 1204 of 0.1	\int\:_{1200}^{1204}0.1dx
integral of 5x^{1/3}+2x^{-1/3}+11	\int\:5x^{\frac{1}{3}}+2x^{-\frac{1}{3}}+11dx
integral of (x+1)/(x^2-4x+8)	\int\:\frac{x+1}{x^{2}-4x+8}dx
integral from-1 to 2 of (2-y^2)-(-y)	\int\:_{-1}^{2}(2-y^{2})-(-y)dy
sum from n=0 to infinity of 10(1/3)^n	\sum\:_{n=0}^{\infty\:}10(\frac{1}{3})^{n}
derivative of ((x+5)/(x^2+2))^2	derivative\:(\frac{x+5}{x^{2}+2})^{2}
derivative of \sqrt[3]{8x^4+9x^3}	derivative\:\sqrt[3]{8x^{4}+9x^{3}}
(c_{2}sin(8t))^'	(c_{2}\sin(8t))^{\prime\:}
integral of-3x^5	\int\:-3x^{5}dx
integral of (x-2)(x+3)	\int\:(x-2)(x+3)dx
derivative of f(x)=x^{1/10}	derivative\:f(x)=x^{\frac{1}{10}}
limit as x approaches 0 of (1-4x)^{5/x}	\lim\:_{x\to\:0}((1-4x)^{\frac{5}{x}})
taylor (x/(2-x))^3	taylor\:(\frac{x}{2-x})^{3}
(xy-x^2-1)dx+(x^2+1)dy=c	(xy-x^{2}-1)dx+(x^{2}+1)dy=c
derivative of arccot(sqrt(x^2+1))	\frac{d}{dx}(\arccot(\sqrt{x^{2}+1}))
integral of e^{7x+2}	\int\:e^{7x+2}dx

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