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Popular Calculus Problems

inverse oflaplace 1/((s-1)^2)	inverselaplace\:\frac{1}{(s-1)^{2}}
integral from 0 to 1 of kx	\int\:_{0}^{1}kxdx
derivative of y=cos(x^2)	derivative\:y=\cos(x^{2})
derivative of (-5x-9/(2x+8))	\frac{d}{dx}(\frac{-5x-9}{2x+8})
taylor 2.5x^3-3x{2}	taylor\:2.5x^{3}-3x\left\{2\right\}
tangent of y=x^3-9x	tangent\:y=x^{3}-9x
integral of-1/x	\int\:-\frac{1}{x}dx
integral of 2x(x^2+3)^5	\int\:2x(x^{2}+3)^{5}dx
(\partial)/(\partial x)(sqrt(x^2+y^3))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+y^{3}})
derivative of (1-2ln(x)/(4x^3))	\frac{d}{dx}(\frac{1-2\ln(x)}{4x^{3}})
derivative of y-1/((x+3))	\frac{d}{dx}(y-\frac{1}{(x+3)})
derivative of (500)/(5t^2+10t+100)	derivative\:\frac{500}{5t^{2}+10t+100}
integral of (1/x)/(ln(x)sqrt(ln^2(x)-1))	\int\:\frac{\frac{1}{x}}{\ln(x)\sqrt{\ln^{2}(x)-1}}dx
(dy)/(dx)-7y=e^x	\frac{dy}{dx}-7y=e^{x}
integral of x/(x^2-2x+2)	\int\:\frac{x}{x^{2}-2x+2}dx
limit as x approaches 5+of (3x)/4+1	\lim\:_{x\to\:5+}(\frac{3x}{4}+1)
derivative of ln(x-a)	\frac{d}{dx}(\ln(x-a))
(\partial)/(\partial x)(((u-v))/(u+v))	\frac{\partial\:}{\partial\:x}(\frac{(u-v)}{u+v})
integral of sqrt(1+(x)^2)	\int\:\sqrt{1+(x)^{2}}dx
integral of (x+2)(x-6)	\int\:(x+2)(x-6)dx
9y^{''}-6y^'+15y=0	9y^{\prime\:\prime\:}-6y^{\prime\:}+15y=0
integral of sin(10x)cos(7x)	\int\:\sin(10x)\cos(7x)dx
integral of (20+0.6sqrt(x))	\int\:(20+0.6\sqrt{x})dx
integral of xe^{x^2}	\int\:xe^{x^{2}}dx
derivative of (x+1/(2x))	\frac{d}{dx}(\frac{x+1}{2x})
integral from 0 to pi/4 of sin(4t)	\int\:_{0}^{\frac{π}{4}}\sin(4t)dt
derivative of ln((x-2)/(x+2))	derivative\:\ln(\frac{x-2}{x+2})
integral of (4x^6+3x^4)/(x^3)	\int\:\frac{4x^{6}+3x^{4}}{x^{3}}dx
y'=0.0018y(2400-y)	y\prime\:=0.0018y(2400-y)
(\partial)/(\partial x)(x^3yz^2)	\frac{\partial\:}{\partial\:x}(x^{3}yz^{2})
derivative of ln\|ln(x)\|	derivative\:\ln\left\|\ln(x)\right\|
(dy)/(dt)+1/20 y= 3/2 ,y(0)=0	\frac{dy}{dt}+\frac{1}{20}y=\frac{3}{2},y(0)=0
d/(dt)(tcos(t)-sin(t))	\frac{d}{dt}(t\cos(t)-\sin(t))
(t^3)^'	(t^{3})^{\prime\:}
derivative of ((x^3-1/(x^3+1))^8)	\frac{d}{dx}((\frac{x^{3}-1}{x^{3}+1})^{8})
tangent of f(x)=1+sin(x),\at x=pi	tangent\:f(x)=1+\sin(x),\at\:x=π
derivative of f(x)=x^3-74x^2+40x+27490	derivative\:f(x)=x^{3}-74x^{2}+40x+27490
f(x)=sin^3(3x)	f(x)=\sin^{3}(3x)
f(t)=cos(2t)	f(t)=\cos(2t)
derivative of 2*cos(x)	\frac{d}{dx}(2\cdot\:\cos(x))
integral of (2x^4-8x^3)e^{-3x}	\int\:(2x^{4}-8x^{3})e^{-3x}dx
10y^{''}+1000y=80cos(8t)	10y^{\prime\:\prime\:}+1000y=80\cos(8t)
(d^3)/(dx^3)(2sin(2x))	\frac{d^{3}}{dx^{3}}(2\sin(2x))
integral of x^3ln(x^4)	\int\:x^{3}\ln(x^{4})dx
derivative of ln(x/(1+x))	\frac{d}{dx}(\ln(\frac{x}{1+x}))
derivative of 4xe^{-2x}cos(4pix+30)	\frac{d}{dx}(4xe^{-2x}\cos(4πx+30))
integral of 6x+1/(x^2)	\int\:6x+\frac{1}{x^{2}}dx
derivative of (x^2+2x-2/((x+1)^2))	\frac{d}{dx}(\frac{x^{2}+2x-2}{(x+1)^{2}})
limit as x approaches 1+of 2x-3	\lim\:_{x\to\:1+}(2x-3)
integral from ln(2) to ln(4) of e^{-x}	\int\:_{\ln(2)}^{\ln(4)}e^{-x}dx
derivative of (e^x/(sin(x)))	\frac{d}{dx}(\frac{e^{x}}{\sin(x)})
h(x)=log_{10}(2x^2+5x+2)	h(x)=\log_{10}(2x^{2}+5x+2)
(7+x)y^'+y=7+x	(7+x)y^{\prime\:}+y=7+x
derivative of sec^2(x)-tan^2(x)	derivative\:\sec^{2}(x)-\tan^{2}(x)
(\partial}{\partial x}((x^4)/(6y)+\frac{12y^4)/x)	\frac{\partial\:}{\partial\:x}(\frac{x^{4}}{6y}+\frac{12y^{4}}{x})
derivative of (xe^x/(x+e^x))	\frac{d}{dx}(\frac{xe^{x}}{x+e^{x}})
derivative of sin(x+1/(sqrt(x)))	\frac{d}{dx}(\sin(x)+\frac{1}{\sqrt{x}})
(\partial)/(\partial x)(-3sin(x))	\frac{\partial\:}{\partial\:x}(-3\sin(x))
sum from n=2 to infinity of 1/(n^n)	\sum\:_{n=2}^{\infty\:}\frac{1}{n^{n}}
limit as n approaches infinity of n^1	\lim\:_{n\to\:\infty\:}(n^{1})
(\partial)/(\partial x)(1/((x^2+y^2+1)))	\frac{\partial\:}{\partial\:x}(\frac{1}{(x^{2}+y^{2}+1)})
tangent of f(x)=x^2-5x+5,(4,1)	tangent\:f(x)=x^{2}-5x+5,(4,1)
integral of 1 (e^xcos(x))	\int\:\frac{d}{1}(e^{x}\cos(x))dx
derivative of 1/35 x^5+1/4 x^4+x+1	\frac{d}{dx}(\frac{1}{35}x^{5}+\frac{1}{4}x^{4}+x+1)
derivative of f(x)=8xsqrt(16+0.5x)	derivative\:f(x)=8x\sqrt{16+0.5x}
integral from 2 to 5 of x/3	\int\:_{2}^{5}\frac{x}{3}dx
sum from n=0 to infinity of (1+1/n)^n	\sum\:_{n=0}^{\infty\:}(1+\frac{1}{n})^{n}
derivative of 8cot((pix)/(16))	derivative\:8\cot(\frac{πx}{16})
derivative of \sqrt[3]{sec(5x})	\frac{d}{dx}(\sqrt[3]{\sec(5x)})
derivative of 7arctan(sqrt(x))	\frac{d}{dx}(7\arctan(\sqrt{x}))
limit as x approaches 1 of 4x-x^2	\lim\:_{x\to\:1}(4x-x^{2})
tangent of y=x^3-3x^2+2,(3,2)	tangent\:y=x^{3}-3x^{2}+2,(3,2)
y^{''}+36y=48sec(6t)	y^{\prime\:\prime\:}+36y=48\sec(6t)
(\partial)/(\partial x)((2xy-3)e^{-xy})	\frac{\partial\:}{\partial\:x}((2xy-3)e^{-xy})
integral of x^5e^{(x^6-4)}	\int\:x^{5}e^{(x^{6}-4)}dx
integral of (x^4)/2+cos(x)x	\int\:\frac{x^{4}}{2}+\cos(x)xdx
(\partial}{\partial x}(\frac{xy)/2)	\frac{\partial\:}{\partial\:x}(\frac{xy}{2})
tangent of f(x)=5x-4sqrt(x),(1,1)	tangent\:f(x)=5x-4\sqrt{x},(1,1)
sin(x)y^'+cos(x)y=0	\sin(x)y^{\prime\:}+\cos(x)y=0
inverse oflaplace (9s)/((s+9)^2)	inverselaplace\:\frac{9s}{(s+9)^{2}}
integral of (ln(x))x	\int\:(\ln(x))xdx
integral of (x^3)/(\sqrt[7]{x^2+7)}	\int\:\frac{x^{3}}{\sqrt[7]{x^{2}+7}}dx
integral of (5sin(2x))/(1+cos^4(x))	\int\:\frac{5\sin(2x)}{1+\cos^{4}(x)}dx
derivative of g(x)=(sqrt(x))/(4+x)	derivative\:g(x)=\frac{\sqrt{x}}{4+x}
derivative of 7e^{7x}	\frac{d}{dx}(7e^{7x})
integral of 16x	\int\:16xdx
laplacetransform 4e^t	laplacetransform\:4e^{t}
integral of 2pi	\int\:2πdx
sum from n=0 to infinity of n/(n^3+1)	\sum\:_{n=0}^{\infty\:}\frac{n}{n^{3}+1}
(\partial)/(\partial x)(\|xy\|^n)	\frac{\partial\:}{\partial\:x}(\left\|xy\right\|^{n})
integral of 8sin^5(x)	\int\:8\sin^{5}(x)dx
integral from 0 to r of sqrt(r^2-y^2)	\int\:_{0}^{r}\sqrt{r^{2}-y^{2}}dy
integral of ln(5^u)	\int\:\ln(5^{u})du
derivative of cos(nx)	\frac{d}{dx}(\cos(nx))
(dy)/(dx)=x^3y^3	\frac{dy}{dx}=x^{3}y^{3}
(\partial)/(\partial x)(xarcsin(y/x))	\frac{\partial\:}{\partial\:x}(x\arcsin(\frac{y}{x}))
derivative of (x^2+9)^2(x-9)	derivative\:(x^{2}+9)^{2}(x-9)
(sin(t)cos(t))^'	(\sin(t)\cos(t))^{\prime\:}
(d^5)/(dx^5)(x^{11/2})	\frac{d^{5}}{dx^{5}}(x^{\frac{11}{2}})
area x=8-y^2,x=y^2	area\:x=8-y^{2},x=y^{2}

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