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Popular Calculus Problems

limit as t approaches 0 of 2t	\lim\:_{t\to\:0}(2t)
inverse oflaplace 1/(s(s-4.58)(s+2.2))	inverselaplace\:\frac{1}{s(s-4.58)(s+2.2)}
derivative of 5x^2(x+47)	\frac{d}{dx}(5x^{2}(x+47))
limit as x approaches 0 of x/(x^2)	\lim\:_{x\to\:0}(\frac{x}{x^{2}})
sum from n=0 to infinity of 8(1/5)^n	\sum\:_{n=0}^{\infty\:}8(\frac{1}{5})^{n}
tangent of f(x)=-sin(-8x-3)+5	tangent\:f(x)=-\sin(-8x-3)+5
integral from 0 to 1 of 6x5^x	\int\:_{0}^{1}6x5^{x}dx
limit as x approaches a of 1	\lim\:_{x\to\:a}(1)
tangent of 2x^3(2.16)	tangent\:2x^{3}(2.16)
derivative of 120	\frac{d}{dx}(120)
limit as x approaches-0 of 1/x	\lim\:_{x\to\:-0}(\frac{1}{x})
area y=x,y=x^2+1,x=-1,x=2	area\:y=x,y=x^{2}+1,x=-1,x=2
y^'= 1/(y^2)	y^{\prime\:}=\frac{1}{y^{2}}
tangent of y=cos(x),\at x=2pi	tangent\:y=\cos(x),\at\:x=2π
derivative of-8sin(8x)	\frac{d}{dx}(-8\sin(8x))
derivative of (5x^3+8x-3^{3/2})	\frac{d}{dx}((5x^{3}+8x-3)^{\frac{3}{2}})
derivative of sqrt(2^x)	\frac{d}{dx}(\sqrt{2^{x}})
3(d^2y)/(dx^2)+2(dy)/(dx)+y=0	3\frac{d^{2}y}{dx^{2}}+2\frac{dy}{dx}+y=0
tangent of 5x-2sqrt(x)	tangent\:5x-2\sqrt{x}
y^'+3y=8,y(0)=0	y^{\prime\:}+3y=8,y(0)=0
derivative of 1/(-3+(2x+1)^2)	derivative\:\frac{1}{-3+(2x+1)^{2}}
integral of (5x+8)/(x^2+4x+4)	\int\:\frac{5x+8}{x^{2}+4x+4}dx
limit as x approaches infinity of (1+1/(2x))^{3x}	\lim\:_{x\to\:\infty\:}((1+\frac{1}{2x})^{3x})
integral from 2 to 6 of t^3ln(4t)	\int\:_{2}^{6}t^{3}\ln(4t)dt
y^'=5ysin(4x),y(pi/8)=3	y^{\prime\:}=5y\sin(4x),y(\frac{π}{8})=3
sum from n=1 to infinity of 1/(pi^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{π^{n}}
limit as x approaches 0 of x(1/(2x))	\lim\:_{x\to\:0}(x(\frac{1}{2x}))
y^{''}+2y^'-63y=0	y^{\prime\:\prime\:}+2y^{\prime\:}-63y=0
taylor (x-4)^n,4	taylor\:(x-4)^{n},4
integral of x/(sqrt(x^2+25))	\int\:\frac{x}{\sqrt{x^{2}+25}}dx
area y=cos(x),y=1-cos(x),0<= x<= pi	area\:y=\cos(x),y=1-\cos(x),0\le\:x\le\:π
integral of (24)/(1+25r^2)	\int\:\frac{24}{1+25r^{2}}dr
laplacetransform 2e^{3t}	laplacetransform\:2e^{3t}
inverse oflaplace 8(1/(s^5))	inverselaplace\:8(\frac{1}{s^{5}})
area y=x^3+2x,y=3x	area\:y=x^{3}+2x,y=3x
integral of e^{-x}sin(x)+1	\int\:e^{-x}\sin(x)+1dx
integral of 1/((x+2)(x-5))	\int\:\frac{1}{(x+2)(x-5)}dx
maclaurin (1+x)^{(-3)/2}	maclaurin\:(1+x)^{\frac{-3}{2}}
sum from n=1 to infinity of (2n)/(3n+1)	\sum\:_{n=1}^{\infty\:}\frac{2n}{3n+1}
2x^2(dy)/(dx)=3xy+y^2	2x^{2}\frac{dy}{dx}=3xy+y^{2}
d/(dt)(cos(t)-tsin(t))	\frac{d}{dt}(\cos(t)-t\sin(t))
derivative of \sqrt[3]{x^3-2x^2+8}	\frac{d}{dx}(\sqrt[3]{x^{3}-2x^{2}+8})
derivative of cos(sqrt(sin(tan(3x))))	derivative\:\cos(\sqrt{\sin(\tan(3x))})
inverse oflaplace 2/(5(s+1)^2-80)	inverselaplace\:\frac{2}{5(s+1)^{2}-80}
limit as x approaches 2 of (1-x^2)/(1-x)	\lim\:_{x\to\:2}(\frac{1-x^{2}}{1-x})
limit as x approaches-3+of xsqrt(x+3)	\lim\:_{x\to\:-3+}(x\sqrt{x+3})
area y=\|x\|,y=x^2-2	area\:y=\left\|x\right\|,y=x^{2}-2
limit as x approaches 0 of (ex-1)cot(2x)	\lim\:_{x\to\:0}((ex-1)\cot(2x))
derivative of-sin(4x*4)	\frac{d}{dx}(-\sin(4x)\cdot\:4)
integral of (x+17)/(x^2+16x+68)	\int\:\frac{x+17}{x^{2}+16x+68}dx
integral of ((4x+13))/((x^2+3x-10))	\int\:\frac{(4x+13)}{(x^{2}+3x-10)}dx
integral of t^3e^{-t^2}	\int\:t^{3}e^{-t^{2}}dt
derivative of 5tan^2(7x)	derivative\:5\tan^{2}(7x)
integral of (5x+3)/(x^3-2x^2-3x)	\int\:\frac{5x+3}{x^{3}-2x^{2}-3x}dx
yy^'=x(y-1)	yy^{\prime\:}=x(y-1)
tangent of 6x^2,\at x=10	tangent\:6x^{2},\at\:x=10
derivative of 22cos(t)	derivative\:22\cos(t)
integral of sqrt(x^2-4x+2)	\int\:\sqrt{x^{2}-4x+2}dx
integral of sqrt(3/x)	\int\:\sqrt{\frac{3}{x}}dx
integral of sin(θ)*cos(θ)	\int\:\sin(θ)\cdot\:\cos(θ)dθ
integral of 2x-2	\int\:2x-2dx
integral of 7/(x^6)	\int\:\frac{7}{x^{6}}dx
derivative of x^2*e^x	derivative\:x^{2}\cdot\:e^{x}
limit as x approaches 2+of (9x)/(x-2)	\lim\:_{x\to\:2+}(\frac{9x}{x-2})
integral of ((ln(2x))/((x+1)^3))	\int\:(\frac{\ln(2x)}{(x+1)^{3}})dx
derivative of e^x-x^2	\frac{d}{dx}(e^{x}-x^{2})
integral of 1/(x+xln^2(x))	\int\:\frac{1}{x+x\ln^{2}(x)}dx
(dx)/(dt)+4t^5x^7+x/t =0	\frac{dx}{dt}+4t^{5}x^{7}+\frac{x}{t}=0
y^{''}-2/(x^2)y=0,y(-1)=-1,y^'(-1)=-4	y^{\prime\:\prime\:}-\frac{2}{x^{2}}y=0,y(-1)=-1,y^{\prime\:}(-1)=-4
integral of (9t^2+1/(sqrt(t^3)))	\int\:(9t^{2}+\frac{1}{\sqrt{t^{3}}})dt
y^'=e^{3x}-y	y^{\prime\:}=e^{3x}-y
integral of 3tan^3(x)	\int\:3\tan^{3}(x)dx
sum from n=0 to infinity of (7^n)/4	\sum\:_{n=0}^{\infty\:}\frac{7^{n}}{4}
x^{''}+2x^'+2x=0	x^{\prime\:\prime\:}+2x^{\prime\:}+2x=0
(d^2)/(dx^2)(-sin(3x))	\frac{d^{2}}{dx^{2}}(-\sin(3x))
integral of x+6-x^2	\int\:x+6-x^{2}dx
derivative of-(12/(x^4))	\frac{d}{dx}(-\frac{12}{x^{4}})
integral of 1/((x+4)sqrt(x^2+8x+15))	\int\:\frac{1}{(x+4)\sqrt{x^{2}+8x+15}}dx
tangent of y=2x^2,(-1,2)	tangent\:y=2x^{2},(-1,2)
integral of x^2e^{-(2x)/a}	\int\:x^{2}e^{-\frac{2x}{a}}dx
limit as x approaches 0 of x*cos(1/x)	\lim\:_{x\to\:0}(x\cdot\:\cos(\frac{1}{x}))
tangent of 3x^2-5x+2	tangent\:3x^{2}-5x+2
limit as x approaches-9-of 1/((x+9)^2)	\lim\:_{x\to\:-9-}(\frac{1}{(x+9)^{2}})
derivative of (9x+3e^{2x^2+3})	\frac{d}{dx}((9x+3)e^{2x^{2}+3})
(y-y/(x^2)e^{y/x})dx+(x+1/x e^{y/x})dy=0	(y-\frac{y}{x^{2}}e^{\frac{y}{x}})dx+(x+\frac{1}{x}e^{\frac{y}{x}})dy=0
derivative of (x^2+5x-1/(x^2))	\frac{d}{dx}(\frac{x^{2}+5x-1}{x^{2}})
derivative of-3+12x-3x^2	derivative\:-3+12x-3x^{2}
limit as x approaches-1 of 3x^3	\lim\:_{x\to\:-1}(3x^{3})
integral of sec^3(u)	\int\:\sec^{3}(u)du
integral of 1/(sqrt((16+x^2)^3))	\int\:\frac{1}{\sqrt{(16+x^{2})^{3}}}dx
slope ofintercept-6x=10-y-36x=48-6y	slopeintercept\:-6x=10-y-36x=48-6y
integral of 4cos^2(x)tan^3(x)	\int\:4\cos^{2}(x)\tan^{3}(x)dx
(\partial)/(\partial x)((x+y)*e^y)	\frac{\partial\:}{\partial\:x}((x+y)\cdot\:e^{y})
y^{''}-6y^'+9y=e^{3x}ln(x)	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=e^{3x}\ln(x)
derivative of sqrt(1-6x)	derivative\:\sqrt{1-6x}
area y=3sqrt(x),y=(3x)/4	area\:y=3\sqrt{x},y=\frac{3x}{4}
derivative of arcsec(3x^2+1)	\frac{d}{dx}(\arcsec(3x^{2}+1))
limit as x approaches infinity of nc^n	\lim\:_{x\to\:\infty\:}(nc^{n})
limit as x approaches 0 of (3x)/(x+5)	\lim\:_{x\to\:0}(\frac{3x}{x+5})
y^'+y=e^{6t},y(0)=-1	y^{\prime\:}+y=e^{6t},y(0)=-1

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