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Popular Calculus Problems

area 2/x ,8x, 1/8 x	area\:\frac{2}{x},8x,\frac{1}{8}x
derivative of 3e^{-x}+e^{2x}	\frac{d}{dx}(3e^{-x}+e^{2x})
derivative of-5x^4+5x^3-x^2+x	derivative\:-5x^{4}+5x^{3}-x^{2}+x
integral from-7 to 7 of sqrt(1+(x)^2)	\int\:_{-7}^{7}\sqrt{1+(x)^{2}}dx
integral of tan^2(3t)	\int\:\tan^{2}(3t)dt
(\partial)/(\partial x)(x*a+b)	\frac{\partial\:}{\partial\:x}(x\cdot\:a+b)
tangent of y=(x-1)/(x-2)+1,(3,3)	tangent\:y=\frac{x-1}{x-2}+1,(3,3)
implicit ln(x^2+y)-xy^2=10	implicit\:\ln(x^{2}+y)-xy^{2}=10
derivative of (cos(x))/(1+a*sin(x))	derivative\:\frac{\cos(x)}{1+a\cdot\:\sin(x)}
integral of 14e^{-14x}	\int\:14e^{-14x}dx
integral of x^3-1/2 x^2+4	\int\:x^{3}-\frac{1}{2}x^{2}+4dx
tangent of f(x)=e^x(x^4+3),(0,3)	tangent\:f(x)=e^{x}(x^{4}+3),(0,3)
derivative of (x^2-10x+9/((x-5)^2))	\frac{d}{dx}(\frac{x^{2}-10x+9}{(x-5)^{2}})
derivative of f(x)= 4/(2-x)	derivative\:f(x)=\frac{4}{2-x}
derivative of-(36(x-1))/((x+3)^3)	derivative\:-\frac{36(x-1)}{(x+3)^{3}}
area 2x^2+5,-2,3	area\:2x^{2}+5,-2,3
integral of sin(3θ)	\int\:\sin(3θ)dθ
derivative of ((1-4t))/((6+t))	derivative\:\frac{(1-4t)}{(6+t)}
d/(dt)(6)	\frac{d}{dt}(6)
derivative of-5xe^{-x}	\frac{d}{dx}(-5xe^{-x})
integral of 2sin^2(pix)cos^5(pix)	\int\:2\sin^{2}(πx)\cos^{5}(πx)dx
slope of (-5,1),(8,-5)	slope\:(-5,1),(8,-5)
derivative of ln(2-7x)	derivative\:\ln(2-7x)
integral of 4x(x^2+25000)^{-2/3}	\int\:4x(x^{2}+25000)^{-\frac{2}{3}}dx
derivative of x^2-2ln(x)	\frac{d}{dx}(x^{2}-2\ln(x))
(\partial)/(\partial x)((1+x^{-1})^2)	\frac{\partial\:}{\partial\:x}((1+x^{-1})^{2})
integral of (x^2)/1	\int\:\frac{x^{2}}{1}dx
integral from 0 to 7 of \|x^2-6x+5\|	\int\:_{0}^{7}\left\|x^{2}-6x+5\right\|dx
integral of 2e^{2x}sin(2x)	\int\:2e^{2x}\sin(2x)dx
derivative of (2x^2+3^2)	\frac{d}{dx}((2x^{2}+3)^{2})
inverse oflaplace 2/(s+1)+8a*s/(s^2+9)	inverselaplace\:\frac{2}{s+1}+8a\cdot\:\frac{s}{s^{2}+9}
derivative of (1-2x^5(3x-2)^6)	\frac{d}{dx}((1-2x)^{5}(3x-2)^{6})
laplacetransform 2e^{2t}+8te^{2t}+4t^2e^{2t}	laplacetransform\:2e^{2t}+8te^{2t}+4t^{2}e^{2t}
derivative of (ln(x)/(2x))	\frac{d}{dx}(\frac{\ln(x)}{2x})
derivative of (6-7x/(2+x))	\frac{d}{dx}(\frac{6-7x}{2+x})
limit as x approaches 6-of (x^6)/(x-6)	\lim\:_{x\to\:6-}(\frac{x^{6}}{x-6})
area 5x,2x^2	area\:5x,2x^{2}
integral of x^{7/2}ln(x)	\int\:x^{\frac{7}{2}}\ln(x)dx
integral of e^{-x}*(-x)	\int\:e^{-x}\cdot\:(-x)dx
(\partial)/(\partial x)(2x^4y+16y^3)	\frac{\partial\:}{\partial\:x}(2x^{4}y+16y^{3})
derivative of y= 1/(ln(x))	derivative\:y=\frac{1}{\ln(x)}
integral of 51sec^4(x)	\int\:51\sec^{4}(x)dx
integral of (2x)/((x-1)^5)	\int\:\frac{2x}{(x-1)^{5}}dx
derivative of 3/(1-x)	\frac{d}{dx}(\frac{3}{1-x})
f(t)=ln(t)	f(t)=\ln(t)
integral of 2^{sin(x)}cos(x)	\int\:2^{\sin(x)}\cos(x)dx
0.145(dv)/(dt)=(0.1459.81)-(0.043*v)	0.145\cdot\:\frac{dv}{dt}=(0.145\cdot\:9.81)-(0.043\cdot\:v)
limit as (x,y) approaches (0,0) of \|x+y\|	\lim\:_{(x,y)\to\:(0,0)}(\left\|x+y\right\|)
integral of (2e^x+e^{2x})/(e^x)	\int\:\frac{2e^{x}+e^{2x}}{e^{x}}dx
limit as x approaches+2 of (5x)/(x-2)	\lim\:_{x\to\:+2}(\frac{5x}{x-2})
integral of-(12)/y	\int\:-\frac{12}{y}dy
(\partial)/(\partial x)(-3xysin(z))	\frac{\partial\:}{\partial\:x}(-3xy\sin(z))
derivative of 1/9 ln(-ln(x)+5)	\frac{d}{dx}(\frac{1}{9}\ln(-\ln(x))+5)
x(dy)/(dx)+3y=2x^5	x\frac{dy}{dx}+3y=2x^{5}
integral of (3x+6)/(x^2+2x+2)	\int\:\frac{3x+6}{x^{2}+2x+2}dx
integral from 0 to 4 of sqrt(x)+3x	\int\:_{0}^{4}\sqrt{x}+3xdx
integral of (x^6-x^3+64)/(x^4+8x^2)	\int\:\frac{x^{6}-x^{3}+64}{x^{4}+8x^{2}}dx
derivative of 1-ln(1-x)	\frac{d}{dx}(1-\ln(1-x))
integral of 1/(8y^2)	\int\:\frac{1}{8y^{2}}dy
derivative of 6xy-12	\frac{d}{dx}(6xy-12)
integral of 1/(2x-3)	\int\:\frac{1}{2x-3}dx
derivative of-arctan(x+2arccot(x)-ln(x))	\frac{d}{dx}(-\arctan(x)+2\arccot(x)-\ln(x))
integral of 6/(xln(2x))	\int\:\frac{6}{x\ln(2x)}dx
(\partial)/(\partial x)(arcsin(y/x))	\frac{\partial\:}{\partial\:x}(\arcsin(\frac{y}{x}))
derivative of (3-e^{-x}^2)	\frac{d}{dx}((3-e^{-x})^{2})
derivative of 5pir^2	derivative\:5πr^{2}
sum from n=1 to infinity of 5/(2^n+1)	\sum\:_{n=1}^{\infty\:}\frac{5}{2^{n}+1}
(\partial)/(\partial x)(((xy))/(x+y))	\frac{\partial\:}{\partial\:x}(\frac{(xy)}{x+y})
integral from-infinity to-1 of e^{-24t}	\int\:_{-\infty\:}^{-1}e^{-24t}dt
integral of 15sqrt(x)	\int\:15\sqrt{x}dx
integral from 0 to 1 of 1/(x^{-1)}	\int\:_{0}^{1}\frac{1}{x^{-1}}dx
integral of (5/x)	\int\:(\frac{5}{x})dx
derivative of sin(7x)+cos(2x)	derivative\:\sin(7x)+\cos(2x)
integral of 8sin^3(t)cos(t)	\int\:8\sin^{3}(t)\cos(t)dt
derivative of y=cos^2(t)	derivative\:y=\cos^{2}(t)
integral of (3x)/(x^2+2)	\int\:\frac{3x}{x^{2}+2}dx
derivative of f(x)=(3x^3)^{0.5}	derivative\:f(x)=(3x^{3})^{0.5}
(\partial)/(\partial y)(xy^3-x^2y)	\frac{\partial\:}{\partial\:y}(xy^{3}-x^{2}y)
2sqrt(x)y^'=cos^2(y)	2\sqrt{x}y^{\prime\:}=\cos^{2}(y)
derivative of 9x^8e^x+x^9e^x	derivative\:9x^{8}e^{x}+x^{9}e^{x}
integral of 16e^{-4x}sin(4x)	\int\:16e^{-4x}\sin(4x)dx
derivative of-6sqrt(s)	derivative\:-6\sqrt{s}
limit as x approaches-3 of 1/(x^2-9)	\lim\:_{x\to\:-3}(\frac{1}{x^{2}-9})
taylor 1/(2+x),0	taylor\:\frac{1}{2+x},0
y^{''}+y=5sin(x)	y^{\prime\:\prime\:}+y=5\sin(x)
(dy)/(dx)x-xe^x+y=0	\frac{dy}{dx}x-xe^{x}+y=0
(dy)/(dx)=x+1	\frac{dy}{dx}=x+1
y^'=(3y)/x	y^{\prime\:}=\frac{3y}{x}
inverse oflaplace ((10s+8))/(s^3)	inverselaplace\:\frac{(10s+8)}{s^{3}}
limit as x approaches 0 of c/x	\lim\:_{x\to\:0}(\frac{c}{x})
derivative of x^8(x-1)^7	derivative\:x^{8}(x-1)^{7}
integral of tcsc(t)cot(t)	\int\:t\csc(t)\cot(t)dt
derivative of 5/(cos^2(x))	\frac{d}{dx}(\frac{5}{\cos^{2}(x)})
limit as x approaches 2-of 7/(x-2)	\lim\:_{x\to\:2-}(\frac{7}{x-2})
derivative of f(x)=sqrt(3x^2+3x+3)	derivative\:f(x)=\sqrt{3x^{2}+3x+3}
integral of e^x(1+e^{1-x})	\int\:e^{x}(1+e^{1-x})dx
xy^'+6x^2y=xe^{5x}	xy^{\prime\:}+6x^{2}y=xe^{5x}
integral of sec(x)tan^2(x)	\int\:\sec(x)\tan^{2}(x)dx
integral of ((x-2))/((x^2-4x+3)^3)	\int\:\frac{(x-2)}{(x^{2}-4x+3)^{3}}dx
integral of x/(x^2+4x-5)	\int\:\frac{x}{x^{2}+4x-5}dx

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