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Popular Calculus Problems

taylor ((1+x))/(1-x)	taylor\:\frac{(1+x)}{1-x}
derivative of 3/4 x	\frac{d}{dx}(\frac{3}{4}x)
(\partial)/(\partial y)(x/z+y/z)	\frac{\partial\:}{\partial\:y}(\frac{x}{z}+\frac{y}{z})
inverse oflaplace s/((s+2))	inverselaplace\:\frac{s}{(s+2)}
y^'= y/x ,y(2)=2	y^{\prime\:}=\frac{y}{x},y(2)=2
integral of ((-3x^3+\sqrt[5]{x}))/(5x)	\int\:\frac{(-3x^{3}+\sqrt[5]{x})}{5x}dx
derivative of e^{-\|x\|}	\frac{d}{dx}(e^{-\left\|x\right\|})
limit as x approaches-2 of (x+2)/(2x+4)	\lim\:_{x\to\:-2}(\frac{x+2}{2x+4})
integral of 1/((x^2-1)^{3/2)}	\int\:\frac{1}{(x^{2}-1)^{\frac{3}{2}}}dx
area y=4x^2-1,y=1-4x^2	area\:y=4x^{2}-1,y=1-4x^{2}
y'=y(2-y)	y\prime\:=y(2-y)
limit as x approaches 0 of 2x-x^2	\lim\:_{x\to\:0}(2x-x^{2})
(\partial)/(\partial s)(s^2t)	\frac{\partial\:}{\partial\:s}(s^{2}t)
limit as x approaches-1 of arcsin(x)	\lim\:_{x\to\:-1}(\arcsin(x))
f(x)=5x(sin(x)+cos(x))	f(x)=5x(\sin(x)+\cos(x))
integral of 2sin^2(x)cos^2(x)	\int\:2\sin^{2}(x)\cos^{2}(x)dx
((x+5)e^{1/x})^'	((x+5)e^{\frac{1}{x}})^{\prime\:}
derivative of y=6x(2x+1)^2+(2x+1)^3	derivative\:y=6x(2x+1)^{2}+(2x+1)^{3}
y^{''}-10y^'+29y=0	y^{\prime\:\prime\:}-10y^{\prime\:}+29y=0
derivative of 1/x+3/(x^2+2/(x^3))	\frac{d}{dx}(\frac{1}{x}+\frac{3}{x^{2}}+\frac{2}{x^{3}})
limit as x approaches infinity of cods	\lim\:_{x\to\:\infty\:}(cods)
integral from 1 to e of x(ln(x))^2	\int\:_{1}^{e}x(\ln(x))^{2}dx
derivative of sqrt(cos(e^{x^4sin(x))})	\frac{d}{dx}(\sqrt{\cos(e^{x^{4}\sin(x)})})
integral of (x^6-3x)/(x^4)	\int\:\frac{x^{6}-3x}{x^{4}}dx
simplify (y^4)/8+1/(4y^2)	simplify\:\frac{y^{4}}{8}+\frac{1}{4y^{2}}
derivative of-(6x/(1-3x^2))	\frac{d}{dx}(-\frac{6x}{1-3x^{2}})
integral of (1-cos^2(x))	\int\:(1-\cos^{2}(x))dx
integral of sin(2y)	\int\:\sin(2y)dy
limit as x approaches 2 of x+1/(x-2)	\lim\:_{x\to\:2}(x+\frac{1}{x-2})
tangent of y=4^{x/(ln(2))},\at x=ln(16)	tangent\:y=4^{\frac{x}{\ln(2)}},\at\:x=\ln(16)
integral of 1/(5x^2)	\int\:\frac{1}{5x^{2}}dx
integral from 0 to ln(7) of xe^x	\int\:_{0}^{\ln(7)}xe^{x}dx
limit as x approaches 3 of (x^3-1)/(x-1)	\lim\:_{x\to\:3}(\frac{x^{3}-1}{x-1})
derivative of sin(pi-x)	derivative\:\sin(π-x)
(\partial ^2)/(\partial x^2)(ln(3x+3ct))	\frac{\partial\:^{2}}{\partial\:x^{2}}(\ln(3x+3ct))
integral from 0 to 1 of (40)/(x^2-100)	\int\:_{0}^{1}\frac{40}{x^{2}-100}dx
area 2^x,(0,2)	area\:2^{x},(0,2)
limit as x approaches 8 of sqrt(x^2-9)	\lim\:_{x\to\:8}(\sqrt{x^{2}-9})
integral of (x^2-1)^2	\int\:(x^{2}-1)^{2}dx
derivative of x^{19}e^x	derivative\:x^{19}e^{x}
(\partial)/(\partial x)(x^2-1)	\frac{\partial\:}{\partial\:x}(x^{2}-1)
derivative of (x^2+5xe^x)	\frac{d}{dx}((x^{2}+5x)e^{x})
integral of x^2y	\int\:x^{2}ydy
integral of 4tan(t)	\int\:4\tan(t)dt
integral of (4x)/(sqrt(1-x^4))	\int\:\frac{4x}{\sqrt{1-x^{4}}}dx
derivative of 5sin(x+x^2)	\frac{d}{dx}(5\sin(x)+x^{2})
d/(dt)(740(1.714)^t)	\frac{d}{dt}(740(1.714)^{t})
derivative of c*e^x	\frac{d}{dx}(c\cdot\:e^{x})
integral of sqrt(4+(e^x-e^{-x))^2}	\int\:\sqrt{4+(e^{x}-e^{-x})^{2}}dx
derivative of f(x)=-8/((1+4x)^2)	derivative\:f(x)=-\frac{8}{(1+4x)^{2}}
integral of (t^2+1)e^{t^3+3t}	\int\:(t^{2}+1)e^{t^{3}+3t}dt
integral of cos((pix)/4)	\int\:\cos(\frac{πx}{4})dx
derivative of f(x)=x^4-4x^2+4	derivative\:f(x)=x^{4}-4x^{2}+4
derivative of sin(sqrt(ln(tan(x))))	\frac{d}{dx}(\sin(\sqrt{\ln(\tan(x))}))
integral of 6t	\int\:6tdt
derivative of y=(x+1/x)(x-1/x)	derivative\:y=(x+\frac{1}{x})(x-\frac{1}{x})
derivative of (cos(x^3)/(e^x))	\frac{d}{dx}(\frac{\cos(x^{3})}{e^{x}})
f(x)=sqrt(x^2-4)	f(x)=\sqrt{x^{2}-4}
derivative of sqrt(x^3-x)	derivative\:\sqrt{x^{3}-x}
taylor 3/(1-x)	taylor\:\frac{3}{1-x}
slope of (-4,-4),(5,-7)	slope\:(-4,-4),(5,-7)
y^{''}+2y^'+y=x^3	y^{\prime\:\prime\:}+2y^{\prime\:}+y=x^{3}
integral of xsqrt(5-x^2)	\int\:x\sqrt{5-x^{2}}dx
integral of e^{-st}(3t)	\int\:e^{-st}(3t)dt
integral of 5x(sqrt(x)-x^2)	\int\:5x(\sqrt{x}-x^{2})dx
(\partial)/(\partial x)(ln(x^2+y)-z)	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+y)-z)
limit as x approaches 3 of sqrt(x^2+9)	\lim\:_{x\to\:3}(\sqrt{x^{2}+9})
derivative of 2sin^2(x)	derivative\:2\sin^{2}(x)
f(y)= 1/(2y)	f(y)=\frac{1}{2y}
derivative of 9arctan(x-sqrt(1+x^2))	\frac{d}{dx}(9\arctan(x-\sqrt{1+x^{2}}))
integral of x^4+x+9	\int\:x^{4}+x+9dx
integral from 0 to 1 of x/(e^{7x)}	\int\:_{0}^{1}\frac{x}{e^{7x}}dx
derivative of cos(arctan(2x))	derivative\:\cos(\arctan(2x))
(\partial)/(\partial x)(zx)	\frac{\partial\:}{\partial\:x}(zx)
d/(dt)(sin(t)(1-sin(t)))	\frac{d}{dt}(\sin(t)(1-\sin(t)))
(dy)/(dx)+2=x	\frac{dy}{dx}+2=x
limit as x approaches 0 of+sin(x)ln(x)	\lim\:_{x\to\:0}(+\sin(x)\ln(x))
limit as x approaches 0 of x^2cos(1/2)	\lim\:_{x\to\:0}(x^{2}\cos(\frac{1}{2}))
derivative of 4cos(x-e^{2x})	\frac{d}{dx}(4\cos(x)-e^{2x})
derivative of sin^2(x)	derivative\:\sin^{2}(x)
integral of xe^{x^2+2}	\int\:xe^{x^{2}+2}dx
limit as x approaches 4-of ln(x-4)	\lim\:_{x\to\:4-}(\ln(x-4))
integral of-e^{-4x}	\int\:-e^{-4x}dx
derivative of (3x+4^2)	\frac{d}{dx}((3x+4)^{2})
limit as x approaches-2 of 1-3x	\lim\:_{x\to\:-2}(1-3x)
maclaurin arctan(x)	maclaurin\:\arctan(x)
integral of (5cos(x)+9sin(x))	\int\:(5\cos(x)+9\sin(x))dx
integral of (7+sqrt(x)+x)/x	\int\:\frac{7+\sqrt{x}+x}{x}dx
integral from-1 to 2 of (\|x\|)/x	\int\:_{-1}^{2}\frac{\left\|x\right\|}{x}dx
tangent of f(x)=(4x+2)^{1/4},\at x=1	tangent\:f(x)=(4x+2)^{\frac{1}{4}},\at\:x=1
(\partial)/(\partial x)(4/(4x+y))	\frac{\partial\:}{\partial\:x}(\frac{4}{4x+y})
sum from n=1 to infinity of (2n)/3	\sum\:_{n=1}^{\infty\:}\frac{2n}{3}
(\partial)/(\partial x)(3e^y)	\frac{\partial\:}{\partial\:x}(3e^{y})
(\partial)/(\partial x)(sin(2x)cos(2t))	\frac{\partial\:}{\partial\:x}(\sin(2x)\cos(2t))
integral of (ln(2x))/(ln(4x)x)	\int\:\frac{\ln(2x)}{\ln(4x)x}dx
derivative of (x+6^7(x+3)^5)	\frac{d}{dx}((x+6)^{7}(x+3)^{5})
y^'=((x-3))/((y-4))	y^{\prime\:}=\frac{(x-3)}{(y-4)}
integral of x^2-x-2	\int\:x^{2}-x-2dx
derivative of sqrt((3x+1/(5x^2+1)))	\frac{d}{dx}(\sqrt{\frac{3x+1}{5x^{2}+1}})
derivative of f(x)=(sin(x))/(x^3)	derivative\:f(x)=\frac{\sin(x)}{x^{3}}

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