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Popular Calculus Problems

limit as x approaches 0 of (tan(9x))^x	\lim\:_{x\to\:0}((\tan(9x))^{x})
derivative of-4pisin(8pix)	\frac{d}{dx}(-4π\sin(8πx))
derivative of 4log_{3}(x^2-1)	\frac{d}{dx}(4\log_{3}(x^{2}-1))
derivative of 20x	\frac{d}{dx}(20x)
integral of 1/(x(1+4In^2x))	\int\:\frac{1}{x(1+4In^{2}x)}dx
derivative of y=16sqrt(x)	derivative\:y=16\sqrt{x}
extreme f(v)= v/(v+d/v)	extreme\:f(v)=\frac{v}{v+\frac{d}{v}}
area y=3sqrt(x),y= 3/2 x	area\:y=3\sqrt{x},y=\frac{3}{2}x
inverse oflaplace 3e^{-s}	inverselaplace\:3e^{-s}
integral from 1 to infinity of 8e^{-4x}	\int\:_{1}^{\infty\:}8e^{-4x}dx
derivative of y=cot^2(5x)	derivative\:y=\cot^{2}(5x)
derivative of f(x)= 4/(x^3)	derivative\:f(x)=\frac{4}{x^{3}}
derivative of (x^{11}-1)^3	derivative\:(x^{11}-1)^{3}
derivative of y=6e^xcos(x)	derivative\:y=6e^{x}\cos(x)
integral of 1^{-x}	\int\:1^{-x}dx
integral of xe^{x-1}	\int\:xe^{x-1}dx
(\partial)/(\partial x)(y*x)	\frac{\partial\:}{\partial\:x}(y\cdot\:x)
limit as x approaches 6 of 2x+3x	\lim\:_{x\to\:6}(2x+3x)
x(dy)/(dx)+y=2x+1	x\frac{dy}{dx}+y=2x+1
derivative of tan^2(9x)	derivative\:\tan^{2}(9x)
derivative of f(x)=(x^2-3x)(5x^3+6)	derivative\:f(x)=(x^{2}-3x)(5x^{3}+6)
y^'=e^{2x}+y-1	y^{\prime\:}=e^{2x}+y-1
limit as x approaches 4 of sqrt(x^2-9)	\lim\:_{x\to\:4}(\sqrt{x^{2}-9})
2x^{''}+6x^'+9x=0	2x^{\prime\:\prime\:}+6x^{\prime\:}+9x=0
(2xy+x)dx+(x^2+y)dy=0	(2xy+x)dx+(x^{2}+y)dy=0
integral of 9.8x	\int\:9.8xdx
(\partial)/(\partial t)(0)	\frac{\partial\:}{\partial\:t}(0)
integral of-4x^{3/2}+3x^{2/3}-4x^2	\int\:-4x^{\frac{3}{2}}+3x^{\frac{2}{3}}-4x^{2}dx
integral of 2/(xsqrt(4-(ln(x))^2))	\int\:\frac{2}{x\sqrt{4-(\ln(x))^{2}}}dx
y^{''}-8y^'+12y=0	y^{\prime\:\prime\:}-8y^{\prime\:}+12y=0
integral from 1 to 2 of xy^3e^{x^2y^2}	\int\:_{1}^{2}xy^{3}e^{x^{2}y^{2}}dx
xy^'-2y=9x^2	xy^{\prime\:}-2y=9x^{2}
tangent of y=3x^3+5x+4,(2,38)	tangent\:y=3x^{3}+5x+4,(2,38)
(dy)/(dx)=yx+y^2	\frac{dy}{dx}=yx+y^{2}
integral of (x^2+5x)/((x-3)(x^2+9))	\int\:\frac{x^{2}+5x}{(x-3)(x^{2}+9)}dx
area y=x^2-37,y=11-2x	area\:y=x^{2}-37,y=11-2x
derivative of y=e^{-6x^5}	derivative\:y=e^{-6x^{5}}
integral of 1/(x(1+(ln(x))^2))	\int\:\frac{1}{x(1+(\ln(x))^{2})}dx
slope of-2(x-8)^2	slope\:-2(x-8)^{2}
integral of 1/(xsqrt(x^2+7))	\int\:\frac{1}{x\sqrt{x^{2}+7}}dx
integral of cot^6(x)csc^4(x)	\int\:\cot^{6}(x)\csc^{4}(x)dx
integral of 1/(2cos^2(x))	\int\:\frac{1}{2\cos^{2}(x)}dx
inverse oflaplace 1/((s+1)(s+2))	inverselaplace\:\frac{1}{(s+1)(s+2)}
x^2y^{''}-2xy^'+(2+x^2)y=0	x^{2}y^{\prime\:\prime\:}-2xy^{\prime\:}+(2+x^{2})y=0
(\partial)/(\partial x)((55)/((9+x^2+y^2)))	\frac{\partial\:}{\partial\:x}(\frac{55}{(9+x^{2}+y^{2})})
y^'+3/4 y=1-t/3	y^{\prime\:}+\frac{3}{4}y=1-\frac{t}{3}
derivative of e^{ln(1+1/k)}	derivative\:e^{\ln(1+\frac{1}{k})}
integral from 0 to 2pi of t^2sin(2t)	\int\:_{0}^{2π}t^{2}\sin(2t)dt
derivative of f(x)=(32)/(x^3)	derivative\:f(x)=\frac{32}{x^{3}}
area x+2,1,3	area\:x+2,1,3
derivative of xln(xcos(x))	\frac{d}{dx}(x\ln(x)\cos(x))
integral of 1/(3x)+cos(2x)-5x^2	\int\:\frac{1}{3x}+\cos(2x)-5x^{2}dx
integral of+1/(25e^{-4x)+e^{4x}}	\int\:+\frac{1}{25e^{-4x}+e^{4x}}dx
d/(dθ)(cot^2(sin(θ)))	\frac{d}{dθ}(\cot^{2}(\sin(θ)))
integral of (x+8)/(sqrt(x))	\int\:\frac{x+8}{\sqrt{x}}dx
d/(dt)(e^{4t}cos(t))	\frac{d}{dt}(e^{4t}\cos(t))
integral of y^{-2}	\int\:y^{-2}dy
derivative of (7x-4/(-3x+3))	\frac{d}{dx}(\frac{7x-4}{-3x+3})
derivative of-6	derivative\:-6
limit as x approaches 5 of 2x-5	\lim\:_{x\to\:5}(2x-5)
(dy)/(dt)=(1+t)(1+y)	\frac{dy}{dt}=(1+t)(1+y)
limit as t approaches 1+of (\|1-t\|)/(1-t)	\lim\:_{t\to\:1+}(\frac{\left\|1-t\right\|}{1-t})
derivative of e^{x^2-y^2}	\frac{d}{dx}(e^{x^{2}-y^{2}})
slope of (-5,-8),(0,-7)	slope\:(-5,-8),(0,-7)
integral of cos(x)(7+7sin^2(x))	\int\:\cos(x)(7+7\sin^{2}(x))dx
derivative of f(x)=6sin^6(sqrt(x))	derivative\:f(x)=6\sin^{6}(\sqrt{x})
(\partial)/(\partial t)(t^8e^{-x})	\frac{\partial\:}{\partial\:t}(t^{8}e^{-x})
tangent of e^x(2x+2)	tangent\:e^{x}(2x+2)
integral from 0 to 16 of 8x	\int\:_{0}^{16}8xdx
sum from k=1 to infinity of 1/(1+k^2)	\sum\:_{k=1}^{\infty\:}\frac{1}{1+k^{2}}
derivative of f(x)=x^5-2x^3+x-1	derivative\:f(x)=x^{5}-2x^{3}+x-1
derivative of (6x+2x^2/((3+2x)^2))	\frac{d}{dx}(\frac{6x+2x^{2}}{(3+2x)^{2}})
integral from-1 to 3 of x^2+6x+3	\int\:_{-1}^{3}x^{2}+6x+3dx
limit as x approaches 2+of 3-ax-x^2	\lim\:_{x\to\:2+}(3-ax-x^{2})
integral of (7-x)/((x-2)^2)	\int\:\frac{7-x}{(x-2)^{2}}dx
integral of ln(x^2-x+2)	\int\:\ln(x^{2}-x+2)dx
limit as x approaches pi/2 of 6sec(x)	\lim\:_{x\to\:\frac{π}{2}}(6\sec(x))
limit as h approaches 0 of mx+b	\lim\:_{h\to\:0}(mx+b)
integral of e^{x^2+2}	\int\:e^{x^{2}+2}dx
derivative of-8cos(2x)	\frac{d}{dx}(-8\cos(2x))
slope of (-10,4),(2,-5)	slope\:(-10,4),(2,-5)
xy^'=3y	xy^{\prime\:}=3y
(dy}{dx}=\frac{x^5-8y)/x	\frac{dy}{dx}=\frac{x^{5}-8y}{x}
taylor e^x+cos(x)	taylor\:e^{x}+\cos(x)
derivative of sin(x+sin(y))	\frac{d}{dx}(\sin(x)+\sin(y))
limit as x approaches-3 of pi-x	\lim\:_{x\to\:-3}(π-x)
integral from 0 to infinity of t*e^{-t}	\int\:_{0}^{\infty\:}t\cdot\:e^{-t}dt
f(x)=cos(sin^2(x))	f(x)=\cos(\sin^{2}(x))
integral of pi^2r^4	\int\:π^{2}r^{4}dr
derivative of f(x)=sqrt(2)x+sqrt(3x)	derivative\:f(x)=\sqrt{2}x+\sqrt{3x}
derivative of tan(e^x+e^{tan(x)})	\frac{d}{dx}(\tan(e^{x})+e^{\tan(x)})
tangent of y=x^2+5x+9	tangent\:y=x^{2}+5x+9
limit as x approaches 0 of 5/(2x)	\lim\:_{x\to\:0}(\frac{5}{2x})
sum from n=2 to infinity of 1/((2n+7)^3)	\sum\:_{n=2}^{\infty\:}\frac{1}{(2n+7)^{3}}
derivative of e^{3x^3}	derivative\:e^{3x^{3}}
integral from 1 to 2 of (x^5+x^{-5})	\int\:_{1}^{2}(x^{5}+x^{-5})dx
integral of x^3(2+x^4)^5	\int\:x^{3}(2+x^{4})^{5}dx
(\partial)/(\partial y)(-xsin(xy))	\frac{\partial\:}{\partial\:y}(-x\sin(xy))
f(x)= 8/(x^3)	f(x)=\frac{8}{x^{3}}
integral of (27)/(1-cos(3x))	\int\:\frac{27}{1-\cos(3x)}dx

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