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Popular Calculus Problems

integral of-cos(2x)	\int\:-\cos(2x)dx
derivative of (x^2)/(2-x^2)	derivative\:\frac{x^{2}}{2-x^{2}}
integral from 1 to 9 of (x-2)/(sqrt(x))	\int\:_{1}^{9}\frac{x-2}{\sqrt{x}}dx
limit as x approaches 0 of x/(x^2+2x)	\lim\:_{x\to\:0}(\frac{x}{x^{2}+2x})
integral from 0 to 2 of xsqrt(7-x^2)	\int\:_{0}^{2}x\sqrt{7-x^{2}}dx
slope of (11,6),(16,y)	slope\:(11,6),(16,y)
(\partial)/(\partial y)(y(e^x-1))	\frac{\partial\:}{\partial\:y}(y(e^{x}-1))
integral of (sec^2(x)-1)	\int\:(\sec^{2}(x)-1)dx
limit as x approaches-2 of 2x+9	\lim\:_{x\to\:-2}(2x+9)
integral of xsin(-1x)	\int\:x\sin(-1x)dx
integral of e^{-sqrt(y)}	\int\:e^{-\sqrt{y}}dy
derivative of F(x)=sin(tan(3x))	derivative\:F(x)=\sin(\tan(3x))
derivative of ln(sqrt(3x+1))	\frac{d}{dx}(\ln(\sqrt{3x+1}))
derivative of sqrt(sin^5(2x^5-e^{-2x)})	\frac{d}{dx}(\sqrt{\sin^{5}(2x^{5}-e^{-2x})})
tangent of y=x^3-3x^2+1	tangent\:y=x^{3}-3x^{2}+1
derivative of f(x)=-7	derivative\:f(x)=-7
y^'-1/x y=9	y^{\prime\:}-\frac{1}{x}y=9
tangent of x^2+2,\at x=-1	tangent\:x^{2}+2,\at\:x=-1
limit as x approaches 0 of (1-2cos(x)+cos(2x))/(x^2)	\lim\:_{x\to\:0}(\frac{1-2\cos(x)+\cos(2x)}{x^{2}})
derivative of y=-2/5 x-3	derivative\:y=-\frac{2}{5}x-3
derivative of e^{cos(2x}sin(2x))	\frac{d}{dx}(e^{\cos(2x)}\sin(2x))
integral of-6x^2	\int\:-6x^{2}dx
limit as x approaches infinity of (2e^{2x})/(2x)	\lim\:_{x\to\:\infty\:}(\frac{2e^{2x}}{2x})
limit as x approaches 0 of cos(9/x)	\lim\:_{x\to\:0}(\cos(\frac{9}{x}))
integral of+(sqrt(x)+1/(sqrt(x)))(x-2/x)	\int\:+(\sqrt{x}+\frac{1}{\sqrt{x}})(x-\frac{2}{x})dx
derivative of cos(x-2)	\frac{d}{dx}(\cos(x-2))
d/(dt)(t/3)	\frac{d}{dt}(\frac{t}{3})
integral of (16-16x)/(1-sqrt(x))	\int\:\frac{16-16x}{1-\sqrt{x}}dx
derivative of (x^2-5x/(x+1))	\frac{d}{dx}(\frac{x^{2}-5x}{x+1})
limit as x approaches infinity of 0.3^x	\lim\:_{x\to\:\infty\:}(0.3^{x})
tangent of f(x)=(sin(x))/(5+5cos(x)),\at x= pi/3	tangent\:f(x)=\frac{\sin(x)}{5+5\cos(x)},\at\:x=\frac{π}{3}
inverse oflaplace (s+1)/(s^2+2s+s)	inverselaplace\:\frac{s+1}{s^{2}+2s+s}
(\partial}{\partial x}(\frac{6x)/y)	\frac{\partial\:}{\partial\:x}(\frac{6x}{y})
integral of sin(piy)	\int\:\sin(πy)dy
(\partial)/(\partial x)(sin(x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sin(x^{2}-y^{2}))
tangent of 11x^2-4x	tangent\:11x^{2}-4x
y^'=((sec(y)))/((x-4)^2)	y^{\prime\:}=\frac{(\sec(y))}{(x-4)^{2}}
(dy)/(dx)=(2-e^x)/(3+2y),y(0)=0	\frac{dy}{dx}=\frac{2-e^{x}}{3+2y},y(0)=0
integral from 0 to 1 of (x+1)^2	\int\:_{0}^{1}(x+1)^{2}dx
integral from 0 to pi of tan^2(x)	\int\:_{0}^{π}\tan^{2}(x)dx
derivative of (x^2-x+2/(sqrt(x)))	\frac{d}{dx}(\frac{x^{2}-x+2}{\sqrt{x}})
area y=2x^2,y=16x-32,y=0	area\:y=2x^{2},y=16x-32,y=0
(dy)/(dt)=(y+1)/(t+1)	\frac{dy}{dt}=\frac{y+1}{t+1}
integral of 1/(sqrt(1-x^2))	\int\:\frac{1}{\sqrt{1-x^{2}}}dx
(\partial)/(\partial x)(6-arctan(7x^2+2y^2))	\frac{\partial\:}{\partial\:x}(6-\arctan(7x^{2}+2y^{2}))
(d^2)/(dx^2)(3xcos(x^2))	\frac{d^{2}}{dx^{2}}(3x\cos(x^{2}))
integral of tln(t+2)	\int\:t\ln(t+2)dt
d/(dt)(sin(5t))	\frac{d}{dt}(\sin(5t))
y^'=2x-3y	y^{\prime\:}=2x-3y
integral of 2(tan^2(x)+tan^4(x))	\int\:2(\tan^{2}(x)+\tan^{4}(x))dx
integral of xarccot(x)	\int\:x\arccot(x)dx
f^{''}(x)=x^{-3/2},f^'(4)=7,f(0)=0	f^{\prime\:\prime\:}(x)=x^{-\frac{3}{2}},f^{\prime\:}(4)=7,f(0)=0
derivative of 2/((x-1^3))	\frac{d}{dx}(\frac{2}{(x-1)^{3}})
inverse oflaplace (2(s-1)e^{-2s})/(s^2-2s+2)	inverselaplace\:\frac{2\cdot\:(s-1)\cdot\:e^{-2s}}{s^{2}-2s+2}
tangent of y=x^2+2,(-4,18)	tangent\:y=x^{2}+2,(-4,18)
area y=7x,y= 7/4 x,y=78-x^2	area\:y=7x,y=\frac{7}{4}x,y=78-x^{2}
(\partial)/(\partial t)(r*cos(t))	\frac{\partial\:}{\partial\:t}(r\cdot\:\cos(t))
derivative of ln(,\at ^c)	derivative\:\ln(,\at\:^{c})
integral of-1/50	\int\:-\frac{1}{50}dx
(dy)/(dx)= 1/(x+1)y+4x^2+4x	\frac{dy}{dx}=\frac{1}{x+1}y+4x^{2}+4x
laplacetransform 2(t-2)^2	laplacetransform\:2(t-2)^{2}
(dy)/(dx)=(3x+1)/(4y)	\frac{dy}{dx}=\frac{3x+1}{4y}
integral from 0 to 1 of (5x^4)/(1+x^5)	\int\:_{0}^{1}\frac{5x^{4}}{1+x^{5}}dx
integral of (6x-2)^{-4}	\int\:(6x-2)^{-4}dx
integral of (2r)/((1-r)^7)	\int\:\frac{2r}{(1-r)^{7}}dr
area y=x^2,y=2-x	area\:y=x^{2},y=2-x
integral of-2/(sqrt(1-9x^2))	\int\:-\frac{2}{\sqrt{1-9x^{2}}}dx
(dy)/(dx)=-sin^2(y)+1	\frac{dy}{dx}=-\sin^{2}(y)+1
integral from-1 to 2 of-2e^{1-3x}	\int\:_{-1}^{2}-2e^{1-3x}dx
sum from n=1 to infinity of cos(npi)	\sum\:_{n=1}^{\infty\:}\cos(nπ)
integral of (8x+2)sqrt(4x^2+2x)	\int\:(8x+2)\sqrt{4x^{2}+2x}dx
integral of (x^2-x)/(e^x)	\int\:\frac{x^{2}-x}{e^{x}}dx
(-2xy^2+2x)/((x^2y+4*y))=y^'	\frac{-2\cdot\:x\cdot\:y^{2}+2\cdot\:x}{(x^{2}\cdot\:y+4\cdot\:y)}=y^{\prime\:}
integral of x/(x^2+2x-3)	\int\:\frac{x}{x^{2}+2x-3}dx
integral of x^2+9e^x+C	\int\:x^{2}+9e^{x}+Cdx
derivative of 1+5sin(x)	\frac{d}{dx}(1+5\sin(x))
derivative of e^{ax}cos(bx)	\frac{d}{dx}(e^{ax}\cos(bx))
integral from 1 to 2 of ((3x-1))/(3x)	\int\:_{1}^{2}\frac{(3x-1)}{3x}dx
derivative of sin(5xe^{3x})	\frac{d}{dx}(\sin(5x)e^{3x})
2y^'+3y=0	2y^{\prime\:}+3y=0
(\partial)/(\partial x)(2/(2x-2z+1))	\frac{\partial\:}{\partial\:x}(\frac{2}{2x-2z+1})
derivative of x*sqrt(3x^2+5)	derivative\:x\cdot\:\sqrt{3x^{2}+5}
area x^2,x,-1,1	area\:x^{2},x,-1,1
area x^2-2,x,-2,2	area\:x^{2}-2,x,-2,2
y^'=(4xy)/(2+x^2)	y^{\prime\:}=\frac{4xy}{2+x^{2}}
limit as x approaches-4 of-x^2+4x-9	\lim\:_{x\to\:-4}(-x^{2}+4x-9)
y^{''}-3y^'=t^3-6	y^{\prime\:\prime\:}-3y^{\prime\:}=t^{3}-6
integral of (x^4)/((8+x^5)^2)	\int\:\frac{x^{4}}{(8+x^{5})^{2}}dx
f(x)=ln(1-x)	f(x)=\ln(1-x)
integral of x^2sqrt(x^3+23)	\int\:x^{2}\sqrt{x^{3}+23}dx
integral of x^{8.3}	\int\:x^{8.3}dx
integral from 0 to 2 of 3x^5	\int\:_{0}^{2}3x^{5}dx
integral of (10)/(sec(2x)-1)	\int\:\frac{10}{\sec(2x)-1}dx
f(x)=(ln(x))/(x-1)	f(x)=\frac{\ln(x)}{x-1}
integral of (2t+7)^{2.9}	\int\:(2t+7)^{2.9}dt
derivative of 3x^3-5x+7x^4-9-x^2	derivative\:3x^{3}-5x+7x^{4}-9-x^{2}
derivative of f(x)=-3x^2+4x+20	derivative\:f(x)=-3x^{2}+4x+20
limit as x approaches 3 of (x-5)/(x+3)	\lim\:_{x\to\:3}(\frac{x-5}{x+3})
derivative of 2sin(sqrt(t))	derivative\:2\sin(\sqrt{t})
integral of arctan(2x)	\int\:\arctan(2x)dx

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