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Popular Calculus Problems

integral of 6e^{5x}	\int\:6e^{5x}dx
slope of (7,-6),(4,-6)	slope\:(7,-6),(4,-6)
f(x)=e^{2x+1}	f(x)=e^{2x+1}
integral of v^{-2/3}	\int\:v^{-\frac{2}{3}}dv
limit as x approaches 8 of (1+\sqrt[3]{x})(2-5x^2+x^3)	\lim\:_{x\to\:8}((1+\sqrt[3]{x})(2-5x^{2}+x^{3}))
derivative of 1/((2sqrt(x)))	derivative\:\frac{1}{(2\sqrt{x})}
limit as x approaches 6 of 4/((x-6)^2)	\lim\:_{x\to\:6}(\frac{4}{(x-6)^{2}})
integral of 1/(4-9x^2)	\int\:\frac{1}{4-9x^{2}}dx
f(x)=sqrt(2x+3)	f(x)=\sqrt{2x+3}
derivative of 2/(sqrt(3-x))	\frac{d}{dx}(\frac{2}{\sqrt{3-x}})
derivative of sec(tan^2(x^4))	\frac{d}{dx}(\sec(\tan^{2}(x^{4})))
dy=(xy^2+3xy)dx	dy=(xy^{2}+3xy)dx
y^{''}+4y^'+4y=25cos(x)	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=25\cos(x)
sum from n=0 to infinity of 1/(3^n-n)	\sum\:_{n=0}^{\infty\:}\frac{1}{3^{n}-n}
derivative of x^y	derivative\:x^{y}
derivative of y=x^2sqrt(2x-7)	derivative\:y=x^{2}\sqrt{2x-7}
integral of (2x^2+1)e^{(x^2)}	\int\:(2x^{2}+1)e^{(x^{2})}dx
x(dy)/(dx)= 1/(y^3)	x\frac{dy}{dx}=\frac{1}{y^{3}}
q^{''}+2q^'+1/(0.25)q=50cos(sqrt(3)t)	q^{\prime\:\prime\:}+2q^{\prime\:}+\frac{1}{0.25}q=50\cos(\sqrt{3}t)
(\partial)/(\partial y)(xarctan(x+2y))	\frac{\partial\:}{\partial\:y}(x\arctan(x+2y))
derivative of e^x-e^{-x}-2x	derivative\:e^{x}-e^{-x}-2x
integral of 2x(x^2+1)^{-6}	\int\:2x(x^{2}+1)^{-6}dx
derivative of f(t)= 1/((t^2+3t+1)^{5/2)}	derivative\:f(t)=\frac{1}{(t^{2}+3t+1)^{\frac{5}{2}}}
integral of sqrt(1-e^x)	\int\:\sqrt{1-e^{x}}dx
limit as x approaches-infinity of x^3-x	\lim\:_{x\to\:-\infty\:}(x^{3}-x)
limit as x approaches infinity of x^{-6}	\lim\:_{x\to\:\infty\:}(x^{-6})
integral of-x*e^{3x}	\int\:-x\cdot\:e^{3x}dx
integral of sqrt(x^2-y^2)	\int\:\sqrt{x^{2}-y^{2}}dy
integral of (4x^3-6x^4)/(2x^6)	\int\:\frac{4x^{3}-6x^{4}}{2x^{6}}dx
y^'=2y-x^2	y^{\prime\:}=2y-x^{2}
((x^2+x+4)/(x+1))^'	(\frac{x^{2}+x+4}{x+1})^{\prime\:}
laplacetransform 8te^{2t}	laplacetransform\:8te^{2t}
derivative of f(x)=(5-xe^x)/(x+e^x)	derivative\:f(x)=\frac{5-xe^{x}}{x+e^{x}}
derivative of 1/2 sin^2(x)	derivative\:\frac{1}{2}\sin^{2}(x)
limit as x approaches-1 of (1+1/x)^x	\lim\:_{x\to\:-1}((1+\frac{1}{x})^{x})
integral of x^3-2x	\int\:x^{3}-2xdx
limit as x approaches-16 of 14	\lim\:_{x\to\:-16}(14)
(\partial)/(\partial x)(2cos^2(x))	\frac{\partial\:}{\partial\:x}(2\cos^{2}(x))
(\partial)/(\partial y)(z/x)	\frac{\partial\:}{\partial\:y}(\frac{z}{x})
(x^2+3)((dy)/(dx))=xy	(x^{2}+3)(\frac{dy}{dx})=xy
derivative of 1/((5x^6+4x+1^{9/2)})	\frac{d}{dx}(\frac{1}{(5x^{6}+4x+1)^{\frac{9}{2}}})
(dy)/(dx)+6/x y=-5x+9	\frac{dy}{dx}+\frac{6}{x}y=-5x+9
(x+1)(dy)/(dx)+(x+2)y=2xe^{-x}	(x+1)\frac{dy}{dx}+(x+2)y=2xe^{-x}
integral of (x^2+4x)/(x^3+6x^2+5)	\int\:\frac{x^{2}+4x}{x^{3}+6x^{2}+5}dx
integral of (x+1)/(x^3-x)	\int\:\frac{x+1}{x^{3}-x}dx
(\partial)/(\partial L)({K}(α)(α)^αL^{1-α})	\frac{\partial\:}{\partial\:L}({K}(α)(α)^{α}L^{1-α})
y^'+4y=0	y^{\prime\:}+4y=0
sum from n=1 to infinity of 8(7/8)^n	\sum\:_{n=1}^{\infty\:}8(\frac{7}{8})^{n}
integral of 18x^2(6x^3+5)^{1/2}	\int\:18x^{2}(6x^{3}+5)^{\frac{1}{2}}dx
integral of tan^2(x)(sec^2(x)-1)	\int\:\tan^{2}(x)(\sec^{2}(x)-1)dx
derivative of (x^3+x^{3/2})	\frac{d}{dx}((x^{3}+x)^{\frac{3}{2}})
derivative of 2^{cos(x})	\frac{d}{dx}(2^{\cos(x)})
sum from n=0 to infinity of 2^{3-2n}	\sum\:_{n=0}^{\infty\:}2^{3-2n}
integral of x/((1+2x)^2)	\int\:\frac{x}{(1+2x)^{2}}dx
(\partial)/(\partial t)(2s^2t^2)	\frac{\partial\:}{\partial\:t}(2s^{2}t^{2})
integral of x^2sqrt(8+x)	\int\:x^{2}\sqrt{8+x}dx
integral of 7/(9+4x^2)	\int\:\frac{7}{9+4x^{2}}dx
derivative of ln(x/7)	\frac{d}{dx}(\ln(\frac{x}{7}))
y^{''}+5y^'+6=1	y^{\prime\:\prime\:}+5y^{\prime\:}+6=1
laplacetransform 3e^{-4t}	laplacetransform\:3e^{-4t}
derivative of (4x+3)(2x^2+7x-1)	derivative\:(4x+3)(2x^{2}+7x-1)
integral of x^2-21	\int\:x^{2}-21dx
integral of (x+3)/(x(2x-1)^2(x+1)^2)	\int\:\frac{x+3}{x(2x-1)^{2}(x+1)^{2}}dx
derivative of (x^2-2sqrt(x))/x	derivative\:\frac{x^{2}-2\sqrt{x}}{x}
integral from 1 to 13 of 4x^{-2}	\int\:_{1}^{13}4x^{-2}dx
integral of 1/(xsqrt(49x^2+1))	\int\:\frac{1}{x\sqrt{49x^{2}+1}}dx
integral of sec^7(5x+4)	\int\:\sec^{7}(5x+4)dx
derivative of x/(sqrt(1+x^2))	derivative\:\frac{x}{\sqrt{1+x^{2}}}
limit as x approaches 4+of 7/((x-4)^2)	\lim\:_{x\to\:4+}(\frac{7}{(x-4)^{2}})
d/(dy)((cos(x)+sin(y))^{ysin(2x-y)})	\frac{d}{dy}((\cos(x)+\sin(y))^{y\sin(2x-y)})
taylor 2xln(x+1)	taylor\:2x\ln(x+1)
derivative of y=(200)/(0.9+0.1e^{2x)}	derivative\:y=\frac{200}{0.9+0.1e^{2x}}
limit as x approaches 0 of 2/(x^2+x)	\lim\:_{x\to\:0}(\frac{2}{x^{2}+x})
integral of ((2x^2+3x+2))/((x^2+1)^2)	\int\:\frac{(2x^{2}+3x+2)}{(x^{2}+1)^{2}}dx
(\partial)/(\partial v)(2vcos(u))	\frac{\partial\:}{\partial\:v}(2v\cos(u))
derivative of 0.882A^{0.842}	derivative\:0.882A^{0.842}
laplacetransform-8t^2	laplacetransform\:-8t^{2}
derivative of f(x)=x^{1/2}	derivative\:f(x)=x^{\frac{1}{2}}
limit as x approaches 0 of (1-cos(x))/x	\lim\:_{x\to\:0}(\frac{1-\cos(x)}{x})
laplacetransform 2t^2-e^{-1}	laplacetransform\:2t^{2}-e^{-1}
sum from n=1 to infinity of 1/4	\sum\:_{n=1}^{\infty\:}\frac{1}{4}
tangent of f(x)=(x^2)/(x+2),\at x=2	tangent\:f(x)=\frac{x^{2}}{x+2},\at\:x=2
integral of y^2e^{xy^2}	\int\:y^{2}e^{xy^{2}}dx
derivative of sqrt(4-x^2)+2arcsin(x/2)	\frac{d}{dx}(\sqrt{4-x^{2}}+2\arcsin(\frac{x}{2}))
derivative of (x^2)/(x-3)	derivative\:\frac{x^{2}}{x-3}
y^{''}+4y^'+4y=x^2	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=x^{2}
integral of (8x^5-5x^4-4x^3-6x^2-2x-3)	\int\:(8x^{5}-5x^{4}-4x^{3}-6x^{2}-2x-3)dx
derivative of (30000)/(1.8t+9)	derivative\:\frac{30000}{1.8t+9}
integral of 1/(4-3x)	\int\:\frac{1}{4-3x}dx
slope of (2.5)(-1.7)	slope\:(2.5)(-1.7)
limit as x approaches 0 of (x^4)/(x^2)	\lim\:_{x\to\:0}(\frac{x^{4}}{x^{2}})
sum from n=0 to infinity of (x^n)/(2^n)	\sum\:_{n=0}^{\infty\:}\frac{x^{n}}{2^{n}}
sum from n=1 to infinity of 1/(2^n-n)	\sum\:_{n=1}^{\infty\:}\frac{1}{2^{n}-n}
y^{''}+(y^')/x =0	y^{\prime\:\prime\:}+\frac{y^{\prime\:}}{x}=0
limit as x approaches 3 of x^2-2x+1	\lim\:_{x\to\:3}(x^{2}-2x+1)
derivative of 5e^{-zx^2}	derivative\:5e^{-zx^{2}}
limit as x approaches 0 of (x^5+2x)/x	\lim\:_{x\to\:0}(\frac{x^{5}+2x}{x})
integral of (3x)/((x+1)^2)	\int\:\frac{3x}{(x+1)^{2}}dx
tangent of y= 1/(x-6),(-3,-1/9)	tangent\:y=\frac{1}{x-6},(-3,-\frac{1}{9})
integral from 2 to infinity of 7x^{-2}	\int\:_{2}^{\infty\:}7x^{-2}dx

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