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Popular Calculus Problems

y^{''}-2y^'=9x	y^{\prime\:\prime\:}-2y^{\prime\:}=9x
integral from 0 to 2 of (3x^2-2)	\int\:_{0}^{2}(3x^{2}-2)dx
derivative of (2+u^2)^5(5-9u^2)^8	derivative\:(2+u^{2})^{5}(5-9u^{2})^{8}
tangent of f(x)=5+4x^2-2x^3,(1,7)	tangent\:f(x)=5+4x^{2}-2x^{3},(1,7)
integral of ((3x^2-4)^{3/2}4x^3)/(x^2)	\int\:\frac{(3x^{2}-4)^{\frac{3}{2}}4x^{3}}{x^{2}}dx
derivative of (sin(x)/(1+cos(x)))	\frac{d}{dx}(\frac{\sin(x)}{1+\cos(x)})
integral of e^{-st}tcos(t)	\int\:e^{-st}t\cos(t)dt
inverse oflaplace 5/(s(s^2+s+1))	inverselaplace\:\frac{5}{s(s^{2}+s+1)}
integral from-2 to 2 of 4^x	\int\:_{-2}^{2}4^{x}dx
((dy))/((dx))=8x^{(3)}+6x^{(2)}	\frac{(dy)}{(dx)}=8x^{(3)}+6x^{(2)}
derivative of sqrt(15x)ln(4x)	derivative\:\sqrt{15x}\ln(4x)
integral of 8/(5^{3x)}	\int\:\frac{8}{5^{3x}}dx
integral of (x^2+12x+12)/(x(x^2-4))	\int\:\frac{x^{2}+12x+12}{x(x^{2}-4)}dx
derivative of (8x^2+6x+6/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+6x+6}{\sqrt{x}})
integral of 16sin^2(xco)s^2x	\int\:16\sin^{2}(xco)s^{2}xdx
y^{''}+4y=sec^2(2x)	y^{\prime\:\prime\:}+4y=\sec^{2}(2x)
integral of 5tan^3(θ)	\int\:5\tan^{3}(θ)dθ
inverse oflaplace 1/(s^2+s+1)	inverselaplace\:\frac{1}{s^{2}+s+1}
integral of sin^2(1/2 x)	\int\:\sin^{2}(\frac{1}{2}x)dx
derivative of 9x^4	\frac{d}{dx}(9x^{4})
integral of x/(2-3x)	\int\:\frac{x}{2-3x}dx
derivative of 1/((3x+8^2))	\frac{d}{dx}(\frac{1}{(3x+8)^{2}})
(\partial}{\partial x}(\frac{3x)/y)	\frac{\partial\:}{\partial\:x}(\frac{3x}{y})
limit as x approaches-1-of x+2	\lim\:_{x\to\:-1-}(x+2)
integral of (1-3x)/(3+2x)	\int\:\frac{1-3x}{3+2x}dx
limit as x approaches 0 of (x^3-x)/x	\lim\:_{x\to\:0}(\frac{x^{3}-x}{x})
sum from n=1 to infinity of \|sin(n)\|	\sum\:_{n=1}^{\infty\:}\left\|\sin(n)\right\|
derivative of (cos(x)(ln(tan(x))))	\frac{d}{dx}((\cos(x))(\ln(\tan(x))))
tangent of (2x+3)^{1/4}	tangent\:(2x+3)^{\frac{1}{4}}
area y^2+8x=16,y^2-24x=48	area\:y^{2}+8x=16,y^{2}-24x=48
derivative of (8x)^{2x}	derivative\:(8x)^{2x}
(\partial}{\partial s}(\frac{s-2r)/t)	\frac{\partial\:}{\partial\:s}(\frac{s-2r}{t})
integral of (3x+1)/x	\int\:\frac{3x+1}{x}dx
y^{''}-8y^'+16y=0,y(0)=3,y^'(0)=0	y^{\prime\:\prime\:}-8y^{\prime\:}+16y=0,y(0)=3,y^{\prime\:}(0)=0
derivative of 2x^2+7	\frac{d}{dx}(2x^{2}+7)
tangent of f(x)=(4x+5)(5x-1),\at x=3	tangent\:f(x)=(4x+5)(5x-1),\at\:x=3
integral of-x/(sqrt(1-x^2))	\int\:-\frac{x}{\sqrt{1-x^{2}}}dx
derivative of x,(x)	\frac{d}{dx}(x,(x))
f(x)=\sqrt[4]{6x^4-7x^2}	f(x)=\sqrt[4]{6x^{4}-7x^{2}}
limit as x approaches-2 of x^2-a	\lim\:_{x\to\:-2}(x^{2}-a)
(dy)/(dx)=x^{10cos(x)}	\frac{dy}{dx}=x^{10\cos(x)}
integral of t/(t^4+9)	\int\:\frac{t}{t^{4}+9}dt
derivative of 4x^3e^x	\frac{d}{dx}(4x^{3}e^{x})
limit as x approaches-infinity of-4x	\lim\:_{x\to\:-\infty\:}(-4x)
(\partial)/(\partial x)(x^2y)	\frac{\partial\:}{\partial\:x}(x^{2}y)
derivative of (e^{2x}^{sec(x)})	\frac{d}{dx}((e^{2x})^{\sec(x)})
f(t)=2sin(t)	f(t)=2\sin(t)
tangent of f(x)=(3-2x)/(3+2x)	tangent\:f(x)=\frac{3-2x}{3+2x}
derivative of x^{7cos(x)}	derivative\:x^{7\cos(x)}
limit as x approaches 6 of 2x+4	\lim\:_{x\to\:6}(2x+4)
derivative of sqrt(8x)-sqrt(2x)	derivative\:\sqrt{8x}-\sqrt{2x}
limit as x approaches pi of csc(x)	\lim\:_{x\to\:π}(\csc(x))
inverse oflaplace x^2-5	inverselaplace\:x^{2}-5
tangent of f(x)= 3/(sqrt(x)),\at x=a	tangent\:f(x)=\frac{3}{\sqrt{x}},\at\:x=a
derivative of e^x-2cos(x)	\frac{d}{dx}(e^{x}-2\cos(x))
(\partial)/(\partial x)(4x^{-1/2}-6/x)	\frac{\partial\:}{\partial\:x}(4x^{-\frac{1}{2}}-\frac{6}{x})
(\partial)/(\partial x)(ln(9+x^2+3y^2))	\frac{\partial\:}{\partial\:x}(\ln(9+x^{2}+3y^{2}))
derivative of 6/((x-1^4))	\frac{d}{dx}(\frac{6}{(x-1)^{4}})
derivative of sin(x^2+2)	\frac{d}{dx}(\sin(x^{2}+2))
derivative of (sin(x)/((x+1)^2))	\frac{d}{dx}(\frac{\sin(x)}{(x+1)^{2}})
(\partial)/(\partial x)(sqrt(x^2+8))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+8})
derivative of x^{x^{x^{x^x}}}	\frac{d}{dx}(x^{x^{x^{x^{x}}}})
integral of (x^3-1)/(x-1)	\int\:\frac{x^{3}-1}{x-1}dx
integral of ((sin(x))/(cos^2(x)))	\int\:(\frac{\sin(x)}{\cos^{2}(x)})dx
sum from n=2 to infinity of 8/(4^{2n)}	\sum\:_{n=2}^{\infty\:}\frac{8}{4^{2n}}
y^'=(-2xy)/(1+x^2)	y^{\prime\:}=\frac{-2xy}{1+x^{2}}
(\partial)/(\partial x)(42y^8x^5-30y^7x^4)	\frac{\partial\:}{\partial\:x}(42y^{8}x^{5}-30y^{7}x^{4})
derivative of cos(2arctan(x/2))	derivative\:\cos(2\arctan(\frac{x}{2}))
integral of (u^2)/(sqrt(u^2-8u))	\int\:\frac{u^{2}}{\sqrt{u^{2}-8u}}du
derivative of x^{1/3}(x+4)	\frac{d}{dx}(x^{\frac{1}{3}}(x+4))
derivative of 2/(1+3x+x^2)	derivative\:\frac{2}{1+3x+x^{2}}
(24+x^2)y^'-2xy=0	(24+x^{2})y^{\prime\:}-2xy=0
(dy}{dx}=\frac{y^3)/x ,y(1)=1	\frac{dy}{dx}=\frac{y^{3}}{x},y(1)=1
integral of (x^2-5x+9)/(x^2-5x+6)	\int\:\frac{x^{2}-5x+9}{x^{2}-5x+6}dx
(\partial)/(\partial x)(x,y,z)	\frac{\partial\:}{\partial\:x}(x,y,z)
area x^3,0,3	area\:x^{3},0,3
tangent of f(x)=(2ln(x))/x ,\at x=e	tangent\:f(x)=\frac{2\ln(x)}{x},\at\:x=e
integral of (-x)/(x^2+y^2)	\int\:\frac{-x}{x^{2}+y^{2}}dy
integral of e^{-2x}*x	\int\:e^{-2x}\cdot\:xdx
integral of 1/((196+x^2)^{3/2)}	\int\:\frac{1}{(196+x^{2})^{\frac{3}{2}}}dx
limit as x approaches-1 of g(x)	\lim\:_{x\to\:-1}(g(x))
derivative of 15e^{3x}	derivative\:15e^{3x}
limit as x approaches 3 of x	\lim\:_{x\to\:3}(x)
y^{''}-4y^'+4y=0,y(0)=12,y^'(0)=-3	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=0,y(0)=12,y^{\prime\:}(0)=-3
integral of (1/(x^2)-1/(xsqrt(x))+5)	\int\:(\frac{1}{x^{2}}-\frac{1}{x\sqrt{x}}+5)dx
derivative of 4sqrt(x)sin(x)	derivative\:4\sqrt{x}\sin(x)
-4y^'+12x^2=0	-4y^{\prime\:}+12x^{2}=0
(\partial)/(\partial x)(3y^2cos(5x))	\frac{\partial\:}{\partial\:x}(3y^{2}\cos(5x))
(\partial)/(\partial x)(2xye^{xy^2}-3y^2)	\frac{\partial\:}{\partial\:x}(2xye^{xy^{2}}-3y^{2})
integral of 1/((ln(x))^2)	\int\:\frac{1}{(\ln(x))^{2}}dx
(\partial)/(\partial y)(2arctan(y/x))	\frac{\partial\:}{\partial\:y}(2\arctan(\frac{y}{x}))
tangent of f(x)=2+3x-5x^2,\at x=1	tangent\:f(x)=2+3x-5x^{2},\at\:x=1
limit as h approaches 1 of 4h^2+x+3	\lim\:_{h\to\:1}(4h^{2}+x+3)
derivative of e^xsin(9x)	\frac{d}{dx}(e^{x}\sin(9x))
derivative of e^{-2x}+1/3 e^x	derivative\:e^{-2x}+\frac{1}{3}e^{x}
limit as x approaches infinity of 0x	\lim\:_{x\to\:\infty\:}(0x)
integral of10^{-3}+10^{-5}t+10^{-8}t^2+10^{-12}t^3	\int\:\cdot\:10^{-3}+\cdot\:10^{-5}t+\cdot\:10^{-8}t^{2}+\cdot\:10^{-12}t^{3}dt
integral of (9x^2+25)((7x-4)/(x^2))	\int\:(9x^{2}+25)(\frac{7x-4}{x^{2}})dx
derivative of e^{5x}+5e^{5x}x	\frac{d}{dx}(e^{5x}+5e^{5x}x)
derivative of sqrt(x^2+4xy+y^6)-8	\frac{d}{dx}(\sqrt{x^{2}+4xy+y^{6}}-8)

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