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Popular Calculus Problems

(\partial)/(\partial x)(2yx^2+4)	\frac{\partial\:}{\partial\:x}(2yx^{2}+4)
derivative of 2^{3x-2x^2}	\frac{d}{dx}(2^{3x-2x^{2}})
derivative of f(x)=1-1/x	derivative\:f(x)=1-\frac{1}{x}
area y^2=x+10,y^2=8-x	area\:y^{2}=x+10,y^{2}=8-x
(\partial)/(\partial x)(1/((x+y)^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{(x+y)^{2}})
limit as x approaches 1 of 1/(1+x^2)	\lim\:_{x\to\:1}(\frac{1}{1+x^{2}})
area-4x^2+9,x+7,0	area\:-4x^{2}+9,x+7,0
derivative of x^9	derivative\:x^{9}
derivative of ((x^2-5^3)/((x^2+4)^2))	\frac{d}{dx}(\frac{(x^{2}-5)^{3}}{(x^{2}+4)^{2}})
xyy^'+1+x^2+y^2=0	xyy^{\prime\:}+1+x^{2}+y^{2}=0
sum from n=0 to infinity of arctan(n^2)	\sum\:_{n=0}^{\infty\:}\arctan(n^{2})
x^{''}=x^'	x^{\prime\:\prime\:}=x^{\prime\:}
tangent of f(x)=sqrt(2x-1),\at x=5	tangent\:f(x)=\sqrt{2x-1},\at\:x=5
integral from 0 to 1 of 11cos(x^2)	\int\:_{0}^{1}11\cos(x^{2})dx
derivative of 3/(5x^3)	derivative\:\frac{3}{5x^{3}}
integral of x^2sqrt(4+x^2)	\int\:x^{2}\sqrt{4+x^{2}}dx
tangent of f(x)=2x^2-5x+4,\at x=0	tangent\:f(x)=2x^{2}-5x+4,\at\:x=0
sum from n=1 to infinity of (3n)/(4n+5)	\sum\:_{n=1}^{\infty\:}\frac{3n}{4n+5}
integral of 1/(-sec^2(x))	\int\:\frac{1}{-\sec^{2}(x)}dx
(4x^3+4xy-1)dx=(1-2x^2-2y)dy	(4x^{3}+4xy-1)dx=(1-2x^{2}-2y)dy
derivative of \|x\|^{\|x\|}	\frac{d}{dx}(\left\|x\right\|^{\left\|x\right\|})
x(dy)/(dx)+y=-9xy^2	x\frac{dy}{dx}+y=-9xy^{2}
(\partial)/(\partial x)(8/(x^2))	\frac{\partial\:}{\partial\:x}(\frac{8}{x^{2}})
integral of 1/(1-6x)	\int\:\frac{1}{1-6x}dx
derivative of f(x)=3x^2+x+5	derivative\:f(x)=3x^{2}+x+5
derivative of f(x)=-5x^2+2x-6	derivative\:f(x)=-5x^{2}+2x-6
limit as x approaches 0+of (\|x-0\|)/(0-x)	\lim\:_{x\to\:0+}(\frac{\left\|x-0\right\|}{0-x})
integral from 2 to infinity of xe^{-4x}	\int\:_{2}^{\infty\:}xe^{-4x}dx
integral of 3e^{2x^3+3x^2-9}(x^2+x)	\int\:3e^{2x^{3}+3x^{2}-9}(x^{2}+x)dx
integral of (8x^3)/(e^{x^4)}	\int\:\frac{8x^{3}}{e^{x^{4}}}dx
(\partial)/(\partial y)(e^{x^2+y^2-2})	\frac{\partial\:}{\partial\:y}(e^{x^{2}+y^{2}-2})
derivative of 3x^2+2	derivative\:3x^{2}+2
integral from 4 to 14 of 16+(4-x)^2	\int\:_{4}^{14}16+(4-x)^{2}dx
y^'=y+2e^{-e}	y^{\prime\:}=y+2e^{-e}
integral from 0 to 1.5 of 70x	\int\:_{0}^{1.5}70xdx
integral of (xsin(xy))	\int\:(x\sin(xy))dx
derivative of 3/(2x^3)	\frac{d}{dx}(\frac{3}{2x^{3}})
d/(dt)(t/(sqrt(1+t^2)))	\frac{d}{dt}(\frac{t}{\sqrt{1+t^{2}}})
y^'+3.25y=26	y^{\prime\:}+3.25y=26
derivative of axsqrt(b)	\frac{d}{dx}(ax\sqrt{b})
derivative of f(x)=x^{6x}	derivative\:f(x)=x^{6x}
integral of 20sin^3(xco)s^2x	\int\:20\sin^{3}(xco)s^{2}xdx
derivative of f(x)=(2^{5t})/t	derivative\:f(x)=\frac{2^{5t}}{t}
derivative of 4x^3ln(x+x^3)	\frac{d}{dx}(4x^{3}\ln(x)+x^{3})
integral of 1/((5x-4)^{10)}	\int\:\frac{1}{(5x-4)^{10}}dx
y=(-5)^2-9(-5)	y=(-5)^{2}-9(-5)
integral of (2x+7)/(x+3)	\int\:\frac{2x+7}{x+3}dx
integral of 1/(x^2sqrt(x^2-10))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-10}}dx
inverse oflaplace (s+1)/((s+6)^2(s+2))	inverselaplace\:\frac{s+1}{(s+6)^{2}(s+2)}
maclaurin 8/(3x+3)	maclaurin\:\frac{8}{3x+3}
derivative of f(x)=(6cos(x))/(7-9cos(x))	derivative\:f(x)=\frac{6\cos(x)}{7-9\cos(x)}
integral of (1-x+2x^2-x^3)/(x(x^2+1)^2)	\int\:\frac{1-x+2x^{2}-x^{3}}{x(x^{2}+1)^{2}}dx
derivative of cos(2x^2)	derivative\:\cos(2x^{2})
integral from 0 to 2 of (3ln(x))/x	\int\:_{0}^{2}\frac{3\ln(x)}{x}dx
derivative of 1/4 e^x	\frac{d}{dx}(\frac{1}{4}e^{x})
derivative of ln((3+x/(3-x)))	\frac{d}{dx}(\ln(\frac{3+x}{3-x}))
integral from 0 to 1 of (3e^x-3xe^{x^2})	\int\:_{0}^{1}(3e^{x}-3xe^{x^{2}})dx
integral of 8cos(sqrt(x))	\int\:8\cos(\sqrt{x})dx
limit as x approaches pi of (cos^2(x))/x	\lim\:_{x\to\:π}(\frac{\cos^{2}(x)}{x})
(\partial)/(\partial x)(1/2 yx^2)	\frac{\partial\:}{\partial\:x}(\frac{1}{2}yx^{2})
(\partial)/(\partial x)((x^2+y^2)^{1/3})	\frac{\partial\:}{\partial\:x}((x^{2}+y^{2})^{\frac{1}{3}})
derivative of f(x)=arcsin(5x)	derivative\:f(x)=\arcsin(5x)
limit as x approaches 1 of (-1)/(x-1)	\lim\:_{x\to\:1}(\frac{-1}{x-1})
2y^{''}+y^'-3y=0,y(0)=a,y^'(0)=b	2y^{\prime\:\prime\:}+y^{\prime\:}-3y=0,y(0)=a,y^{\prime\:}(0)=b
derivative of 1/(x^7+2)	\frac{d}{dx}(\frac{1}{x^{7}+2})
(\partial)/(\partial x)(x^2+2xy)	\frac{\partial\:}{\partial\:x}(x^{2}+2xy)
integral of 3e^xsin(3x)	\int\:3e^{x}\sin(3x)dx
(\partial)/(\partial x)(sin(x)+y)	\frac{\partial\:}{\partial\:x}(\sin(x)+y)
integral of 2tsqrt(1+t^2)	\int\:2t\sqrt{1+t^{2}}dt
integral of x/((x^2+4x+13)^{3/2)}	\int\:\frac{x}{(x^{2}+4x+13)^{\frac{3}{2}}}dx
derivative of (e^{2x}/(1+x^2))	\frac{d}{dx}(\frac{e^{2x}}{1+x^{2}})
derivative of x/(sqrt(2-x^2))	\frac{d}{dx}(\frac{x}{\sqrt{2-x^{2}}})
tangent of f(x)= x/(x-2),\at x=3	tangent\:f(x)=\frac{x}{x-2},\at\:x=3
slope of (-5.2)(2.5)	slope\:(-5.2)(2.5)
derivative of sin(x+sqrt(x)+5)	\frac{d}{dx}(\sin(x+\sqrt{x})+5)
(\partial)/(\partial x)(6+xln(xy-9))	\frac{\partial\:}{\partial\:x}(6+x\ln(xy-9))
derivative of f(x)=x^2-3x+2	derivative\:f(x)=x^{2}-3x+2
inverse oflaplace (s+1)/((s-1)*(s-2))	inverselaplace\:\frac{s+1}{(s-1)\cdot\:(s-2)}
derivative of tan(θ)sec(θ)	derivative\:\tan(θ)\sec(θ)
integral of (()/1)/(y)	\int\:\frac{\frac{dy}{1}}{y}dx
tangent of f(x)= x/(x-1),\at x=2	tangent\:f(x)=\frac{x}{x-1},\at\:x=2
derivative of (x+1^5)	\frac{d}{dx}((x+1)^{5})
derivative of 2/5 x^{10}	\frac{d}{dx}(\frac{2}{5}x^{10})
derivative of t^3sin(t)	derivative\:t^{3}\sin(t)
derivative of f(x)=4t^{-1/8}	derivative\:f(x)=4t^{-\frac{1}{8}}
integral of 1/(12y-10y^2)	\int\:\frac{1}{12y-10y^{2}}dy
integral of (sin(x))/(x^3)	\int\:\frac{\sin(x)}{x^{3}}dx
derivative of f(x)=cos(cos(cos(x)))	derivative\:f(x)=\cos(\cos(\cos(x)))
sum from n=1 to infinity of 6/((n+1)!)	\sum\:_{n=1}^{\infty\:}\frac{6}{(n+1)!}
y^{''}=a(y^')^2+b	y^{\prime\:\prime\:}=a(y^{\prime\:})^{2}+b
derivative of 4e^{3x}cos(4x)	derivative\:4e^{3x}\cos(4x)
roots xy	roots\:xy
integral of (6x^2-4x+4)/(x^3-x^2+2x)	\int\:\frac{6x^{2}-4x+4}{x^{3}-x^{2}+2x}dx
(dy)/(dx)=(yx-y^2)/(x^2+yx)	\frac{dy}{dx}=\frac{yx-y^{2}}{x^{2}+yx}
derivative of 2pi	\frac{d}{dx}(2π)
integral of e^{cos(4t)}sin(4t)	\int\:e^{\cos(4t)}\sin(4t)dt
limit as x approaches-6 of (x+6)/(\|x+6\|)	\lim\:_{x\to\:-6}(\frac{x+6}{\left\|x+6\right\|})
derivative of x^2*(sin(x)^{-1})	\frac{d}{dx}(x^{2}\cdot\:(\sin(x))^{-1})
integral of (1/((1+4x^2)(arctan(2x))^3))	\int\:(\frac{1}{(1+4x^{2})(\arctan(2x))^{3}})dx
integral of ((2x+3))/((x+7)^3)	\int\:\frac{(2x+3)}{(x+7)^{3}}dx

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