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Popular Calculus Problems

(\partial)/(\partial x)(3x^2e^y)	\frac{\partial\:}{\partial\:x}(3x^{2}e^{y})
inverse oflaplace 7/(s+7)	inverselaplace\:\frac{7}{s+7}
area y=x+4,y=-x^2-x+12	area\:y=x+4,y=-x^{2}-x+12
(\partial)/(\partial x)(ye^{xy})	\frac{\partial\:}{\partial\:x}(ye^{xy})
tangent of f(x)= 2/(x+1),\at x=-3	tangent\:f(x)=\frac{2}{x+1},\at\:x=-3
integral of (sqrt(x))/(x^4)	\int\:\frac{\sqrt{x}}{x^{4}}dx
derivative of (e^x-1/x)	\frac{d}{dx}(\frac{e^{x}-1}{x})
integral of 2x^3e^{3x^4}	\int\:2x^{3}e^{3x^{4}}dx
integral from 1 to 2 of x^2+2x	\int\:_{1}^{2}x^{2}+2xdx
integral from 0 to pi of sin(5x)	\int\:_{0}^{π}\sin(5x)dx
tangent of y=(x^3-16x)^{12}	tangent\:y=(x^{3}-16x)^{12}
tangent of 5x-2x^2	tangent\:5x-2x^{2}
limit as x approaches-5-of (x+5)/(x+5)	\lim\:_{x\to\:-5-}(\frac{x+5}{x+5})
integral from 6 to 7 of 1/(x^2-1)	\int\:_{6}^{7}\frac{1}{x^{2}-1}dx
derivative of f(x)=3x-7	derivative\:f(x)=3x-7
integral of 1/(36e^{-7x)+e^{7x}}	\int\:\frac{1}{36e^{-7x}+e^{7x}}dx
limit as x approaches 0-of (1+x/2)^{1/x}	\lim\:_{x\to\:0-}((1+\frac{x}{2})^{\frac{1}{x}})
integral of (x^4)/(x^3)	\int\:\frac{x^{4}}{x^{3}}dx
derivative of e^{ex}	\frac{d}{dx}(e^{ex})
limit as x approaches+(-infinity)+of-2	\lim\:_{x\to\:+(-\infty\:)+}(-2)
integral of (4-x)/(sqrt(16-x^2))	\int\:\frac{4-x}{\sqrt{16-x^{2}}}dx
derivative of {r}(h,t,xi{g}(h,t,x)ht)	\frac{d}{dx}({r}(h,t,x)i{g}(h,t,x)ht)
integral of (x+1)^2*x^2	\int\:(x+1)^{2}\cdot\:x^{2}dx
derivative of f(x)=\sqrt[5]{(9x^7+3x^4-2)^3}	derivative\:f(x)=\sqrt[5]{(9x^{7}+3x^{4}-2)^{3}}
derivative of 3^{xlog_{2}(x^4})	\frac{d}{dx}(3^{x\log_{2}(x^{4})})
derivative of ln(nx+10)	\frac{d}{dx}(\ln(nx+10))
limit as x approaches 0+of x^{4/x}	\lim\:_{x\to\:0+}(x^{\frac{4}{x}})
limit as x approaches 0 of sin(7x)	\lim\:_{x\to\:0}(\sin(7x))
integral of (x^4+5x-3)/(x^2)	\int\:\frac{x^{4}+5x-3}{x^{2}}dx
integral of (sqrt(x^2+a^2))/x	\int\:\frac{\sqrt{x^{2}+a^{2}}}{x}dx
derivative of (3x^6-2x^4^4)	\frac{d}{dx}((3x^{6}-2x^{4})^{4})
integral from 0 to 1 of (43)/(4y-1)	\int\:_{0}^{1}\frac{43}{4y-1}dy
integral of x^{-7}	\int\:x^{-7}dx
integral of (2x)/((x^2+1)ln(x^2+1))	\int\:\frac{2x}{(x^{2}+1)\ln(x^{2}+1)}dx
derivative of f(x)= x/(9x+7)	derivative\:f(x)=\frac{x}{9x+7}
derivative of (y^3)/(39)+(13)/(4y)	derivative\:\frac{y^{3}}{39}+\frac{13}{4y}
derivative of sin(tan(4x))	derivative\:\sin(\tan(4x))
(x+4)(y^2+1)dx+y(x^2+3x+2)dy=0	(x+4)(y^{2}+1)dx+y(x^{2}+3x+2)dy=0
integral from 0 to 0.5 of 125x	\int\:_{0}^{0.5}125xdx
integral of 6x(x^2+1)2	\int\:6x(x^{2}+1)2dx
limit as x approaches 9-of 1/((x-9)^2)	\lim\:_{x\to\:9-}(\frac{1}{(x-9)^{2}})
derivative of 3x^2y-2yx^2+4x-5y	\frac{d}{dx}(3x^{2}y-2yx^{2}+4x-5y)
integral of 1/(xsqrt(36-x^2))	\int\:\frac{1}{x\sqrt{36-x^{2}}}dx
limit as x approaches-pi of cot(x)	\lim\:_{x\to\:-π}(\cot(x))
inverse oflaplace 1/((s^2(s+1)))	inverselaplace\:\frac{1}{(s^{2}(s+1))}
integral of x/((x^2+5)^2)	\int\:\frac{x}{(x^{2}+5)^{2}}dx
integral of (6xsqrt(2x^2-7))/5	\int\:\frac{6x\sqrt{2x^{2}-7}}{5}dx
derivative of 3/(2x-1)	\frac{d}{dx}(\frac{3}{2x-1})
derivative of (4x^2-13^{-11})	\frac{d}{dx}((4x^{2}-13)^{-11})
integral of ((x^2))/(9+x^6)	\int\:\frac{(x^{2})}{9+x^{6}}dx
derivative of x^{-11}	\frac{d}{dx}(x^{-11})
integral of (10)/((5-4x-x^2)^{5/2)}	\int\:\frac{10}{(5-4x-x^{2})^{\frac{5}{2}}}dx
y^{''}+y=2	y^{\prime\:\prime\:}+y=2
y^{''}+y^'-12y=0	y^{\prime\:\prime\:}+y^{\prime\:}-12y=0
(\partial ^2)/(\partial {u)(v)\partial v}({u}(v)(v)^2e^{-v})	\frac{\partial\:^{2}}{\partial\:{u}(v)\partial\:v}({u}(v)(v)^{2}e^{-v})
derivative of e^x(2x^2-4x+4)	\frac{d}{dx}(e^{x}(2x^{2}-4x+4))
sum from n=1 to infinity of 5/([pi^2])	\sum\:_{n=1}^{\infty\:}\frac{5}{[π^{2}]}
derivative of sin(x-sin^2(x))	\frac{d}{dx}(\sin(x)-\sin^{2}(x))
tangent of f(x)=8x^4,\at x=2	tangent\:f(x)=8x^{4},\at\:x=2
derivative of y=x^3(2x-5)^4	derivative\:y=x^{3}(2x-5)^{4}
derivative of 2x^2-7	\frac{d}{dx}(2x^{2}-7)
-e^xy(dy)/(dx)=e^{-y}+e^{-2x-y}	-e^{x}y\frac{dy}{dx}=e^{-y}+e^{-2x-y}
derivative of x/(e^{x^2})	\frac{d}{dx}(\frac{x}{e^{x^{2}}})
integral of (x^2)/((1+x^2)^2)	\int\:\frac{x^{2}}{(1+x^{2})^{2}}dx
integral of sin^4(xco)s^3x	\int\:\sin^{4}(xco)s^{3}xdx
integral of (4x-2)	\int\:(4x-2)dx
derivative of-(sin(ln(x))/x)	\frac{d}{dx}(-\frac{\sin(\ln(x))}{x})
x^2y^'+4xy-y^3=0	x^{2}y^{\prime\:}+4xy-y^{3}=0
tangent of f(x)=x^2-2x+4,\at x=1	tangent\:f(x)=x^{2}-2x+4,\at\:x=1
derivative of-x^2y	\frac{d}{dx}(-x^{2}y)
derivative of sqrt(3-6x)	derivative\:\sqrt{3-6x}
y^{''}-2y^'+y=6e^x	y^{\prime\:\prime\:}-2y^{\prime\:}+y=6e^{x}
integral from 0 to 4 of 5x-x^2-x	\int\:_{0}^{4}5x-x^{2}-xdx
(\partial)/(\partial x)(ln(5+x^2y^2))	\frac{\partial\:}{\partial\:x}(\ln(5+x^{2}y^{2}))
integral of 3sqrt(x)+1/(sqrt(x))-1/x	\int\:3\sqrt{x}+\frac{1}{\sqrt{x}}-\frac{1}{x}dx
integral of 1/(xsqrt(x^2-25))	\int\:\frac{1}{x\sqrt{x^{2}-25}}dx
limit as h approaches 0 of (3^h-1)/h	\lim\:_{h\to\:0}(\frac{3^{h}-1}{h})
tangent of f(x)= 1/(sqrt(x)),\at x=25	tangent\:f(x)=\frac{1}{\sqrt{x}},\at\:x=25
derivative of f(x)=(4x-3)^{1/2}	derivative\:f(x)=(4x-3)^{\frac{1}{2}}
y^{''}+y=-sin(2x),y(0)=0	y^{\prime\:\prime\:}+y=-\sin(2x),y(0)=0
integral of 1/(11x-5)	\int\:\frac{1}{11x-5}dx
4y^{''}+28y=0	4y^{\prime\:\prime\:}+28y=0
(\partial)/(\partial x)({f}(x,y)x(x,y))	\frac{\partial\:}{\partial\:x}({f}(x,y)x(x,y))
(dy}{dx}=\frac{x+y+1)/x	\frac{dy}{dx}=\frac{x+y+1}{x}
derivative of arctan(((x-1)/((x+1))))	\frac{d}{dx}(\arctan(\frac{(x-1)}{(x+1)}))
limit as x approaches 1-of g(x)	\lim\:_{x\to\:1-}(g(x))
derivative of-5/(x^3*e^{-3x^4+4x^2})	\frac{d}{dx}(-\frac{5}{x^{3}}\cdot\:e^{-3x^{4}+4x^{2}})
tangent of f(x)=((x^2-1))/(4x+1),\at x=1	tangent\:f(x)=\frac{(x^{2}-1)}{4x+1},\at\:x=1
derivative of 6/(ln(x))	derivative\:\frac{6}{\ln(x)}
limit as x approaches 0 of (e^{-x}-1)/x	\lim\:_{x\to\:0}(\frac{e^{-x}-1}{x})
integral of (2x+3)/(x^2(x+5)(x^2+1)^2)	\int\:\frac{2x+3}{x^{2}(x+5)(x^{2}+1)^{2}}dx
(\partial)/(\partial x)(sin(y-x))	\frac{\partial\:}{\partial\:x}(\sin(y-x))
taylor e^{x^3}	taylor\:e^{x^{3}}
integral of (2x-5)/(sqrt(x^2-10x+50))	\int\:\frac{2x-5}{\sqrt{x^{2}-10x+50}}dx
laplacetransform 6t^3	laplacetransform\:6t^{3}
x^2y^'+2xy=17cos^2(x)	x^{2}y^{\prime\:}+2xy=17\cos^{2}(x)
derivative of (x-9)e^x	derivative\:(x-9)e^{x}
integral of (sin^3(x))/(1-cos^2(x))	\int\:\frac{\sin^{3}(x)}{1-\cos^{2}(x)}dx
integral of u^{1/3}	\int\:u^{\frac{1}{3}}du
(\partial)/(\partial x)(sin(x)-cos(xy))	\frac{\partial\:}{\partial\:x}(\sin(x)-\cos(xy))

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