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Popular Calculus Problems

integral of (x^2-3/x)	\int\:(x^{2}-\frac{3}{x})dx
sum from n=0 to infinity of 1/(3n)	\sum\:_{n=0}^{\infty\:}\frac{1}{3n}
derivative of y=((3x-6))/((x^2+4))	derivative\:y=\frac{(3x-6)}{(x^{2}+4)}
derivative of 9e^x+5	\frac{d}{dx}(9e^{x}+5)
inverse oflaplace (16)/((s+4)^2)	inverselaplace\:\frac{16}{(s+4)^{2}}
(dy)/(dx)-5y=0	\frac{dy}{dx}-5y=0
integral of 1/(sin^2(u))	\int\:\frac{1}{\sin^{2}(u)}du
derivative of (1+x^k)	\frac{d}{dx}((1+x)^{k})
derivative of (5x^2/((x^2+x)^3))	\frac{d}{dx}(\frac{5x^{2}}{(x^{2}+x)^{3}})
slope of (-3,-1),(2,-2)	slope\:(-3,-1),(2,-2)
tangent of h(x)= 1/(x-2),(3,1)	tangent\:h(x)=\frac{1}{x-2},(3,1)
integral of (2xy)/((x^2+y^2)^2)	\int\:\frac{2xy}{(x^{2}+y^{2})^{2}}dx
integral of 4/(sqrt(x))	\int\:\frac{4}{\sqrt{x}}dx
(d^2)/(dx^2)({f}(x){g}(x))	\frac{d^{2}}{dx^{2}}({f}(x){g}(x))
integral of cos(2x)sin(2x)	\int\:\cos(2x)\sin(2x)dx
integral from 0 to pi of 9cos^6(x)	\int\:_{0}^{π}9\cos^{6}(x)dx
integral of sin(x^2-1)	\int\:\sin(x^{2}-1)dx
derivative of (e^x/(1-e^x))	\frac{d}{dx}(\frac{e^{x}}{1-e^{x}})
integral of (5x^2-x+17)/((x+2)(x^2+9))	\int\:\frac{5x^{2}-x+17}{(x+2)(x^{2}+9)}dx
(dy)/(dx)=e^{8x+y}	\frac{dy}{dx}=e^{8x+y}
derivative of f(x)=csc(sqrt(x+5))	derivative\:f(x)=\csc(\sqrt{x+5})
f(x)= 1/(3x+1)	f(x)=\frac{1}{3x+1}
y^'=te^{-y},y(0)=1	y^{\prime\:}=te^{-y},y(0)=1
integral from 0 to 1 of cos(2pix)	\int\:_{0}^{1}\cos(2πx)dx
limit as x approaches 3 of x-1	\lim\:_{x\to\:3}(x-1)
y^{''}+36y=-48sin(6t)	y^{\prime\:\prime\:}+36y=-48\sin(6t)
derivative of x^2+x-6	\frac{d}{dx}(x^{2}+x-6)
derivative of f(x)=(3x^2-4x)e^x	derivative\:f(x)=(3x^{2}-4x)e^{x}
derivative of (x-sqrt(x))(x+sqrt(x))	derivative\:(x-\sqrt{x})(x+\sqrt{x})
limit as x approaches 0 of (1-3/x)^x	\lim\:_{x\to\:0}((1-\frac{3}{x})^{x})
integral of 1/(r^2)	\int\:\frac{1}{r^{2}}dr
integral from-1 to 1 of (x-x^3)	\int\:_{-1}^{1}(x-x^{3})dx
(\partial)/(\partial x)(te^{(-x^2)/(2t)})	\frac{\partial\:}{\partial\:x}(te^{\frac{-x^{2}}{2t}})
limit as x approaches 0 of e^{8pi}	\lim\:_{x\to\:0}(e^{8π})
(\partial)/(\partial z)(2x+z^2)	\frac{\partial\:}{\partial\:z}(2x+z^{2})
limit as x approaches 0 of (x+h)^2-1	\lim\:_{x\to\:0}((x+h)^{2}-1)
integral of ln(2x-1)	\int\:\ln(2x-1)dx
derivative of 2x^3-3x	\frac{d}{dx}(2x^{3}-3x)
derivative of arcsin(y/(sqrt(x^2+y^2)))	\frac{d}{dx}(\arcsin(\frac{y}{\sqrt{x^{2}+y^{2}}}))
integral of (3x-4)/(x^2-2x)	\int\:\frac{3x-4}{x^{2}-2x}dx
integral of 4x^3-3x^2+5	\int\:4x^{3}-3x^{2}+5dx
integral of (3x^2y^{-2}+2xy^{-1})	\int\:(3x^{2}y^{-2}+2xy^{-1})dx
derivative of ((x+1(3x-7))/(3x+1))	\frac{d}{dx}(\frac{(x+1)(3x-7)}{3x+1})
integral from-2 to 2 of (x^2-2)^2	\int\:_{-2}^{2}(x^{2}-2)^{2}dx
derivative of 1-(1-0.01x^3)	\frac{d}{dx}(1-(1-0.01x)^{3})
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}
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 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
(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\|})
(\partial)/(\partial x)(8/(x^2))	\frac{\partial\:}{\partial\:x}(\frac{8}{x^{2}})
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
(\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 of (xsin(xy))	\int\:(x\sin(xy))dx
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 f(x)=x^{6x}	derivative\:f(x)=x^{6x}
integral of 20sin^3(xco)s^2x	\int\:20\sin^{3}(xco)s^{2}xdx
y=(-5)^2-9(-5)	y=(-5)^{2}-9(-5)
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)}
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
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}})
limit as x approaches 1 of (-1)/(x-1)	\lim\:_{x\to\:1}(\frac{-1}{x-1})
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)
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

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