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Popular Calculus Problems

derivative of (7x+3)^2	derivative\:(7x+3)^{2}
y^{''}-4y^'+3y=2cos(3t)	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=2\cos(3t)
derivative of (6x^{6x})	\frac{d}{dx}((6x)^{6x})
integral of (4ln(x))/(x^3)	\int\:\frac{4\ln(x)}{x^{3}}dx
integral from-1 to 1 of e^x-x^2+1	\int\:_{-1}^{1}e^{x}-x^{2}+1dx
integral of (x^2)/(x^2+x^4)	\int\:\frac{x^{2}}{x^{2}+x^{4}}dx
x^2ydx+x^3dy=0	x^{2}ydx+x^{3}dy=0
limit as x approaches-2 of-2x^3-3x^2+8	\lim\:_{x\to\:-2}(-2x^{3}-3x^{2}+8)
y^{'''}+5y^{''}+7y^'-13y=0	y^{\prime\:\prime\:\prime\:}+5y^{\prime\:\prime\:}+7y^{\prime\:}-13y=0
area 2x^2+5x+6,(-2,0)	area\:2x^{2}+5x+6,(-2,0)
integral of (3cos(ln(x)))/x	\int\:\frac{3\cos(\ln(x))}{x}dx
derivative of arctan(4^x)	\frac{d}{dx}(\arctan(4^{x}))
ty^'+3y=t^2-t+7	ty^{\prime\:}+3y=t^{2}-t+7
derivative of e^{(x+y})	\frac{d}{dx}(e^{(x+y)})
derivative of arcsin(ax)	\frac{d}{dx}(\arcsin(ax))
integral of arcsin(cos(x))	\int\:\arcsin(\cos(x))dx
integral from 0 to infinity of 8e^{-8x}	\int\:_{0}^{\infty\:}8e^{-8x}dx
derivative of ln(2x+3)	derivative\:\ln(2x+3)
integral of (4x^2-9x)^5(8x-9)	\int\:(4x^{2}-9x)^{5}(8x-9)dx
sum from n=1 to infinity of n/(e^{4n)}	\sum\:_{n=1}^{\infty\:}\frac{n}{e^{4n}}
derivative of e^9	derivative\:e^{9}
integral of 3x+2y	\int\:3x+2ydy
integral of (x^3)/(2x+1)	\int\:\frac{x^{3}}{2x+1}dx
d/(dy)(2e^{xy^2})	\frac{d}{dy}(2e^{xy^{2}})
y^'=3y+x	y^{\prime\:}=3y+x
derivative of f(x)= x/(1+x)	derivative\:f(x)=\frac{x}{1+x}
integral of (csc^5(ln(x)))/x	\int\:\frac{\csc^{5}(\ln(x))}{x}dx
derivative of (e^x/(5x^2+8))	\frac{d}{dx}(\frac{e^{x}}{5x^{2}+8})
area 3cos(pix),8x^2-2,-0.5,0.5	area\:3\cos(πx),8x^{2}-2,-0.5,0.5
integral from 0 to 1 of e^{-(1+j^2pin)t}	\int\:_{0}^{1}e^{-(1+j^{2}πn)t}dt
integral of 2/(sqrt(3x-7))	\int\:\frac{2}{\sqrt{3x-7}}dx
(\partial)/(\partial x)(((1+y))/((1+x)))	\frac{\partial\:}{\partial\:x}(\frac{(1+y)}{(1+x)})
(d^2)/(dx^2)(sqrt(x)e^{7x})	\frac{d^{2}}{dx^{2}}(\sqrt{x}e^{7x})
integral of (5x^2)/(sqrt(x^2-4))	\int\:\frac{5x^{2}}{\sqrt{x^{2}-4}}dx
sum from n=1 to infinity of 0.45^n	\sum\:_{n=1}^{\infty\:}0.45^{n}
(\partial)/(\partial y)(xy^2-x^3y)	\frac{\partial\:}{\partial\:y}(xy^{2}-x^{3}y)
integral of sqrt(36-t^2)	\int\:\sqrt{36-t^{2}}dt
derivative of f(x)=2x^9ex	derivative\:f(x)=2x^{9}ex
integral of xe^{-4x^2}	\int\:xe^{-4x^{2}}dx
integral of e^{2sqrt(x)}	\int\:e^{2\sqrt{x}}dx
integral of 1/(z^2+4)	\int\:\frac{1}{z^{2}+4}dz
derivative of (sin(x)/(1+2cos(x)))	\frac{d}{dx}(\frac{\sin(x)}{1+2\cos(x)})
integral of (2x)/(sqrt(1-4x^4))	\int\:\frac{2x}{\sqrt{1-4x^{4}}}dx
integral of (z^2)/(z^3+1)	\int\:\frac{z^{2}}{z^{3}+1}dz
derivative of-9(5x^2+4)^{-6}	derivative\:-9(5x^{2}+4)^{-6}
integral of e^{tan(x)}sec^2(x)	\int\:e^{\tan(x)}\sec^{2}(x)dx
d/(dt)(3^t)	\frac{d}{dt}(3^{t})
taylor e^{(x^2)}	taylor\:e^{(x^{2})}
integral of (sqrt(x^2-400))/x	\int\:\frac{\sqrt{x^{2}-400}}{x}dx
(\partial)/(\partial x)(-e^ysin(x)+4y+7yx)	\frac{\partial\:}{\partial\:x}(-e^{y}\sin(x)+4y+7yx)
limit as x approaches 3 of 5/((x-3)^2)	\lim\:_{x\to\:3}(\frac{5}{(x-3)^{2}})
limit as x approaches 2 of 3x^2-5x+2	\lim\:_{x\to\:2}(3x^{2}-5x+2)
e^ydx-e^{-x}dy=0,y(0)=0	e^{y}dx-e^{-x}dy=0,y(0)=0
derivative of f(x)=(x+6)/(e^x)	derivative\:f(x)=\frac{x+6}{e^{x}}
derivative of xcos(y-ycos(x))	\frac{d}{dx}(x\cos(y)-y\cos(x))
tangent of y=6+4x^2-2x^3,\at x=a	tangent\:y=6+4x^{2}-2x^{3},\at\:x=a
integral of (arcsin(7x))/(sqrt(1-49x^2))	\int\:\frac{\arcsin(7x)}{\sqrt{1-49x^{2}}}dx
integral of 1/(x^2+8x)	\int\:\frac{1}{x^{2}+8x}dx
limit as x approaches 1 of (2x+1)/(x+2)	\lim\:_{x\to\:1}(\frac{2x+1}{x+2})
derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y)	\frac{d}{dx}((9x^{2}-3x-10)y^{\prime\:\prime\:}+(x^{2}+x)y^{\prime\:}+(2x-1)y)
(\partial)/(\partial x)(tan(6+2x^2y^3z^2))	\frac{\partial\:}{\partial\:x}(\tan(6+2x^{2}y^{3}z^{2}))
(dy}{dx}=\frac{x-y)/x	\frac{dy}{dx}=\frac{x-y}{x}
(\partial)/(\partial x)(x^2-y^2+5xy)	\frac{\partial\:}{\partial\:x}(x^{2}-y^{2}+5xy)
sum from m=1 to infinity of 3*(1/3)	\sum\:_{m=1}^{\infty\:}3\cdot\:(\frac{1}{3})
integral of (x-3)^2sin(x-3)	\int\:(x-3)^{2}\sin(x-3)dx
integral of 8tan(8x)	\int\:8\tan(8x)dx
limit as x approaches 9 of sqrt(25-x)	\lim\:_{x\to\:9}(\sqrt{25-x})
tangent of f(x)=3x^2-10x	tangent\:f(x)=3x^{2}-10x
derivative of pix^3	derivative\:πx^{3}
derivative of y=e^{2x}tan(2x)	derivative\:y=e^{2x}\tan(2x)
limit as x approaches-1-of g(x)	\lim\:_{x\to\:-1-}(g(x))
limit as x approaches 0 of (e^x+x)^{m/x}	\lim\:_{x\to\:0}((e^{x}+x)^{\frac{m}{x}})
integral of sin(24x)cos(17x)	\int\:\sin(24x)\cos(17x)dx
d/(dt)(pit)	\frac{d}{dt}(πt)
integral of 1/(5-8x)	\int\:\frac{1}{5-8x}dx
derivative of xy^{-1}	\frac{d}{dx}(xy^{-1})
(\partial)/(\partial x)(3ln((2xy)/(5z)))	\frac{\partial\:}{\partial\:x}(3\ln(\frac{2xy}{5z}))
integral of (cos(t))/(2+sin(t))	\int\:\frac{\cos(t)}{2+\sin(t)}dt
d/(dj)(3i+4j)	\frac{d}{dj}(3i+4j)
integral of 2x^2cos(x^3)	\int\:2x^{2}\cos(x^{3})dx
derivative of 2xsqrt(y-1)	\frac{d}{dx}(2x\sqrt{y-1})
limit as x approaches 3 of 2x-8	\lim\:_{x\to\:3}(2x-8)
integral of sqrt(9t^4+4t^2)	\int\:\sqrt{9t^{4}+4t^{2}}dt
(\partial)/(\partial x)(x+y-320)	\frac{\partial\:}{\partial\:x}(x+y-320)
derivative of e^{x^2}y=x	\frac{d}{dx}(e^{x^{2}}y)=x
integral of 5/(x(x-5)^2)	\int\:\frac{5}{x(x-5)^{2}}dx
limit as x approaches pi of xsec(x)	\lim\:_{x\to\:π}(x\sec(x))
derivative of ln^2(x)	derivative\:\ln^{2}(x)
(dy)/(dx)=(x^2)/((y(1+x^2)))	\frac{dy}{dx}=\frac{x^{2}}{(y(1+x^{2}))}
limit as x approaches 0-of 2	\lim\:_{x\to\:0-}(2)
sum from n=0 to infinity of ((2^n))/(9^{2n+1)}	\sum\:_{n=0}^{\infty\:}\frac{(2^{n})}{9^{2n+1}}
integral of 2x^2-3x+2	\int\:2x^{2}-3x+2dx
limit as x approaches pi of sin(x/2)	\lim\:_{x\to\:π}(\sin(\frac{x}{2}))
y^{''}+18y^'+81y=0	y^{\prime\:\prime\:}+18y^{\prime\:}+81y=0
5x^'-4x=0	5x^{\prime\:}-4x=0
y^{''}+10y^'+9y=9	y^{\prime\:\prime\:}+10y^{\prime\:}+9y=9
integral of cos(x)-sin(2x)	\int\:\cos(x)-\sin(2x)dx
derivative of 2ax-1/(x^2)	\frac{d}{dx}(2ax-\frac{1}{x^{2}})
integral of (5x)/(x^2)	\int\:\frac{5x}{x^{2}}dx
(y+x)y^'=y	(y+x)y^{\prime\:}=y

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