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Popular Calculus Problems

integral of 1/((1-x^2))	\int\:\frac{1}{(1-x^{2})}dx
y^'+3y=xe^{-2x}+e^{-3x}	y^{\prime\:}+3y=xe^{-2x}+e^{-3x}
y^{''}=x(y^')^2	y^{\prime\:\prime\:}=x(y^{\prime\:})^{2}
tangent of x/(1+x^2),\at x=0	tangent\:\frac{x}{1+x^{2}},\at\:x=0
integral of 36xe^{-9x}	\int\:36xe^{-9x}dx
derivative of (2x+1)/(x+5)*(3x-1)	derivative\:\frac{2x+1}{x+5}\cdot\:(3x-1)
derivative of e^{16x}	derivative\:e^{16x}
derivative of sqrt(ln(x^2+3))	\frac{d}{dx}(\sqrt{\ln(x^{2}+3)})
integral of (1)	\int\:(1)dx
limit as x approaches c of 4	\lim\:_{x\to\:c}(4)
integral of sec^2(x)+5	\int\:\sec^{2}(x)+5dx
tangent of f(x)=2x^3+5x^2-2,\at x=-2	tangent\:f(x)=2x^{3}+5x^{2}-2,\at\:x=-2
derivative of ((3t-2)^3)/(t+5)	derivative\:\frac{(3t-2)^{3}}{t+5}
derivative of ((e^{-x}))/x	derivative\:\frac{(e^{-x})}{x}
derivative of cos(arccos(ax^2+bx+c))	\frac{d}{dx}(\cos(\arccos(ax^{2}+bx+c)))
(\partial)/(\partial x)((e^x-4x)sin(y))	\frac{\partial\:}{\partial\:x}((e^{x}-4x)\sin(y))
tangent of y=(x-2)(x^2+4),(1,-5)	tangent\:y=(x-2)(x^{2}+4),(1,-5)
derivative of ln(2)	derivative\:\ln(2)
(dy)/(dx)= y/(x+1)+4x^2+4x	\frac{dy}{dx}=\frac{y}{x+1}+4x^{2}+4x
integral from 4/3 to 4 of 1/(1-x^2)	\int\:_{\frac{4}{3}}^{4}\frac{1}{1-x^{2}}dx
integral of (x^3+1)^2(3x)	\int\:(x^{3}+1)^{2}(3x)dx
tangent of y=(sqrt(x))/(x+9),(1,0.1)	tangent\:y=\frac{\sqrt{x}}{x+9},(1,0.1)
tangent of-2x^{2/3}-4,\at x=8	tangent\:-2x^{\frac{2}{3}}-4,\at\:x=8
derivative of (2x^2-4)^3	derivative\:(2x^{2}-4)^{3}
limit as x approaches 0-of (cot(pix)sin(x))/(2sec(x))	\lim\:_{x\to\:0-}(\frac{\cot(πx)\sin(x)}{2\sec(x)})
sum from n=0 to infinity of 2n-1	\sum\:_{n=0}^{\infty\:}2n-1
(\partial)/(\partial x)(y/(x(x+y)))	\frac{\partial\:}{\partial\:x}(\frac{y}{x(x+y)})
limit as x approaches 7 of (x+8)/(x-7)	\lim\:_{x\to\:7}(\frac{x+8}{x-7})
integral of-1/(2/x y)	\int\:-\frac{1}{\frac{2}{x}y}dy
derivative of sin(tan(5x))	derivative\:\sin(\tan(5x))
derivative of-2(e^{-x^2}-2e^{-x^2}x^2)	\frac{d}{dx}(-2(e^{-x^{2}}-2e^{-x^{2}}x^{2}))
(\partial)/(\partial x)(xy+xz-2yz)	\frac{\partial\:}{\partial\:x}(xy+xz-2yz)
laplacetransform f(x)=x^2	laplacetransform\:f(x)=x^{2}
(\partial)/(\partial x)(ln(x))	\frac{\partial\:}{\partial\:x}(\ln(x))
derivative of tan(5x+1/(2x^2))	\frac{d}{dx}(\tan(5x)+\frac{1}{2x^{2}})
-3y^'+(3y)/x =x^4y^4	-3y^{\prime\:}+\frac{3y}{x}=x^{4}y^{4}
integral of 4/(2x-1)	\int\:\frac{4}{2x-1}dx
derivative of 2xe^{3x}	\frac{d}{dx}(2xe^{3x})
limit as x approaches 6 of 3/(x-6)	\lim\:_{x\to\:6}(\frac{3}{x-6})
derivative of ((x^5-5)/((x+1)))	\frac{d}{dx}(\frac{(x^{5}-5)}{(x+1)})
(\partial)/(\partial y)(x^2y+xy^2)	\frac{\partial\:}{\partial\:y}(x^{2}y+xy^{2})
integral of x(5x^2+4)^3	\int\:x(5x^{2}+4)^{3}dx
slope of (1,2.5),(4,1)	slope\:(1,2.5),(4,1)
integral of 3x^3-12x	\int\:3x^{3}-12xdx
inverse oflaplace 4/(s^2(s+2))	inverselaplace\:\frac{4}{s^{2}(s+2)}
y^{''}-4y=16xe^{2x}	y^{\prime\:\prime\:}-4y=16xe^{2x}
(dy)/(dt)+tan(t)y=3sin(t),y(0)=1	\frac{dy}{dt}+\tan(t)y=3\sin(t),y(0)=1
(dy)/(dx)=(3x^2)/(y(1-x^3))	\frac{dy}{dx}=\frac{3x^{2}}{y(1-x^{3})}
derivative of-32cos(8x)	\frac{d}{dx}(-32\cos(8x))
derivative of (2x+9/(2x))	\frac{d}{dx}(\frac{2x+9}{2x})
derivative of f(x)=x^2+x-2	derivative\:f(x)=x^{2}+x-2
derivative of (cos(x)/(ln(x)))	\frac{d}{dx}(\frac{\cos(x)}{\ln(x)})
integral of cos(x)a^{sin(x)}	\int\:\cos(x)a^{\sin(x)}dx
(\partial)/(\partial x)(x/(yz))	\frac{\partial\:}{\partial\:x}(\frac{x}{yz})
integral of (1/(1+e^x))	\int\:(\frac{1}{1+e^{x}})dx
limit as x approaches infinity of-e^{-ax}	\lim\:_{x\to\:\infty\:}(-e^{-ax})
integral of (x^2)/(sqrt(5+2x^3))	\int\:\frac{x^{2}}{\sqrt{5+2x^{3}}}dx
(\partial)/(\partial x)(sin(2x+3y))	\frac{\partial\:}{\partial\:x}(\sin(2x+3y))
tangent of y=7x-x^2	tangent\:y=7x-x^{2}
integral from-1 to 1 of (10)/(x^2)	\int\:_{-1}^{1}\frac{10}{x^{2}}dx
integral from 3 to 12 of (6x+1)	\int\:_{3}^{12}(6x+1)dx
integral of (1/(x^{10)}-x^{10}-1/3)	\int\:(\frac{1}{x^{10}}-x^{10}-\frac{1}{3})dx
derivative of 4t^3cos(t)	derivative\:4t^{3}\cos(t)
integral from-infinity to 12 of re^{r/3}	\int\:_{-\infty\:}^{12}re^{\frac{r}{3}}dr
(\partial)/(\partial t)(xyz^2tan(yt))	\frac{\partial\:}{\partial\:t}(xyz^{2}\tan(yt))
tangent of x^2+xy-y^2=-9,(3,6)	tangent\:x^{2}+xy-y^{2}=-9,(3,6)
maclaurin (2x)/(1+x^2)	maclaurin\:\frac{2x}{1+x^{2}}
area F(x)=ln(2x),y=0,y=2	area\:F(x)=\ln(2x),y=0,y=2
area 5sin(x),5cos(2x),0, pi/2	area\:5\sin(x),5\cos(2x),0,\frac{π}{2}
integral from-3 to 3 of 1/2 (81-x^4)	\int\:_{-3}^{3}\frac{1}{2}(81-x^{4})dx
derivative of sqrt(25x^2-1)	\frac{d}{dx}(\sqrt{25x^{2}-1})
limit as x approaches pi/4 of tan^{tan(2x)}(x)	\lim\:_{x\to\:\frac{π}{4}}(\tan^{\tan(2x)}(x))
derivative of f(x)=sin(5ln(x))	derivative\:f(x)=\sin(5\ln(x))
(dv)/(dv)	\frac{dv}{dv}
limit as x approaches 0+of x^{19x}	\lim\:_{x\to\:0+}(x^{19x})
derivative of arcsin(6x)+arccos(6x)	derivative\:\arcsin(6x)+\arccos(6x)
derivative of x^4-4x^2+3	\frac{d}{dx}(x^{4}-4x^{2}+3)
tangent of (23)/((8x-1)^2)	tangent\:\frac{23}{(8x-1)^{2}}
derivative of x^7	derivative\:x^{7}
derivative of 5/(\sqrt[3]{x^8})	\frac{d}{dx}(\frac{5}{\sqrt[3]{x^{8}}})
integral of (cos(3x))/(sin^2(3x))	\int\:\frac{\cos(3x)}{\sin^{2}(3x)}dx
area xe^x,1<= x<= 7	area\:xe^{x},1\le\:x\le\:7
(\partial)/(\partial x)(x^2y^{1/3})	\frac{\partial\:}{\partial\:x}(x^{2}y^{\frac{1}{3}})
d/(dt)(e^{-t}-e^{-t}t)	\frac{d}{dt}(e^{-t}-e^{-t}t)
f(x)=e^{xcos(x)}	f(x)=e^{x\cos(x)}
derivative of x/(x^2-8)	derivative\:\frac{x}{x^{2}-8}
integral of x-(1/2)^x	\int\:x-(\frac{1}{2})^{x}dx
limit as x approaches infinity of 4^x-1	\lim\:_{x\to\:\infty\:}(4^{x}-1)
limit as x approaches 3 of ((x^2-9))/(2x-6)	\lim\:_{x\to\:3}(\frac{(x^{2}-9)}{2x-6})
limit as x approaches infinity of (2^x)/(3^{x-1)}	\lim\:_{x\to\:\infty\:}(\frac{2^{x}}{3^{x-1}})
integral of sqrt(2-x)	\int\:\sqrt{2-x}dx
derivative of cos(pi/2 x)	\frac{d}{dx}(\cos(\frac{π}{2}x))
integral from-pi to 0 of x	\int\:_{-π}^{0}xdx
integral of 2e^{x^2}	\int\:2e^{x^{2}}dx
2x^2y^'=y^'+4xe^{-y}	2x^{2}y^{\prime\:}=y^{\prime\:}+4xe^{-y}
limit as x approaches 0 of 1/(2x^2+x)	\lim\:_{x\to\:0}(\frac{1}{2x^{2}+x})
integral of 9/(4+9x)	\int\:\frac{9}{4+9x}dx
integral of y/(sqrt(a^2-y^2))	\int\:\frac{y}{\sqrt{a^{2}-y^{2}}}dy
limit as x approaches 0 of x^2csc(x)	\lim\:_{x\to\:0}(x^{2}\csc(x))
(\partial)/(\partial y)(3x+4y)	\frac{\partial\:}{\partial\:y}(3x+4y)

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