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Popular Calculus Problems

derivative of 1+2cos(x)	\frac{d}{dx}(1+2\cos(x))
derivative of e^{x^2-4}+3x+5	\frac{d}{dx}(e^{x^{2}-4}+3x+5)
limit as x approaches pi/4 of cot(x)	\lim\:_{x\to\:\frac{π}{4}}(\cot(x))
integral from 0 to pi/2 of tan(x)	\int\:_{0}^{\frac{π}{2}}\tan(x)dx
integral of (x^2+1)/((x-10)(x-9)^2)	\int\:\frac{x^{2}+1}{(x-10)(x-9)^{2}}dx
tangent of f(x)=(8-9x)(8+9x),\at x=9	tangent\:f(x)=(8-9x)(8+9x),\at\:x=9
(6+x)y^'=9y	(6+x)y^{\prime\:}=9y
integral from-1 to 3 of sqrt(1+(2y+2)^2)	\int\:_{-1}^{3}\sqrt{1+(2y+2)^{2}}dy
tangent of x^3,\at x=-2	tangent\:x^{3},\at\:x=-2
integral of tan(7xse)c^27x	\int\:\tan(7xse)c^{2}7xdx
integral of e^{-2x}cos(3x)	\int\:e^{-2x}\cos(3x)dx
integral from 0 to pi of 3sin^2(tco)s^4t	\int\:_{0}^{π}3\sin^{2}(tco)s^{4}tdt
derivative of f(x)=(3x^2e^x-4)/(x^2)	derivative\:f(x)=\frac{3x^{2}e^{x}-4}{x^{2}}
limit as x approaches 1-of 2x^4-9x^3+7	\lim\:_{x\to\:1-}(2x^{4}-9x^{3}+7)
((3y)/x-8)dx+3dy=0	(\frac{3y}{x}-8)dx+3dy=0
limit as x approaches 6 of sqrt(36-x^2)	\lim\:_{x\to\:6}(\sqrt{36-x^{2}})
(dv}{dt}=\frac{(10-v))/1	\frac{dv}{dt}=\frac{(10-v)}{1}
integral from 0 to 2 of-10x^3sqrt(x^2+4)	\int\:_{0}^{2}-10x^{3}\sqrt{x^{2}+4}dx
6t(dy)/(dt)+y=t^7	6t\frac{dy}{dt}+y=t^{7}
derivative of 2/(x+2)	derivative\:\frac{2}{x+2}
integral of (8m^2)/((m^3+2)^3)	\int\:\frac{8m^{2}}{(m^{3}+2)^{3}}dm
integral of 2e^2	\int\:2e^{2}
sum from n=1 to infinity of-1/(8^n)	\sum\:_{n=1}^{\infty\:}-\frac{1}{8^{n}}
integral of (x^5)/(sqrt(x^2+3))	\int\:\frac{x^{5}}{\sqrt{x^{2}+3}}dx
derivative of 10(4e^{x^2}x^3+6e^{x^2}x)	derivative\:10(4e^{x^{2}}x^{3}+6e^{x^{2}}x)
9y^{''}+30y^'+25y=0	9y^{\prime\:\prime\:}+30y^{\prime\:}+25y=0
sum from n=0 to infinity of 3-7(0.6)^n	\sum\:_{n=0}^{\infty\:}3-7(0.6)^{n}
derivative of 4/(\sqrt[3]{x)}	derivative\:\frac{4}{\sqrt[3]{x}}
area x+y^2=6,x+y=0	area\:x+y^{2}=6,x+y=0
derivative of y=(x^6-7x+4)(x^4-5x)	derivative\:y=(x^{6}-7x+4)(x^{4}-5x)
(y/x+3x)dx+(ln(x)-2)dy=0	(\frac{y}{x}+3x)dx+(\ln(x)-2)dy=0
integral from 0 to pi of xsin(x)	\int\:_{0}^{π}x\sin(x)dx
(\partial)/(\partial x)((8y)/(x^5))	\frac{\partial\:}{\partial\:x}(\frac{8y}{x^{5}})
f(x)= 1/(2x+1)	f(x)=\frac{1}{2x+1}
tangent of f(x)=(2x-4)/(sqrt(x)),\at x=4	tangent\:f(x)=\frac{2x-4}{\sqrt{x}},\at\:x=4
(\partial)/(\partial x)(t/(a^2t^2-x^2))	\frac{\partial\:}{\partial\:x}(\frac{t}{a^{2}t^{2}-x^{2}})
(dy)/(dx)=2xy^2+128x	\frac{dy}{dx}=2xy^{2}+128x
(dy)/(dx)= 1/2 (y-1)^2,y(0)=2	\frac{dy}{dx}=\frac{1}{2}(y-1)^{2},y(0)=2
(\partial)/(\partial x)(x^2cos(xln(y)))	\frac{\partial\:}{\partial\:x}(x^{2}\cos(x\ln(y)))
integral of 2x^2e^{2x}	\int\:2x^{2}e^{2x}dx
(\partial)/(\partial s)(st)	\frac{\partial\:}{\partial\:s}(st)
tangent of x^4-2x^3+5	tangent\:x^{4}-2x^{3}+5
integral from 0 to t of x	\int\:_{0}^{t}xdx
derivative of cos(3x^7+2)	\frac{d}{dx}(\cos(3x^{7}+2))
integral of sec(4x)	\int\:\sec(4x)dx
derivative of (24/((x-1)^5))	\frac{d}{dx}(\frac{24}{(x-1)^{5}})
(\partial)/(\partial x)(-x^3)	\frac{\partial\:}{\partial\:x}(-x^{3})
limit as x approaches 1 of sqrt(3+x^2)	\lim\:_{x\to\:1}(\sqrt{3+x^{2}})
integral of (sin(θ)cos(θ))/(1+sin^2(θ))	\int\:\frac{\sin(θ)\cos(θ)}{1+\sin^{2}(θ)}dθ
(\partial)/(\partial x)(sqrt(x^3+y^3))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{3}+y^{3}})
(\partial)/(\partial x)(ln(x^2+3y))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+3y))
d/(dt)(2t+7)	\frac{d}{dt}(2t+7)
integral from 1 to 2 of 4/((x-1)^{1/4)}	\int\:_{1}^{2}\frac{4}{(x-1)^{\frac{1}{4}}}dx
limit as x approaches 3+of (3x)/(x-3)	\lim\:_{x\to\:3+}(\frac{3x}{x-3})
limit as x approaches 1 of (x^m-1)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{m}-1}{x-1})
tangent of f(x)=(x^2)/(x-3),\at x=0	tangent\:f(x)=\frac{x^{2}}{x-3},\at\:x=0
ydy=xdx	ydy=xdx
d/(dy)(sqrt(9-y^2))	\frac{d}{dy}(\sqrt{9-y^{2}})
limit as x approaches 2 of 7-2x	\lim\:_{x\to\:2}(7-2x)
integral of x/(x^4+9)	\int\:\frac{x}{x^{4}+9}dx
integral of e^{3x-1}	\int\:e^{3x-1}dx
integral from 0 to 1 of 8x^3	\int\:_{0}^{1}8x^{3}dx
tangent of f(x)= 1/(x^2),\at x=-1	tangent\:f(x)=\frac{1}{x^{2}},\at\:x=-1
limit as x approaches infinity of ln(5)	\lim\:_{x\to\:\infty\:}(\ln(5))
integral from 0 to x of 1/x	\int\:_{0}^{x}\frac{1}{x}dx
derivative of 9cos^2(x)	\frac{d}{dx}(9\cos^{2}(x))
limit as x approaches-1+of x+4	\lim\:_{x\to\:-1+}(x+4)
integral of-tan(y)	\int\:-\tan(y)dy
ty^'=t+y	ty^{\prime\:}=t+y
integral of 1/(sqrt((4+x^2)))	\int\:\frac{1}{\sqrt{(4+x^{2})}}dx
(dy)/(dt)+3y=13sin(2t),y(0)=6	\frac{dy}{dt}+3y=13\sin(2t),y(0)=6
limit as x approaches 3+of (x-4)/(3-x)	\lim\:_{x\to\:3+}(\frac{x-4}{3-x})
derivative of sqrt(u)	derivative\:\sqrt{u}
tangent of f(x)=x^3-3x+1	tangent\:f(x)=x^{3}-3x+1
limit as n approaches infinity of x^{2n}	\lim\:_{n\to\:\infty\:}(x^{2n})
derivative of (x^2-16/(x-4))	\frac{d}{dx}(\frac{x^{2}-16}{x-4})
limit as x approaches 0 of tan(2x)csc(4x)	\lim\:_{x\to\:0}(\tan(2x)\csc(4x))
limit as x approaches pi of (5x)/3	\lim\:_{x\to\:π}(\frac{5x}{3})
integral of y^2e^{-y}	\int\:y^{2}e^{-y}dy
derivative of x^3-3x^2+2x	\frac{d}{dx}(x^{3}-3x^{2}+2x)
laplacetransform e^{-2t}sin(3t)	laplacetransform\:e^{-2t}\sin(3t)
integral of xcsc^2(x)	\int\:x\csc^{2}(x)dx
derivative of x^4cos(7x-5)	derivative\:x^{4}\cos(7x-5)
derivative of 2ay	derivative\:2ay
y^'+3y=2e^{-x}	y^{\prime\:}+3y=2e^{-x}
integral of 1/(x(x^2-4))	\int\:\frac{1}{x(x^{2}-4)}dx
integral of xin(x)	\int\:xin(x)dx
integral from 0 to 1/2 of xsqrt(1-4x^2)	\int\:_{0}^{\frac{1}{2}}x\sqrt{1-4x^{2}}dx
(\partial)/(\partial x)(e^yx)	\frac{\partial\:}{\partial\:x}(e^{y}x)
y^'= x/(200)-y/(100)	y^{\prime\:}=\frac{x}{200}-\frac{y}{100}
maclaurin 2^x	maclaurin\:2^{x}
integral of ysin(x)	\int\:y\sin(x)dx
limit as x approaches pi of sin(7/6 x)	\lim\:_{x\to\:π}(\sin(\frac{7}{6}x))
integral of (x^3+1)^2	\int\:(x^{3}+1)^{2}dx
derivative of ((x^2-2x+3))/((x-1)^2)	derivative\:\frac{(x^{2}-2x+3)}{(x-1)^{2}}
derivative of e^{3x}sin(2x)	\frac{d}{dx}(e^{3x}\sin(2x))
ydx+x^2dy=0	ydx+x^{2}dy=0
integral of ((8x-3)/(sqrt(12x-4x^2-5)))	\int\:(\frac{8x-3}{\sqrt{12x-4x^{2}-5}})dx
integral of (sin(x))/(1+2cos(x))	\int\:\frac{\sin(x)}{1+2\cos(x)}dx
laplacetransform cos^2(3t)	laplacetransform\:\cos^{2}(3t)

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