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Popular Calculus Problems

derivative of x^{13}	derivative\:x^{13}
implicit (dy)/(dx),(7xy+3)^2=14y	implicit\:\frac{dy}{dx},(7xy+3)^{2}=14y
y^'-y=xy^2	y^{\prime\:}-y=xy^{2}
(\partial)/(\partial x)(1/(x^{-1)+4y^{-1}})	\frac{\partial\:}{\partial\:x}(\frac{1}{x^{-1}+4y^{-1}})
integral of x^3+2x^2	\int\:x^{3}+2x^{2}dx
integral of 729x^2cos(9x)	\int\:729x^{2}\cos(9x)dx
derivative of (2x/(x^2+y^4))	\frac{d}{dx}(\frac{2x}{x^{2}+y^{4}})
(\partial)/(\partial x)(x^2-xy^3+1)	\frac{\partial\:}{\partial\:x}(x^{2}-xy^{3}+1)
(\partial)/(\partial x)(x^2+8y^2+9z^2)	\frac{\partial\:}{\partial\:x}(x^{2}+8y^{2}+9z^{2})
y^{''}-2y^'-3y=-7te^{-t}	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=-7te^{-t}
taylor ln(cos(x)+sin(x))	taylor\:\ln(\cos(x)+\sin(x))
integral of tan^4(xco)s^5x	\int\:\tan^{4}(xco)s^{5}x
integral of ((7+sqrt(x)+x))/x	\int\:\frac{(7+\sqrt{x}+x)}{x}dx
(dy)/(dx)=y+a	\frac{dy}{dx}=y+a
derivative of sqrt(x)+\sqrt[6]{x}	derivative\:\sqrt{x}+\sqrt[6]{x}
integral of 9x(x^8-1/9)	\int\:9x(x^{8}-\frac{1}{9})dx
derivative of e^x(x+1)	derivative\:e^{x}(x+1)
integral of e^{-5}	\int\:e^{-5}dx
integral from 6 to 8 of (58)/((x-6)^3)	\int\:_{6}^{8}\frac{58}{(x-6)^{3}}dx
derivative of sqrt(x^2-y^2)	\frac{d}{dx}(\sqrt{x^{2}-y^{2}})
integral of (x^2-2x)/((x-1)^2)	\int\:\frac{x^{2}-2x}{(x-1)^{2}}dx
limit as x approaches 2 of (2x-5)/(x+7)	\lim\:_{x\to\:2}(\frac{2x-5}{x+7})
(\partial)/(\partial z)(4xy)	\frac{\partial\:}{\partial\:z}(4xy)
integral from 0 to 1 of e	\int\:_{0}^{1}e
integral of 2/(2x-3)	\int\:\frac{2}{2x-3}dx
integral from 3 to-1 of x^2	\int\:_{3}^{-1}x^{2}dx
limit as x approaches-3 of (3/x+1)/(x+3)	\lim\:_{x\to\:-3}(\frac{\frac{3}{x}+1}{x+3})
(dy)/(dx)=2y+x^2+5	\frac{dy}{dx}=2y+x^{2}+5
y^'+3/2 y=1-1/3 t	y^{\prime\:}+\frac{3}{2}y=1-\frac{1}{3}t
derivative of (3x^2-9^{-13})	\frac{d}{dx}((3x^{2}-9)^{-13})
(dy)/(dx)+(4/x)y=4x+9	\frac{dy}{dx}+(\frac{4}{x})y=4x+9
limit as x approaches 3-of 1/((3-x)^2)	\lim\:_{x\to\:3-}(\frac{1}{(3-x)^{2}})
laplacetransform 2e^{4t}	laplacetransform\:2e^{4t}
tangent of x^4	tangent\:x^{4}
derivative of f(x)=(3x-x^3)(7x+6)	derivative\:f(x)=(3x-x^{3})(7x+6)
limit as x approaches 5 of 1/(x^2)	\lim\:_{x\to\:5}(\frac{1}{x^{2}})
integral of 2xe^{2x}	\int\:2xe^{2x}dx
integral of (2x-1)/(x+1)	\int\:\frac{2x-1}{x+1}dx
limit as x approaches 2 of (3x)/(4-x^2)	\lim\:_{x\to\:2}(\frac{3x}{4-x^{2}})
integral from 1 to 2 of (x^5+5x^8)/(x^4)	\int\:_{1}^{2}\frac{x^{5}+5x^{8}}{x^{4}}dx
inverse oflaplace ((s/2-1))/(s^2+3s+2)	inverselaplace\:\frac{(\frac{s}{2}-1)}{s^{2}+3s+2}
(\partial)/(\partial y)(x/(3+y))	\frac{\partial\:}{\partial\:y}(\frac{x}{3+y})
(\partial)/(\partial t)(ke^{-t/(R(t)C)})	\frac{\partial\:}{\partial\:t}(ke^{-\frac{t}{R(t)C}})
d/(dt)(8t^3)	\frac{d}{dt}(8t^{3})
derivative of ln(x^2+sqrt(x^2+1))	\frac{d}{dx}(\ln(x^{2}+\sqrt{x^{2}+1}))
integral of 1/(sqrt(1-2x^2))	\int\:\frac{1}{\sqrt{1-2x^{2}}}dx
derivative of x^{1/3}+2x	\frac{d}{dx}(x^{\frac{1}{3}}+2x)
integral from 0 to 9 of sqrt(x)	\int\:_{0}^{9}\sqrt{x}dx
tangent of f(x)=x^4+2x^2,\at x=1	tangent\:f(x)=x^{4}+2x^{2},\at\:x=1
(dy)/(dx)(x^2+3)=xy	\frac{dy}{dx}(x^{2}+3)=xy
integral of (sqrt(16x^2-49))/(x^3)	\int\:\frac{\sqrt{16x^{2}-49}}{x^{3}}dx
derivative of ((y-3))/(y^2-3y+9)	derivative\:\frac{(y-3)}{y^{2}-3y+9}
y^{''}+4y=t-2sin(2t)	y^{\prime\:\prime\:}+4y=t-2\sin(2t)
d/(dy)(x^2ysin^3(xy^2))	\frac{d}{dy}(x^{2}y\sin^{3}(xy^{2}))
limit as x approaches 0 of arcsin(e^x)	\lim\:_{x\to\:0}(\arcsin(e^{x}))
derivative of ((sqrt(x)-1)/(sqrt(x)+1))	\frac{d}{dx}(\frac{(\sqrt{x}-1)}{\sqrt{x}+1})
derivative of (5x^4/(sqrt(2-x^2)))	\frac{d}{dx}(\frac{5x^{4}}{\sqrt{2-x^{2}}})
limit as x approaches infinity of (sqrt(x^2-9))/(2x-6)	\lim\:_{x\to\:\infty\:}(\frac{\sqrt{x^{2}-9}}{2x-6})
y^'-ytan(x)=cos(x)	y^{\prime\:}-y\tan(x)=\cos(x)
(\partial)/(\partial s)(sin(s+t))	\frac{\partial\:}{\partial\:s}(\sin(s+t))
y^{''}-8y^'+16y=e^{4x}	y^{\prime\:\prime\:}-8y^{\prime\:}+16y=e^{4x}
tangent of 2/5 x^2+1/4 x-1	tangent\:\frac{2}{5}x^{2}+\frac{1}{4}x-1
derivative of 4x^2+6x	\frac{d}{dx}(4x^{2}+6x)
taylor 8x^4-x^2+9x+2	taylor\:8x^{4}-x^{2}+9x+2
integral of ln(sqrt(11)x)	\int\:\ln(\sqrt{11}x)dx
(\partial)/(\partial s)(sqrt(s^6+t^6))	\frac{\partial\:}{\partial\:s}(\sqrt{s^{6}+t^{6}})
integral from 0 to 2 of pi(x)^2	\int\:_{0}^{2}π(x)^{2}dx
(df)/(dx)+2f=fx^3	\frac{df}{dx}+2f=fx^{3}
integral from 5 to 6 of 1/(6x-1)	\int\:_{5}^{6}\frac{1}{6x-1}dx
sum from n=0 to infinity of (1/3)^n	\sum\:_{n=0}^{\infty\:}(\frac{1}{3})^{n}
integral of (3t^2+3)/(t-1)	\int\:\frac{3t^{2}+3}{t-1}dt
area 2x^2+3,x,(-1,2)	area\:2x^{2}+3,x,(-1,2)
derivative of 1/(sqrt(1+5x^2))	\frac{d}{dx}(\frac{1}{\sqrt{1+5x^{2}}})
integral from-2 to 2 of pi(4-x^2)	\int\:_{-2}^{2}π(4-x^{2})dx
integral of 3sin(x)cos^2(x)	\int\:3\sin(x)\cos^{2}(x)dx
(y+4)*y^'=2xy+4y,y(2)=1	(y+4)\cdot\:y^{\prime\:}=2xy+4y,y(2)=1
derivative of ln(3x^2-x)	\frac{d}{dx}(\ln(3x^{2}-x))
limit as x approaches+9-of (-7)/((x+9))	\lim\:_{x\to\:+9-}(\frac{-7}{(x+9)})
integral of sin^3(t)cos(t)	\int\:\sin^{3}(t)\cos(t)dt
derivative of 1/3 (y^2+2)^{3/2}	derivative\:\frac{1}{3}(y^{2}+2)^{\frac{3}{2}}
derivative of ln(2ln(x))	\frac{d}{dx}(\ln(2\ln(x)))
integral of 2e^5	\int\:2e^{5}dx
integral of (x^3-2)	\int\:(x^{3}-2)dx
derivative of (3x+1^4)	\frac{d}{dx}((3x+1)^{4})
integral of (10sin(x))/(-3+6cos(x))	\int\:\frac{10\sin(x)}{-3+6\cos(x)}dx
derivative of (\|x\|dx)	\frac{d}{dx}((\left\|x\right\|)dx)
derivative of 1/(3x)	derivative\:\frac{1}{3x}
derivative of x^{6/7}	derivative\:x^{\frac{6}{7}}
integral of x^8e^{x^9}	\int\:x^{8}e^{x^{9}}dx
derivative of (x^2/(4^x))	\frac{d}{dx}(\frac{x^{2}}{4^{x}})
integral of (\sqrt[4]{x})	\int\:(\sqrt[4]{x})dx
(dx)/(dy)+3xy^3=0	\frac{dx}{dy}+3xy^{3}=0
tangent of 3y^2-2x^2=6-2xy,(3,2)	tangent\:3y^{2}-2x^{2}=6-2xy,(3,2)
area y=x^2-11,y=10x	area\:y=x^{2}-11,y=10x
derivative of (x-3/(x+3))	\frac{d}{dx}(\frac{x-3}{x+3})
integral of (x^2)/((-x+1)(x+1))	\int\:\frac{x^{2}}{(-x+1)(x+1)}dx
integral from 0 to 1 of (37)/(4y-1)	\int\:_{0}^{1}\frac{37}{4y-1}dy
integral from 0 to sqrt(3 of)arctan(x)	\int\:_{0}^{\sqrt{3}}\arctan(x)dx
(\partial)/(\partial x)(-sin(x)-sin(2y))	\frac{\partial\:}{\partial\:x}(-\sin(x)-\sin(2y))
integral of cos(x)+xcos(y)-y	\int\:\cos(x)+x\cos(y)-ydy

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