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Popular Calculus Problems

tangent of y-x^2y=2-2x^3	tangent\:y-x^{2}y=2-2x^{3}
integral of 7/(x^2sqrt(x^2+25))	\int\:\frac{7}{x^{2}\sqrt{x^{2}+25}}dx
(dy)/(dx)=(y-1)^2	\frac{dy}{dx}=(y-1)^{2}
(dy)/(dt)=6y^2	\frac{dy}{dt}=6y^{2}
tangent of f(x)=ln(x)	tangent\:f(x)=\ln(x)
derivative of f(x)=4x+1	derivative\:f(x)=4x+1
limit as x approaches 0-of x^2(sin(1/x))	\lim\:_{x\to\:0-}(x^{2}(\sin(\frac{1}{x})))
derivative of (2x+1/(x+5))	\frac{d}{dx}(\frac{2x+1}{x+5})
integral of (7/x-6/(x^3))	\int\:(\frac{7}{x}-\frac{6}{x^{3}})dx
limit as (x,y) approaches (1,-1) of (e^{-xy})(cos(x+y))	\lim\:_{(x,y)\to\:(1,-1)}((e^{-xy})(\cos(x+y)))
integral of+2x^2sec^2(x^3+1)	\int\:+2x^{2}\sec^{2}(x^{3}+1)dx
integral of xsqrt(1+2x)	\int\:x\sqrt{1+2x}dx
integral from 0 to 3 of 1/(5x+1)	\int\:_{0}^{3}\frac{1}{5x+1}dx
integral from 0 to 5 of (5x-1)	\int\:_{0}^{5}(5x-1)dx
integral of (e^x-e^{-x})/(e^x-e^{-x)}	\int\:\frac{e^{x}-e^{-x}}{e^{x}-e^{-x}}dx
derivative of y=\|x\|	derivative\:y=\left\|x\right\|
tangent of sqrt(7x+1),\at x=9	tangent\:\sqrt{7x+1},\at\:x=9
laplacetransform cos(t)	laplacetransform\:\cos(t)
limit as x approaches 0 of 1-sin^2(x)	\lim\:_{x\to\:0}(1-\sin^{2}(x))
integral of (cos(2x))^2	\int\:(\cos(2x))^{2}dx
integral of ((x-2))/(sqrt(x))	\int\:\frac{(x-2)}{\sqrt{x}}dx
limit as x approaches infinity of x*(-1)	\lim\:_{x\to\:\infty\:}(x\cdot\:(-1))
integral of (5-x)^2	\int\:(5-x)^{2}dx
tangent of f(x)=x^2-2x-4,\at x=2	tangent\:f(x)=x^{2}-2x-4,\at\:x=2
(\partial)/(\partial t)(sin(x-at))	\frac{\partial\:}{\partial\:t}(\sin(x-at))
laplacetransform cos(2t)(1+e^{-3t})	laplacetransform\:\cos(2t)(1+e^{-3t})
derivative of (x^3+1^5)	\frac{d}{dx}((x^{3}+1)^{5})
(\partial)/(\partial x)(e^{-1/x})	\frac{\partial\:}{\partial\:x}(e^{-\frac{1}{x}})
-3x^2y+y^'=-9x^2	-3x^{2}y+y^{\prime\:}=-9x^{2}
integral from-8 to 0 of 2+sqrt(64-x^2)	\int\:_{-8}^{0}2+\sqrt{64-x^{2}}dx
tangent of y= 2/(x-2),(4,1)	tangent\:y=\frac{2}{x-2},(4,1)
d/(dt)(t^2+t)	\frac{d}{dt}(t^{2}+t)
(dy)/(dx)-9/x y=(y^5)/(x^{18)},y(1)=1	\frac{dy}{dx}-\frac{9}{x}y=\frac{y^{5}}{x^{18}},y(1)=1
derivative of y=(-12)/(\sqrt[3]{x)}	derivative\:y=\frac{-12}{\sqrt[3]{x}}
derivative of f(x)=(3cos(x))/(3x^2+3x-1)	derivative\:f(x)=\frac{3\cos(x)}{3x^{2}+3x-1}
derivative of ln(cx)	\frac{d}{dx}(\ln(cx))
derivative of a{r}(xc,(ln(x)))	\frac{d}{dx}(a{r}(x)c,(\ln(x)))
integral of sqrt(x)(x^2-2)	\int\:\sqrt{x}(x^{2}-2)dx
derivative of 1/(4x^2+5x)	derivative\:\frac{1}{4x^{2}+5x}
limit as x approaches infinity of \sqrt[3]{x^2}*e^{-x}	\lim\:_{x\to\:\infty\:}(\sqrt[3]{x^{2}}\cdot\:e^{-x})
tangent of f(x)=8x^2-x^3,(1,7)	tangent\:f(x)=8x^{2}-x^{3},(1,7)
taylor (x-5)^{7/3}	taylor\:(x-5)^{\frac{7}{3}}
limit as x approaches 3 of 2/((x-3))	\lim\:_{x\to\:3}(\frac{2}{(x-3)})
slope of x^2+4x-1	slope\:x^{2}+4x-1
(\partial)/(\partial x)(2xy+5y^2-3xy^3)	\frac{\partial\:}{\partial\:x}(2xy+5y^{2}-3xy^{3})
limit as x approaches 1 of e^{5x^4-5x}	\lim\:_{x\to\:1}(e^{5x^{4}-5x})
(\partial)/(\partial x)(x^3y+z^2x-zy^2)	\frac{\partial\:}{\partial\:x}(x^{3}y+z^{2}x-zy^{2})
limit as x approaches 0 of ((sin(5x)))/x	\lim\:_{x\to\:0}(\frac{(\sin(5x))}{x})
integral of (cos(t))/t	\int\:\frac{\cos(t)}{t}dt
(dy)/(dx)=x(y-1)^2	\frac{dy}{dx}=x(y-1)^{2}
tangent of y=(x^3-16x)^{10},(4,0)	tangent\:y=(x^{3}-16x)^{10},(4,0)
limit as x approaches 0 of e^x-1/x	\lim\:_{x\to\:0}(e^{x}-\frac{1}{x})
integral from 0 to 5 of e^{-2x}	\int\:_{0}^{5}e^{-2x}dx
f(x)= 2/(x-3)	f(x)=\frac{2}{x-3}
(x^2-3y^2)dx+2xydy=0	(x^{2}-3y^{2})dx+2xydy=0
limit as x approaches pi of sin(11/6 x)	\lim\:_{x\to\:π}(\sin(\frac{11}{6}x))
integral of sin^5(7x)	\int\:\sin^{5}(7x)dx
(dy)/(dx)=32x^3y^3	\frac{dy}{dx}=32x^{3}y^{3}
limit as x approaches 0 of (1-1/(2x))^x	\lim\:_{x\to\:0}((1-\frac{1}{2x})^{x})
d/(dy)(ye^x+2e^x+y^2)	\frac{d}{dy}(ye^{x}+2e^{x}+y^{2})
integral of sqrt((2x+1)^5)	\int\:\sqrt{(2x+1)^{5}}dx
inverse oflaplace (-2)/((s^2+1)^2)	inverselaplace\:\frac{-2}{(s^{2}+1)^{2}}
integral from 0 to pi of sin^4(3t)	\int\:_{0}^{π}\sin^{4}(3t)dt
integral of 40x^3+20	\int\:40x^{3}+20dx
integral of 20-sqrt((20)^2-x^2)	\int\:20-\sqrt{(20)^{2}-x^{2}}dx
integral of (4x^3+3^x)	\int\:(4x^{3}+3^{x})dx
integral of ((e^x-2)e^x)/(e^x+1)	\int\:\frac{(e^{x}-2)e^{x}}{e^{x}+1}dx
(d^2)/(dx^2)(sqrt(x))	\frac{d^{2}}{dx^{2}}(\sqrt{x})
area sqrt(x),-x,1,4	area\:\sqrt{x},-x,1,4
derivative of sin(2x)	derivative\:\sin(2x)
integral of x+(x^2)/2+(5x^3)/3	\int\:x+\frac{x^{2}}{2}+\frac{5x^{3}}{3}dx
integral from 0 to infinity of 5/(x^2+1)	\int\:_{0}^{\infty\:}\frac{5}{x^{2}+1}dx
integral of 1/(x-8)	\int\:\frac{1}{x-8}dx
sum from n=1 to infinity of (cos(29))^n	\sum\:_{n=1}^{\infty\:}(\cos(29))^{n}
derivative of e^{2/x}	derivative\:e^{\frac{2}{x}}
(d^2)/(dx^2)(1/(3+x))	\frac{d^{2}}{dx^{2}}(\frac{1}{3+x})
derivative of f(x)=(x^2+3)^4	derivative\:f(x)=(x^{2}+3)^{4}
integral of 1/((1-x)^3sqrt(x^2-2x-1))	\int\:\frac{1}{(1-x)^{3}\sqrt{x^{2}-2x-1}}dx
derivative of \sqrt[3]{x}+2sqrt(x^3)	derivative\:\sqrt[3]{x}+2\sqrt{x^{3}}
integral of 1/(sqrt(3x-x^2))	\int\:\frac{1}{\sqrt{3x-x^{2}}}dx
5(dx)/(dt)+10x=120sin(60t)	5\frac{dx}{dt}+10x=120\sin(60t)
tangent of f(x)= 1/(x-2),\at x=6	tangent\:f(x)=\frac{1}{x-2},\at\:x=6
integral of 1/(2sin(x)-cos(x)+5)	\int\:\frac{1}{2\sin(x)-\cos(x)+5}dx
derivative of (sqrt(5)^x)	\frac{d}{dx}((\sqrt{5})^{x})
(\partial)/(\partial x)(x^n)	\frac{\partial\:}{\partial\:x}(x^{n})
derivative of y=\sqrt[3]{x}(2+x)	derivative\:y=\sqrt[3]{x}(2+x)
(\partial)/(\partial x)(xe^{y^2})	\frac{\partial\:}{\partial\:x}(xe^{y^{2}})
(2sqrt(t^2+1))^'	(2\sqrt{t^{2}+1})^{\prime\:}
derivative of 14e^x	\frac{d}{dx}(14e^{x})
integral of arccot(3x)	\int\:\arccot(3x)dx
y^{''}-2y^'+y=12e^{3t}	y^{\prime\:\prime\:}-2y^{\prime\:}+y=12e^{3t}
y^'+y=6	y^{\prime\:}+y=6
tangent of y= x/(x+3),(1,2)	tangent\:y=\frac{x}{x+3},(1,2)
derivative of 3x^2+3	\frac{d}{dx}(3x^{2}+3)
tangent of 6/(sqrt(x))	tangent\:\frac{6}{\sqrt{x}}
tangent of 1/(3x^2+1)	tangent\:\frac{1}{3x^{2}+1}
sum from n=1 to infinity of n^{-2/3}	\sum\:_{n=1}^{\infty\:}n^{-\frac{2}{3}}
laplacetransform 2(t-3)^2+9(t-3)+11	laplacetransform\:2(t-3)^{2}+9(t-3)+11
derivative of y=3e^{4x}+6e^{2x}	derivative\:y=3e^{4x}+6e^{2x}
derivative of e^{7x}+e^{-7x}	\frac{d}{dx}(e^{7x}+e^{-7x})

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