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Popular Calculus Problems

limit as x approaches infinity of 2+5/x	\lim\:_{x\to\:\infty\:}(2+\frac{5}{x})
integral of (e^{-x^2})/x	\int\:\frac{e^{-x^{2}}}{x}dx
derivative of ln((1-x/(1+x)))	\frac{d}{dx}(\ln(\frac{1-x}{1+x}))
limit as x approaches 0 of (1+5x)^{6/x}	\lim\:_{x\to\:0}((1+5x)^{\frac{6}{x}})
integral of 5cos(x^2)	\int\:5\cos(x^{2})dx
slope ofintercept (4,-1),(-1,-4)	slopeintercept\:(4,-1),(-1,-4)
inverse oflaplace 1/(s^2+s^1+s^1+1)	inverselaplace\:\frac{1}{s^{2}+s^{1}+s^{1}+1}
integral of 1/(usqrt(5-u^2))	\int\:\frac{1}{u\sqrt{5-u^{2}}}du
integral from 0 to 1 of x^4(2+2x^5)	\int\:_{0}^{1}x^{4}(2+2x^{5})dx
integral of (e^x+x^e-ex)	\int\:(e^{x}+x^{e}-ex)dx
(d^2)/(dx^2)(xsqrt(1-x^2))	\frac{d^{2}}{dx^{2}}(x\sqrt{1-x^{2}})
integral from 0 to r of xsqrt(r^2-x^2)	\int\:_{0}^{r}x\sqrt{r^{2}-x^{2}}dx
integral of x/((x^2-4)(x+3))	\int\:\frac{x}{(x^{2}-4)(x+3)}dx
derivative of y=1-e^x	derivative\:y=1-e^{x}
integral of 15^x	\int\:15^{x}dx
derivative of (1+2x^2)	\frac{d}{dx}((1+2x)^{2})
derivative of 1/(x^2)	derivative\:\frac{1}{x^{2}}
integral of (x+1)/(sqrt(x^2+1))	\int\:\frac{x+1}{\sqrt{x^{2}+1}}dx
tangent of f(x)= 5/(2sqrt(5x+6)),\at x=2	tangent\:f(x)=\frac{5}{2\sqrt{5x+6}},\at\:x=2
integral of (11x^2)/((36+x^2)^2)	\int\:\frac{11x^{2}}{(36+x^{2})^{2}}dx
inverse oflaplace (20)/(s^2+6s+144)	inverselaplace\:\frac{20}{s^{2}+6s+144}
integral of x^4-2x	\int\:x^{4}-2xdx
derivative of f(x)=(2^x)^8	derivative\:f(x)=(2^{x})^{8}
limit as x approaches 0-of 1/(\|x\|)	\lim\:_{x\to\:0-}(\frac{1}{\left\|x\right\|})
integral of ze^z	\int\:ze^{z}dz
inverse oflaplace 1/((s-1)^4)	inverselaplace\:\frac{1}{(s-1)^{4}}
derivative of y=sqrt(10+cot^2(x))	derivative\:y=\sqrt{10+\cot^{2}(x)}
(\partial)/(\partial x)(arctan(x-y))	\frac{\partial\:}{\partial\:x}(\arctan(x-y))
derivative of (8e^x/(2e^x+1))	\frac{d}{dx}(\frac{8e^{x}}{2e^{x}+1})
integral from 0 to 1/2 of sqrt(1-x^2)	\int\:_{0}^{\frac{1}{2}}\sqrt{1-x^{2}}dx
integral of (1-t)cos(t^2-2t)	\int\:(1-t)\cos(t^{2}-2t)dt
derivative of cos(xpi)	\frac{d}{dx}(\cos(xπ))
integral of e^{1.25x}-4x	\int\:e^{1.25x}-4xdx
(\partial)/(\partial x)(6x^{1/3}y^{1/2})	\frac{\partial\:}{\partial\:x}(6x^{\frac{1}{3}}y^{\frac{1}{2}})
integral of (e^x)/(1+25e^{2x)}	\int\:\frac{e^{x}}{1+25e^{2x}}dx
tangent of f(x)=2x+3/x ,\at x=-1	tangent\:f(x)=2x+\frac{3}{x},\at\:x=-1
(\partial}{\partial x}(\frac{arctan(*y^2))/x)	\frac{\partial\:}{\partial\:x}(\frac{\arctan(\cdot\:y^{2})}{x})
(dy)/(dt)+e^ty=-e^t	\frac{dy}{dt}+e^{t}y=-e^{t}
2y^{''}+3y^'+9y=0	2y^{\prime\:\prime\:}+3y^{\prime\:}+9y=0
derivative of ((x^4-5x^3+sqrt(x)))/(x^2)	derivative\:\frac{(x^{4}-5x^{3}+\sqrt{x})}{x^{2}}
derivative of f(x)=(3x^2-2x-1)^{3/2}	derivative\:f(x)=(3x^{2}-2x-1)^{\frac{3}{2}}
integral of (38)/(38+e^x)	\int\:\frac{38}{38+e^{x}}dx
tangent of f(x)=\sqrt[3]{1+x},\at x=0	tangent\:f(x)=\sqrt[3]{1+x},\at\:x=0
integral of (3+u)/(1-u^2)	\int\:\frac{3+u}{1-u^{2}}du
integral of \sqrt[3]{2}	\int\:\sqrt[3]{2}dx
limit as x approaches-5 of x^2+5	\lim\:_{x\to\:-5}(x^{2}+5)
(dy)/(dx)=e^{y-2x}	\frac{dy}{dx}=e^{y-2x}
integral of (7sec(x)tan(x)+6sec^2(x))	\int\:(7\sec(x)\tan(x)+6\sec^{2}(x))dx
area y=\sqrt[4]{x},x=0,y=1	area\:y=\sqrt[4]{x},x=0,y=1
integral of ((x^2))/(sqrt(36-x^2))	\int\:\frac{(x^{2})}{\sqrt{36-x^{2}}}dx
derivative of-1/5 x^5+2x^3-72x-4	\frac{d}{dx}(-\frac{1}{5}x^{5}+2x^{3}-72x-4)
integral of (1+x^2)/x	\int\:\frac{1+x^{2}}{x}dx
integral of 1/(5sqrt(x)(6+\sqrt{x))}	\int\:\frac{1}{5\sqrt{x}(6+\sqrt{x})}dx
derivative of (2x+2x^2)/((1+2x)^2)	derivative\:\frac{2x+2x^{2}}{(1+2x)^{2}}
integral of 3xsin^2(x^2)	\int\:3x\sin^{2}(x^{2})dx
derivative of-4cos(x)	derivative\:-4\cos(x)
12y^{''}-12y^'+6y=0	12y^{\prime\:\prime\:}-12y^{\prime\:}+6y=0
(\partial}{\partial s}(\frac{(s-r))/t)	\frac{\partial\:}{\partial\:s}(\frac{(s-r)}{t})
inverse oflaplace s	inverselaplace\:s
integral of (x+4)/(2x+6)	\int\:\frac{x+4}{2x+6}dx
integral of re^r	\int\:re^{r}dr
derivative of 2xe^{x-1}+e^{x-1}(x^2+1)	derivative\:2xe^{x-1}+e^{x-1}(x^{2}+1)
integral of (e^{3x}-4)^5*3e^{3x}	\int\:(e^{3x}-4)^{5}\cdot\:3e^{3x}dx
integral of arccot(9y)	\int\:\arccot(9y)dy
(d^2)/(dx^2)((x^3+8)e^x)	\frac{d^{2}}{dx^{2}}((x^{3}+8)e^{x})
derivative of {r}(xx)	\frac{d}{dx}({r}(x)x)
derivative of sqrt(x)*e^x	derivative\:\sqrt{x}\cdot\:e^{x}
limit as x approaches 2 of 8	\lim\:_{x\to\:2}(8)
integral of-e^{2-x}	\int\:-e^{2-x}dx
(\partial)/(\partial x)(xsin(x+2y))	\frac{\partial\:}{\partial\:x}(x\sin(x+2y))
sum from n=1 to infinity of (n!)/(103^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{103^{n}}
tangent of f(x)=x+3/x ,\at x=2	tangent\:f(x)=x+\frac{3}{x},\at\:x=2
derivative of E	derivative\:E
f(x)=e^{-x}-e^{-x}x	f(x)=e^{-x}-e^{-x}x
limit as x approaches 3+of (x+1)/(x-3)	\lim\:_{x\to\:3+}(\frac{x+1}{x-3})
(\partial)/(\partial x)(26sin(z)xy)	\frac{\partial\:}{\partial\:x}(26\sin(z)xy)
integral of cos(x)*e^x	\int\:\cos(x)\cdot\:e^{x}dx
integral of (5x)/(x^2-3x+2)	\int\:\frac{5x}{x^{2}-3x+2}dx
integral from 0 to ln(4) of xe^x	\int\:_{0}^{\ln(4)}xe^{x}dx
derivative of sin(x)+8/5 cot(x)	derivative\:\sin(x)+\frac{8}{5}\cot(x)
9y^{''}-y=xe^{1/3 x}	9y^{\prime\:\prime\:}-y=xe^{\frac{1}{3}x}
integral from 0 to x of sqrt(e^t-1)	\int\:_{0}^{x}\sqrt{e^{t}-1}dt
tangent of y=18sqrt(x),(9,54)	tangent\:y=18\sqrt{x},(9,54)
(\partial)/(\partial x)(yln(xy^2z^3))	\frac{\partial\:}{\partial\:x}(y\ln(xy^{2}z^{3}))
integral of (1)^2	\int\:(1)^{2}dx
y^'=3cos(t)-2y,y(0)=0	y^{\prime\:}=3\cos(t)-2y,y(0)=0
y^'+9y=t+e-8t	y^{\prime\:}+9y=t+e-8t
derivative of x,	\frac{d}{dx}(x,)
sum from n=8 to infinity of e^{7-6n}	\sum\:_{n=8}^{\infty\:}e^{7-6n}
xy^'=2x^2y+3x^3e^{x^2},y(0)=5	xy^{\prime\:}=2x^{2}y+3x^{3}e^{x^{2}},y(0)=5
area-x+2,x^2-1,[0,1]	area\:-x+2,x^{2}-1,[0,1]
laplacetransform tsin(3t)	laplacetransform\:t\sin(3t)
(\partial)/(\partial x)(x^2+y^2-25)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-25)
d/(d{x)}(2{x}{y}+{z}^2)	\frac{d}{d{x}}(2{x}{y}+{z}^{2})
(xy)dx+xdy=0	(xy)dx+xdy=0
integral of 5xe^{3x}	\int\:5xe^{3x}dx
limit as x approaches 2+of 0	\lim\:_{x\to\:2+}(0)
integral of-10t	\int\:-10tdt
tangent of f(x)=5x^3-5x,(1,0)	tangent\:f(x)=5x^{3}-5x,(1,0)
4y^{''}-y-1=0	4y^{\prime\:\prime\:}-y-1=0

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