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Popular Calculus Problems

derivative of e^{\sqrt[4]{x-1}}	\frac{d}{dx}(e^{\sqrt[4]{x-1}})
(1/(1-cos(x)))^'	(\frac{1}{1-\cos(x)})^{\prime\:}
(1/(x^2+1))^'	(\frac{1}{x^{2}+1})^{\prime\:}
(\partial)/(\partial x)(sin(2yx))	\frac{\partial\:}{\partial\:x}(\sin(2yx))
(dy)/(dx)=(2y)/(5y-2x)	\frac{dy}{dx}=\frac{2y}{5y-2x}
integral of 3tan(3x)	\int\:3\tan(3x)dx
integral of (2x^2-2x-1)/(x^3-x^2)	\int\:\frac{2x^{2}-2x-1}{x^{3}-x^{2}}dx
limit as x approaches-2 of (3x^2+ax+a+9)/(x^2+x-2)	\lim\:_{x\to\:-2}(\frac{3x^{2}+ax+a+9}{x^{2}+x-2})
inverse oflaplace (5se^{-2s})/(2s^2+50)	inverselaplace\:\frac{5se^{-2s}}{2s^{2}+50}
integral of (4x^2-12x-19)/((x+1)^2(x-2))	\int\:\frac{4x^{2}-12x-19}{(x+1)^{2}(x-2)}dx
(dy)/(dx)(x+3)=y	\frac{dy}{dx}(x+3)=y
integral of e^{2y}	\int\:e^{2y}dy
(dy)/(dx)=(3x^2*(1+y^2))	\frac{dy}{dx}=(3x^{2}\cdot\:(1+y^{2}))
tangent of y=x^2+9	tangent\:y=x^{2}+9
derivative of (sqrt(x)-x)/(x^{1/4)}	derivative\:\frac{\sqrt{x}-x}{x^{\frac{1}{4}}}
taylor (1-x)^{1/4},0	taylor\:(1-x)^{\frac{1}{4}},0
integral of cos(x+pi/3)	\int\:\cos(x+\frac{π}{3})dx
integral from 5 to 6 of (7/(x^2)-1)	\int\:_{5}^{6}(\frac{7}{x^{2}}-1)dx
integral of cos(x)y	\int\:\cos(x)y
derivative of-3x^3-2x^2-1	derivative\:-3x^{3}-2x^{2}-1
limit as x approaches 2 of x^4+12x+8	\lim\:_{x\to\:2}(x^{4}+12x+8)
integral of (sqrt(x)+1/(\sqrt[6]{x)})	\int\:(\sqrt{x}+\frac{1}{\sqrt[6]{x}})dx
derivative of 5/3 x^{2/3}	\frac{d}{dx}(\frac{5}{3}x^{\frac{2}{3}})
limit as x approaches+0 of-\|x-2\|+3	\lim\:_{x\to\:+0}(-\left\|x-2\right\|+3)
derivative of 4x^4-7x^3+3	\frac{d}{dx}(4x^{4}-7x^{3}+3)
integral of-3sin(t)	\int\:-3\sin(t)dt
laplacetransform (t-1)1(t-1)	laplacetransform\:(t-1)1(t-1)
integral of tan(θ)sec^2(θ)	\int\:\tan(θ)\sec^{2}(θ)dθ
derivative of (x^2-2/(2x+1))	\frac{d}{dx}(\frac{x^{2}-2}{2x+1})
integral of ln(x^2)	\int\:\ln(x^{2})dx
(xdy)/(dx)+y=e^{-x}	\frac{xdy}{dx}+y=e^{-x}
9y^{''}+6y^'+6y=0	9y^{\prime\:\prime\:}+6y^{\prime\:}+6y=0
integral from 3 to 4 of 15x(x-2)^4	\int\:_{3}^{4}15x(x-2)^{4}dx
integral of 2x^2e^{-x}	\int\:2x^{2}e^{-x}dx
derivative of x^2e^{2x}	derivative\:x^{2}e^{2x}
integral of tan^4(x)	\int\:\tan^{4}(x)dx
derivative of 6+(2t)/(1+t^3)-e^{-0.02t}	derivative\:6+\frac{2t}{1+t^{3}}-e^{-0.02t}
d/(ds)(e^{-s})	\frac{d}{ds}(e^{-s})
integral of 5cos(x/2)	\int\:5\cos(\frac{x}{2})dx
derivative of x^2sqrt(16-x^2)	derivative\:x^{2}\sqrt{16-x^{2}}
inverse oflaplace 1/(s^2-2s)	inverselaplace\:\frac{1}{s^{2}-2s}
derivative of-8/(x^2)	derivative\:-\frac{8}{x^{2}}
integral from 0 to infinity of e^x	\int\:_{0}^{\infty\:}e^{x}dx
integral of 1/(1+49x^2)	\int\:\frac{1}{1+49x^{2}}dx
(\partial)/(\partial y)(ln(x^7+y^7))	\frac{\partial\:}{\partial\:y}(\ln(x^{7}+y^{7}))
area ((x-3)^2)/3 ,9-x	area\:\frac{(x-3)^{2}}{3},9-x
integral of θ-csc(θ)cot(θ)	\int\:θ-\csc(θ)\cot(θ)dθ
limit as y approaches 0 of 2/(y^2+y)-2/y	\lim\:_{y\to\:0}(\frac{2}{y^{2}+y}-\frac{2}{y})
derivative of f(x)=2^{ln(x)}	derivative\:f(x)=2^{\ln(x)}
area 6x^2-9x-6,7x^2-5x-3	area\:6x^{2}-9x-6,7x^{2}-5x-3
limit as x approaches 0 of x/5	\lim\:_{x\to\:0}(\frac{x}{5})
derivative of (x^2-9)^2+2	derivative\:(x^{2}-9)^{2}+2
7x(x+3y)y^'=7y(x-3y)	7x(x+3y)y^{\prime\:}=7y(x-3y)
5(dr)/(ds)=e^{r-8s}	5\frac{dr}{ds}=e^{r-8s}
(\partial)/(\partial x)(4y^2-x^2)	\frac{\partial\:}{\partial\:x}(4y^{2}-x^{2})
integral from-1 to 5 of x^2-4x-5	\int\:_{-1}^{5}x^{2}-4x-5dx
y^'+4xy^4=0	y^{\prime\:}+4xy^{4}=0
derivative of (sqrt(x+1)-1/x)	\frac{d}{dx}(\frac{\sqrt{x+1}-1}{x})
derivative of x(24-2x(24-2x))	\frac{d}{dx}(x(24-2x)(24-2x))
limit as x approaches-2 of (5x+2)/(x-2)	\lim\:_{x\to\:-2}(\frac{5x+2}{x-2})
integral of 1/(0.02y-6)	\int\:\frac{1}{0.02y-6}dy
derivative of f(x)=x^{-1}	derivative\:f(x)=x^{-1}
integral from 0 to 2pi of sqrt((1-cos(x))/2)	\int\:_{0}^{2π}\sqrt{\frac{1-\cos(x)}{2}}dx
integral of (sqrt(x^2-16))/(x^4)	\int\:\frac{\sqrt{x^{2}-16}}{x^{4}}dx
sum from n=1 to infinity of 7/(n(n+1))	\sum\:_{n=1}^{\infty\:}\frac{7}{n(n+1)}
limit as x approaches 1+of 1/(x^{1-x)}	\lim\:_{x\to\:1+}(\frac{1}{x^{1-x}})
derivative of f(x)=3(sqrt(x+1))	derivative\:f(x)=3(\sqrt{x+1})
(dy)/(dx)-y=xe^x	\frac{dy}{dx}-y=xe^{x}
limit as x approaches 3 of 3x^2-7x+2	\lim\:_{x\to\:3}(3x^{2}-7x+2)
limit as x approaches 5+of-x/(x-5)	\lim\:_{x\to\:5+}(-\frac{x}{x-5})
integral of 1/(y^2-2y)	\int\:\frac{1}{y^{2}-2y}dy
3y^'+y=0,y(0)=0	3y^{\prime\:}+y=0,y(0)=0
limit as n approaches infinity of 1/e	\lim\:_{n\to\:\infty\:}(\frac{1}{e})
integral of (5(x^2+4))/(x(x^2+5))	\int\:\frac{5(x^{2}+4)}{x(x^{2}+5)}dx
limit as x approaches 0 of+(sin(x))	\lim\:_{x\to\:0}(+(\sin(x)))
tangent of f(x)=sqrt(x+8),\at x=1	tangent\:f(x)=\sqrt{x+8},\at\:x=1
limit as x approaches 1 of 2^{x^3-x}	\lim\:_{x\to\:1}(2^{x^{3}-x})
limit as x approaches 7+of ((x-8))/(x-7)	\lim\:_{x\to\:7+}(\frac{(x-8)}{x-7})
integral of 1/(1+25x^2)	\int\:\frac{1}{1+25x^{2}}dx
(\partial)/(\partial z)(z(1+e^{x+y}))	\frac{\partial\:}{\partial\:z}(z(1+e^{x+y}))
derivative of 3xy^2+2ycos(x)	\frac{d}{dx}(3xy^{2}+2y\cos(x))
integral of x^2(x^3-1)^4	\int\:x^{2}(x^{3}-1)^{4}dx
(\partial)/(\partial x)((x^2y+3zy^3)/(xyz))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}y+3zy^{3}}{xyz})
xy+y^'=80x	xy+y^{\prime\:}=80x
integral from 3 to 4 of (4+(24)/(x^2))	\int\:_{3}^{4}(4+\frac{24}{x^{2}})dx
(dy)/(dx)+7xy=0	\frac{dy}{dx}+7xy=0
limit as x approaches 2 of x^3-x^2-4	\lim\:_{x\to\:2}(x^{3}-x^{2}-4)
d/(dt)(3t-t^3)	\frac{d}{dt}(3t-t^{3})
derivative of x^2sqrt(x)	\frac{d}{dx}(x^{2}\sqrt{x})
slope of (3.2)(1.6)	slope\:(3.2)(1.6)
derivative of 2x^2cos(3x)	\frac{d}{dx}(2x^{2}\cos(3x))
integral of arccot(13y)	\int\:\arccot(13y)dy
integral of sqrt(1+cos(8x))	\int\:\sqrt{1+\cos(8x)}dx
derivative of cos(arctan(5x))	\frac{d}{dx}(\cos(\arctan(5x)))
sum from n=0 to infinity of n^n(x-3)^n	\sum\:_{n=0}^{\infty\:}n^{n}(x-3)^{n}
limit as x approaches 2 of 3/(x+2)	\lim\:_{x\to\:2}(\frac{3}{x+2})
inverse oflaplace s/((s-2)(s-3)(s-6))	inverselaplace\:\frac{s}{(s-2)(s-3)(s-6)}
derivative of ((x^2+1)/((x+4)))	\frac{d}{dx}(\frac{(x^{2}+1)}{(x+4)})
derivative of y=(5x+1)^3(x-4)	derivative\:y=(5x+1)^{3}(x-4)
integral of x/((x^2-4))	\int\:\frac{x}{(x^{2}-4)}dx

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