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Popular Calculus Problems

integral of 3/(x^4-1)	\int\:\frac{3}{x^{4}-1}dx
derivative of sin(x)tan(x)	derivative\:\sin(x)\tan(x)
derivative of sqrt(3)cos(5x+sin(5x))	\frac{d}{dx}(\sqrt{3}\cos(5x)+\sin(5x))
integral from 1 to 16 of 1/(2x)	\int\:_{1}^{16}\frac{1}{2x}dx
integral of (-x+8)/(-x^2-x+8)	\int\:\frac{-x+8}{-x^{2}-x+8}dx
limit as x approaches 1 of (1+x)/(1-x)	\lim\:_{x\to\:1}(\frac{1+x}{1-x})
taylor 1/(1+1x)	taylor\:\frac{1}{1+1x}
y^'+ty=t	y^{\prime\:}+ty=t
derivative of x^2-3	derivative\:x^{2}-3
y^'+1/x y= 1/(x^2)	y^{\prime\:}+\frac{1}{x}y=\frac{1}{x^{2}}
taylor ln(3x-2)	taylor\:\ln(3x-2)
integral of 3/(sqrt(x))	\int\:\frac{3}{\sqrt{x}}dx
derivative of ln(sqrt((4x-4)/(5x+9)))	derivative\:\ln(\sqrt{\frac{4x-4}{5x+9}})
xy^'-3y=6	xy^{\prime\:}-3y=6
(\partial)/(\partial x)(e^{x^2+2y})	\frac{\partial\:}{\partial\:x}(e^{x^{2}+2y})
area y=10x,y=x^2	area\:y=10x,y=x^{2}
slope of 3x^2+24x-y^2+2y=-44	slope\:3x^{2}+24x-y^{2}+2y=-44
derivative of 1+tan(x)	\frac{d}{dx}(1+\tan(x))
integral from 0 to 4 of e^x	\int\:_{0}^{4}e^{x}dx
integral from-2 to 0 of sqrt(1+(-4)^2)	\int\:_{-2}^{0}\sqrt{1+(-4)^{2}}dx
derivative of y=cos(cos(cos(x)))	derivative\:y=\cos(\cos(\cos(x)))
(\partial)/(\partial x)(9+xln(xy-7))	\frac{\partial\:}{\partial\:x}(9+x\ln(xy-7))
area-x^2-3x,[-4,4]	area\:-x^{2}-3x,[-4,4]
integral of (x+8)/x	\int\:\frac{x+8}{x}dx
integral of 1/((x+1)^4)	\int\:\frac{1}{(x+1)^{4}}dx
integral of sin^3(5x)	\int\:\sin^{3}(5x)dx
integral of 1/(x(x^2-4)^{3/2)}	\int\:\frac{1}{x(x^{2}-4)^{\frac{3}{2}}}dx
integral from 0 to 20 of sqrt(4+3x)	\int\:_{0}^{20}\sqrt{4+3x}dx
y^{''}-3y^'-4y=-3,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-3y^{\prime\:}-4y=-3,y(0)=0,y^{\prime\:}(0)=0
integral of tan^2(2xse)c^22x	\int\:\tan^{2}(2xse)c^{2}2x
y^'+y-2cos(x)=0	y^{\prime\:}+y-2\cos(x)=0
laplacetransform t^{10}e^{-7t}	laplacetransform\:t^{10}e^{-7t}
integral of sin((npix)/3)	\int\:\sin(\frac{nπx}{3})dx
sum from n=0 to infinity of 1/(n+3)	\sum\:_{n=0}^{\infty\:}\frac{1}{n+3}
integral of 1/(2x^5)	\int\:\frac{1}{2x^{5}}dx
limit as x approaches 0 of 4-x^2	\lim\:_{x\to\:0}(4-x^{2})
taylor (x+xcos(x)-2sin(x))/(x^3)	taylor\:\frac{x+x\cdot\:\cos(x)-2\cdot\:\sin(x)}{x^{3}}
d/(d{x)}(2{x}^4+2{y}^4+{z}^4-2{x}^2{y}^2{z})	\frac{d}{d{x}}(2{x}^{4}+2{y}^{4}+{z}^{4}-2{x}^{2}{y}^{2}{z})
integral of-3/y	\int\:-\frac{3}{y}dy
(\partial)/(\partial x)((x-y)/(x+y)-y^3)	\frac{\partial\:}{\partial\:x}(\frac{x-y}{x+y}-y^{3})
inverse oflaplace 3/((s+1)^2+9)	inverselaplace\:\frac{3}{(s+1)^{2}+9}
derivative of tan(13x)	\frac{d}{dx}(\tan(13x))
derivative of 2e^{4x}cos(5x)	derivative\:2e^{4x}\cos(5x)
(\partial)/(\partial x)(ln(x^7-y^3))	\frac{\partial\:}{\partial\:x}(\ln(x^{7}-y^{3}))
derivative of-5/(\sqrt[3]{x})	\frac{d}{dx}(-\frac{5}{\sqrt[3]{x}})
extreme f(x)=e^{a/x}	extreme\:f(x)=e^{\frac{a}{x}}
integral of (-2x^4)/((1-x)^3)	\int\:\frac{-2x^{4}}{(1-x)^{3}}dx
maclaurin sin(x^3)	maclaurin\:\sin(x^{3})
f(t)=sqrt(2)t	f(t)=\sqrt{2}t
d/(dz)((sin(z))/((z+1)^2))	\frac{d}{dz}(\frac{\sin(z)}{(z+1)^{2}})
limit as x approaches 1 of (x-1)/(x^6-1)	\lim\:_{x\to\:1}(\frac{x-1}{x^{6}-1})
y^{''}+4y=t^2	y^{\prime\:\prime\:}+4y=t^{2}
derivative of f(x)=e^{infinity}	derivative\:f(x)=e^{\infty\:}
derivative of (5x^2-2x+4)(4x^2+3x-6)	derivative\:(5x^{2}-2x+4)(4x^{2}+3x-6)
integral of-x^2+6	\int\:-x^{2}+6dx
limit as x approaches 5 of 1/((x-5))	\lim\:_{x\to\:5}(\frac{1}{(x-5)})
(\partial)/(\partial x)(x^2 1/(y+1))	\frac{\partial\:}{\partial\:x}(x^{2}\frac{1}{y+1})
tangent of y=(5x)/(x-3),(4,20)	tangent\:y=\frac{5x}{x-3},(4,20)
integral of (x^2+2y)	\int\:(x^{2}+2y)dx
area sqrt(x-2),14-x,2	area\:\sqrt{x-2},14-x,2
integral of (1-x)cos(npix)	\int\:(1-x)\cos(nπx)dx
inverse oflaplace (5s)/(s^2+4)	inverselaplace\:\frac{5s}{s^{2}+4}
(\partial)/(\partial y)(xy-x^2-y^2)	\frac{\partial\:}{\partial\:y}(xy-x^{2}-y^{2})
derivative of \|x\|^2	\frac{d}{dx}(\left\|x\right\|^{2})
integral of xe^{4-x^2}	\int\:xe^{4-x^{2}}dx
limit as x approaches pi/6 of (sin(x))/x	\lim\:_{x\to\:\frac{π}{6}}(\frac{\sin(x)}{x})
y^{''}+64y= 32/3 cos(7t)	y^{\prime\:\prime\:}+64y=\frac{32}{3}\cos(7t)
area 3-x^2,7-5x	area\:3-x^{2},7-5x
tangent of f(x)=2x^2+3x-2,\at x=-2	tangent\:f(x)=2x^{2}+3x-2,\at\:x=-2
normal of x/(1+x^2),\at x=2	normal\:\frac{x}{1+x^{2}},\at\:x=2
derivative of arctan(e^{-2x})	\frac{d}{dx}(\arctan(e^{-2x}))
area 6x-2,x^2+2x+2,1	area\:6x-2,x^{2}+2x+2,1
slope of (-1,3),(-6,-2)	slope\:(-1,3),(-6,-2)
integral of (2+cos(2x))^2	\int\:(2+\cos(2x))^{2}dx
integral from-1 to 2 of (2-x^2)-(-x)	\int\:_{-1}^{2}(2-x^{2})-(-x)dx
(\partial)/(\partial y)(-0.27y^2+3.78y)	\frac{\partial\:}{\partial\:y}(-0.27y^{2}+3.78y)
derivative of y=(f(x))/(x^4)	derivative\:y=\frac{f(x)}{x^{4}}
derivative of e^{x^2}-cos(x)	\frac{d}{dx}(e^{x^{2}}-\cos(x))
integral of 4/(x^5)	\int\:\frac{4}{x^{5}}dx
derivative of (4x+6/(x+3))	\frac{d}{dx}(\frac{4x+6}{x+3})
derivative of 3^xln(x)	\frac{d}{dx}(3^{x}\ln(x))
laplacetransform-3e^{-t}	laplacetransform\:-3e^{-t}
integral of (sqrt(4x^2-25))/(x^3)	\int\:\frac{\sqrt{4x^{2}-25}}{x^{3}}dx
derivative of 3e^x+(x-2^2)	\frac{d}{dx}(3e^{x}+(x-2)^{2})
limit as x approaches 6 of sqrt(5)	\lim\:_{x\to\:6}(\sqrt{5})
y^{''}+10y^'+25y=7e^{2x}	y^{\prime\:\prime\:}+10y^{\prime\:}+25y=7e^{2x}
integral from-infinity to 3 of xe^x	\int\:_{-\infty\:}^{3}xe^{x}dx
tangent of 5e^xcos(x)(0.5)	tangent\:5e^{x}\cos(x)(0.5)
integral of xsin(7x)	\int\:x\sin(7x)dx
derivative of (1+cos^3(x^7))^{12}	derivative\:(1+\cos^{3}(x^{7}))^{12}
(\partial)/(\partial x)(y^3sin(6x))	\frac{\partial\:}{\partial\:x}(y^{3}\sin(6x))
tangent of f(x)= 2/(3x+5),(-1,1)	tangent\:f(x)=\frac{2}{3x+5},(-1,1)
limit as x approaches 0 of (x^2+7x)/x	\lim\:_{x\to\:0}(\frac{x^{2}+7x}{x})
integral of (2t+3)^{-3}	\int\:(2t+3)^{-3}dt
tangent of f(x)=(2x-1)/(x+5),\at x=4	tangent\:f(x)=\frac{2x-1}{x+5},\at\:x=4
integral of (sqrt(x^2+9))/(x^4)	\int\:\frac{\sqrt{x^{2}+9}}{x^{4}}dx
derivative of sin(5x)	derivative\:\sin(5x)
dp=(3p-p^2-9/4)dt	dp=(3p-p^{2}-\frac{9}{4})dt
d/(dy)(y/(x^2))	\frac{d}{dy}(\frac{y}{x^{2}})
integral of (e^{5/t})/(t^2)	\int\:\frac{e^{\frac{5}{t}}}{t^{2}}dt

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