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Popular Calculus Problems

limit as x approaches 1 of 3x+4sqrt(x)	\lim\:_{x\to\:1}(3x+4\sqrt{x})
area y=x+2,y=-3x+6,y=(2-x)/3	area\:y=x+2,y=-3x+6,y=\frac{2-x}{3}
limit as x approaches+(-2) of 0	\lim\:_{x\to\:+(-2)}(0)
tangent of 7x+cox(x)	tangent\:7x+cox(x)
(\partial)/(\partial x)(e^{-x})	\frac{\partial\:}{\partial\:x}(e^{-x})
integral from 0 to pi/8 of sin(2x)	\int\:_{0}^{\frac{π}{8}}\sin(2x)dx
integral of 3/(2-x)	\int\:\frac{3}{2-x}dx
integral from 1 to 3 of 7r^3ln(r)	\int\:_{1}^{3}7r^{3}\ln(r)dr
inverse oflaplace 4/(2(s-3)^2-50)	inverselaplace\:\frac{4}{2(s-3)^{2}-50}
tangent of f(x)=(x^3-4x+1)e^x,\at x=0	tangent\:f(x)=(x^{3}-4x+1)e^{x},\at\:x=0
area x^2+2x+2,2x^2+3x-4	area\:x^{2}+2x+2,2x^{2}+3x-4
derivative of ln(sqrt(x^2+7))	\frac{d}{dx}(\ln(\sqrt{x^{2}+7}))
limit as x approaches pi/2 of sin(x)	\lim\:_{x\to\:\frac{π}{2}}(\sin(x))
integral of 6/(x^2+10x+16)	\int\:\frac{6}{x^{2}+10x+16}dx
integral of 6sin^4(x)	\int\:6\sin^{4}(x)dx
derivative of (12x^2-12(9-4x))	\frac{d}{dx}((12x^{2}-12)(9-4x))
(\partial)/(\partial x)(x^2-2xy+3y^2x^3)	\frac{\partial\:}{\partial\:x}(x^{2}-2xy+3y^{2}x^{3})
derivative of y=ln((x^2-1)/(x^2+1))	derivative\:y=\ln(\frac{x^{2}-1}{x^{2}+1})
(dy)/(dx)+12y=6	\frac{dy}{dx}+12y=6
derivative of-10e^{-5x^2}x	derivative\:-10e^{-5x^{2}}x
integral of 6xln(5x)	\int\:6x\ln(5x)dx
area y=x^4-4x^2+4,y=x^2	area\:y=x^{4}-4x^{2}+4,y=x^{2}
tangent of f(x)=2x-x^2,(a,0)	tangent\:f(x)=2x-x^{2},(a,0)
derivative of (3x^2+1^{40}(4x-7)^{50})	\frac{d}{dx}((3x^{2}+1)^{40}(4x-7)^{50})
integral of x/(sqrt(27+6x-x^2))	\int\:\frac{x}{\sqrt{27+6x-x^{2}}}dx
parity tan^{40}(sec(cos(x)))	parity\:\tan^{40}(\sec(\cos(x)))
inverse oflaplace 4/(s^2(s+1))	inverselaplace\:\frac{4}{s^{2}(s+1)}
limit as n approaches infinity of (3^{n+1})/((n)!)	\lim\:_{n\to\:\infty\:}(\frac{3^{n+1}}{(n)!})
y^'=(x^3-2y)/x	y^{\prime\:}=\frac{x^{3}-2y}{x}
integral of t^2+e^t	\int\:t^{2}+e^{t}dt
integral of x^3e^{4x}	\int\:x^{3}e^{4x}dx
integral from 0 to pi of 9sin^2(4x)	\int\:_{0}^{π}9\sin^{2}(4x)dx
limit as x approaches 0 of sin^3(2x)	\lim\:_{x\to\:0}(\sin^{3}(2x))
derivative of (-8x/((x^2-16)^2))	\frac{d}{dx}(\frac{-8x}{(x^{2}-16)^{2}})
(\partial)/(\partial x)(e^{-x-3y})	\frac{\partial\:}{\partial\:x}(e^{-x-3y})
area x^2-6,\|x\|	area\:x^{2}-6,\left\|x\right\|
slope of f(x)5x+y=6	slope\:f(x)5x+y=6
integral of x/(sqrt(2-x))	\int\:\frac{x}{\sqrt{2-x}}dx
integral of tan^5(x)sec(x)	\int\:\tan^{5}(x)\sec(x)dx
integral of (x^2-3x-5)/(x^2-5x)	\int\:\frac{x^{2}-3x-5}{x^{2}-5x}dx
limit as y approaches 0 of 7/(y^2+y)-7/y	\lim\:_{y\to\:0}(\frac{7}{y^{2}+y}-\frac{7}{y})
maclaurin 5e^{-x}	maclaurin\:5e^{-x}
f^'(x)=sin(x^2)	f^{\prime\:}(x)=\sin(x^{2})
derivative of (sin(x)^{ln(x)})	\frac{d}{dx}((\sin(x))^{\ln(x)})
(\partial)/(\partial x)(x^2y+5y^3)	\frac{\partial\:}{\partial\:x}(x^{2}y+5y^{3})
(dx)/(dt)=3t^2(x^2+4)	\frac{dx}{dt}=3t^{2}(x^{2}+4)
(\partial)/(\partial x)(9(xyz)/(x+y+z))	\frac{\partial\:}{\partial\:x}(9\frac{xyz}{x+y+z})
integral of 3/(x+3)	\int\:\frac{3}{x+3}dx
parity x^{cos(x)}	parity\:x^{\cos(x)}
integral of 2/(sin(2x))	\int\:\frac{2}{\sin(2x)}dx
derivative of 5^{-2x}	\frac{d}{dx}(5^{-2x})
(d^2)/(dx^2)((e^x)/(cos(x)))	\frac{d^{2}}{dx^{2}}(\frac{e^{x}}{\cos(x)})
(\partial)/(\partial y)(xz+xyz)	\frac{\partial\:}{\partial\:y}(xz+xyz)
slope of (-2,-5),(-3,5)	slope\:(-2,-5),(-3,5)
integral of (x-sqrt(25-x^2))	\int\:(x-\sqrt{25-x^{2}})dx
limit as x approaches 0 of ln(tan(x))	\lim\:_{x\to\:0}(\ln(\tan(x)))
derivative of 5x+4	\frac{d}{dx}(5x+4)
limit as x approaches 4 of sin(2/x-1/2)	\lim\:_{x\to\:4}(\sin(\frac{2}{x}-\frac{1}{2}))
derivative of (x^2-8x+4/(2x))	\frac{d}{dx}(\frac{x^{2}-8x+4}{2x})
limit as x approaches 2 of 3-x^2	\lim\:_{x\to\:2}(3-x^{2})
derivative of (1+7x^2)(x-x^2)	derivative\:(1+7x^{2})(x-x^{2})
(dy)/(dx)+(7/x)y=x+7	\frac{dy}{dx}+(\frac{7}{x})y=x+7
derivative of arccos(e^{3x})	derivative\:\arccos(e^{3x})
integral from 0 to pi/4 of tan^2(x)	\int\:_{0}^{\frac{π}{4}}\tan^{2}(x)dx
sum from n=1 to infinity of 1/(5^{n+3)}	\sum\:_{n=1}^{\infty\:}\frac{1}{5^{n+3}}
integral of (3x^2)/(125)	\int\:\frac{3x^{2}}{125}dx
derivative of sin(cos(tan(x)))	derivative\:\sin(\cos(\tan(x)))
derivative of sqrt(1+cos(2x))	\frac{d}{dx}(\sqrt{1+\cos(2x)})
derivative of y=\sqrt[5]{x^4}	derivative\:y=\sqrt[5]{x^{4}}
implicit ln(xy^9)=xy	implicit\:\ln(xy^{9})=xy
integral of (x^3)/(27)-4/9 x^2+4/3 x+1	\int\:\frac{x^{3}}{27}-\frac{4}{9}x^{2}+\frac{4}{3}x+1dx
derivative of-3/(sqrt(x^5))	\frac{d}{dx}(-\frac{3}{\sqrt{x^{5}}})
xy^'+y=(xy)^{3/2}	xy^{\prime\:}+y=(xy)^{\frac{3}{2}}
integral from-9 to 0 of 2+sqrt(81-x^2)	\int\:_{-9}^{0}2+\sqrt{81-x^{2}}dx
integral of (-x-1)/(x^2+1)	\int\:\frac{-x-1}{x^{2}+1}dx
(\partial)/(\partial y)(2x+y^2)	\frac{\partial\:}{\partial\:y}(2x+y^{2})
area f(x)=x^3,0,4	area\:f(x)=x^{3},0,4
y^'-3y=-6y^3	y^{\prime\:}-3y=-6y^{3}
integral from 0 to 1 of 4/(sqrt(1-x^2))	\int\:_{0}^{1}\frac{4}{\sqrt{1-x^{2}}}dx
limit as x approaches 0 of x/(x^2-9x)	\lim\:_{x\to\:0}(\frac{x}{x^{2}-9x})
derivative of (e^x/(e^x+e^{-x)})	\frac{d}{dx}(\frac{e^{x}}{e^{x}+e^{-x}})
x^2y^'+2xy=ln(x),y(1)=3	x^{2}y^{\prime\:}+2xy=\ln(x),y(1)=3
area x,7,(x^2)/(28)	area\:x,7,\frac{x^{2}}{28}
integral of-2xcos(4x)	\int\:-2x\cos(4x)dx
integral of ((2e^x))/x	\int\:\frac{(2e^{x})}{x}dx
integral of 1/(16x^2-25)	\int\:\frac{1}{16x^{2}-25}dx
derivative of cos(2x-2sin(x))	\frac{d}{dx}(\cos(2x)-2\sin(x))
integral from 2 to 3 of integral from 2 to 6 of (xye^{x+y})	\int\:_{2}^{3}\int\:_{2}^{6}(xye^{x+y})dydx
f(x)=(x-3)/2	f(x)=\frac{x-3}{2}
2xyy^'=x^2-y^2	2xyy^{\prime\:}=x^{2}-y^{2}
limit as x approaches 0 of csc(6x)	\lim\:_{x\to\:0}(\csc(6x))
y^'=0.5y-450	y^{\prime\:}=0.5y-450
integral from 1 to 2 of (1+2y)	\int\:_{1}^{2}(1+2y)dy
limit as x approaches 0 of 3x^2	\lim\:_{x\to\:0}(3x^{2})
derivative of 3x^2-2y^2	\frac{d}{dx}(3x^{2}-2y^{2})
integral of sin(u)cos^2(u)	\int\:\sin(u)\cos^{2}(u)du
integral from 1 to 2 of x^3+x^2-1	\int\:_{1}^{2}x^{3}+x^{2}-1dx
integral from 0 to 5 of x^3e^x	\int\:_{0}^{5}x^{3}e^{x}dx
y^{''}+121y=cos(8t)	y^{\prime\:\prime\:}+121y=\cos(8t)
integral of 7/(x^2-9)	\int\:\frac{7}{x^{2}-9}dx

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