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Popular Calculus Problems
integral from 0 to 1 of 5cos(x^2)
\int\:_{0}^{1}5\cos(x^{2})dx
limit as x approaches 0 of ((6^x-8^x))/x
\lim\:_{x\to\:0}(\frac{(6^{x}-8^{x})}{x})
integral of cos(t)+sin(t)
\int\:\cos(t)+\sin(t)dt
sum from n=1 to infinity of 1/(ln(3n))
\sum\:_{n=1}^{\infty\:}\frac{1}{\ln(3n)}
inverse oflaplace ((s+1)^2)/((s+2)^4)
inverselaplace\:\frac{(s+1)^{2}}{(s+2)^{4}}
tangent of y= 3/x ,(4, 3/4)
tangent\:y=\frac{3}{x},(4,\frac{3}{4})
integral of ((2x+1))/(x-1)
\int\:\frac{(2x+1)}{x-1}dx
y^{''}+3y^'-18y=0
y^{\prime\:\prime\:}+3y^{\prime\:}-18y=0
derivative of (2sin(x)/(3+cos(x)))
\frac{d}{dx}(\frac{2\sin(x)}{3+\cos(x)})
derivative of y=96x^2+72x+12
derivative\:y=96x^{2}+72x+12
y^'cos(x)=ysin(x)+sin(103x)
y^{\prime\:}\cos(x)=y\sin(x)+\sin(103x)
derivative of (x+sqrt(2x))(2x+1)
derivative\:(x+\sqrt{2x})(2x+1)
implicit (dy)/(dx),1+ln(9xy)=e^{(9x-y)}
implicit\:\frac{dy}{dx},1+\ln(9xy)=e^{(9x-y)}
integral of (31)/(x(x^2+4)^2)
\int\:\frac{31}{x(x^{2}+4)^{2}}dx
derivative of (7w^{10}-11w^7)/(8w^7)
derivative\:\frac{7w^{10}-11w^{7}}{8w^{7}}
integral of 19arctan(sqrt(x))
\int\:19\arctan(\sqrt{x})dx
limit as x approaches-2+of-3x^2+2
\lim\:_{x\to\:-2+}(-3x^{2}+2)
derivative of x^{sqrt(x)}
derivative\:x^{\sqrt{x}}
tangent of f(x)=((e^x))/x ,\at x=1
tangent\:f(x)=\frac{(e^{x})}{x},\at\:x=1
laplacetransform (t^3e^{-,\at})
laplacetransform\:(t^{3}e^{-,\at\:})
limit as x approaches 3-of (|3+x|)/(3-x)
\lim\:_{x\to\:3-}(\frac{\left|3+x\right|}{3-x})
(\partial)/(\partial y)(e^ysin(xy))
\frac{\partial\:}{\partial\:y}(e^{y}\sin(xy))
integral of (9x)/((2-x^2)^3)
\int\:\frac{9x}{(2-x^{2})^{3}}dx
(\partial)/(\partial x)(x^3sin(xy))
\frac{\partial\:}{\partial\:x}(x^{3}\sin(xy))
integral of (1-e^{-10t}-10te^{-10t})
\int\:(1-e^{-10t}-10te^{-10t})dt
area y=3x,y=3,x=0
area\:y=3x,y=3,x=0
integral of ((x^2+1))/(x^2)
\int\:\frac{(x^{2}+1)}{x^{2}}dx
derivative of arccsc(e^x)
\frac{d}{dx}(\arccsc(e^{x}))
(\partial)/(\partial y)(y^4cos(2x))
\frac{\partial\:}{\partial\:y}(y^{4}\cos(2x))
derivative of y=x^{0.85}
derivative\:y=x^{0.85}
(dv)/(dt)=-bv
\frac{dv}{dt}=-bv
derivative of (x+2)^3
derivative\:(x+2)^{3}
x^{''}=t^{-4}
x^{\prime\:\prime\:}=t^{-4}
sum from n=2 to infinity of 4/(ln(n^3))
\sum\:_{n=2}^{\infty\:}\frac{4}{\ln(n^{3})}
area 7cos(8x),7-7cos(8x),[0, pi/8 ]
area\:7\cos(8x),7-7\cos(8x),[0,\frac{π}{8}]
maclaurin e^{((-x^2)/2)}
maclaurin\:e^{(\frac{-x^{2}}{2})}
taylor φ^5cos(φ^2)
taylor\:φ^{5}\cos(φ^{2})
tangent of x^4+5e^x
tangent\:x^{4}+5e^{x}
sum from n=1 to infinity of 5/(n^4+n)
\sum\:_{n=1}^{\infty\:}\frac{5}{n^{4}+n}
integral from-1 to 3 of 2x^2+1
\int\:_{-1}^{3}2x^{2}+1dx
y^'+1/x y=-1/x y^2
y^{\prime\:}+\frac{1}{x}y=-\frac{1}{x}y^{2}
tangent of y=x^3-x
tangent\:y=x^{3}-x
derivative of (2(x+8(x-6))/(x^2-7^2))
\frac{d}{dx}(\frac{2(x+8)(x-6)}{x^{2}-7^{2}})
derivative of ((2x+4/(3x-1))^4)
\frac{d}{dx}((\frac{2x+4}{3x-1})^{4})
integral of (5sin(sqrt(x)))/(sqrt(x))
\int\:\frac{5\sin(\sqrt{x})}{\sqrt{x}}dx
y^'-2/t y=t^3
y^{\prime\:}-\frac{2}{t}y=t^{3}
integral of 20+75e^{-t/(50)}
\int\:20+75e^{-\frac{t}{50}}dt
laplacetransform t*cos(pi*t)
laplacetransform\:t\cdot\:\cos(π\cdot\:t)
y^'+2y=3sin(e^{2x})
y^{\prime\:}+2y=3\sin(e^{2x})
sum from n=1 to infinity}((2^{2n of n!))/(2n+1)
\sum\:_{n=1}^{\infty\:}\frac{(2^{2n}n!)}{2n+1}
laplacetransform e^{-3t}*sin(t)
laplacetransform\:e^{-3t}\cdot\:\sin(t)
limit as x approaches 3+of 2/(x+3)
\lim\:_{x\to\:3+}(\frac{2}{x+3})
tangent of F(x)=x^4-8x^2+2
tangent\:F(x)=x^{4}-8x^{2}+2
limit as x approaches 2 of nx+2
\lim\:_{x\to\:2}(nx+2)
derivative of sin(5x^5)
\frac{d}{dx}(\sin(5)x^{5})
limit as x approaches 2 of x^2-4
\lim\:_{x\to\:2}(x^{2}-4)
integral of 2x+2
\int\:2x+2dx
derivative of x^{4sin(x})
\frac{d}{dx}(x^{4\sin(x)})
limit as x approaches infinity of x+5x
\lim\:_{x\to\:\infty\:}(x+5x)
y^{'''}+4*y^'=3*x-1
y^{\prime\:\prime\:\prime\:}+4\cdot\:y^{\prime\:}=3\cdot\:x-1
tangent of f(x)=4x^2+5x,\at x=-2
tangent\:f(x)=4x^{2}+5x,\at\:x=-2
taylor sin(x),x= pi/3
taylor\:\sin(x),x=\frac{π}{3}
ydx+x(ln(x)-ln(y)-1)dy=0,y(1)=e
ydx+x(\ln(x)-\ln(y)-1)dy=0,y(1)=e
derivative of sqrt(4t^2-t)
derivative\:\sqrt{4t^{2}-t}
limit as x approaches 0 of (1-sqrt(x))/(1-x)
\lim\:_{x\to\:0}(\frac{1-\sqrt{x}}{1-x})
sum from n=0 to infinity of 1/(9^n)
\sum\:_{n=0}^{\infty\:}\frac{1}{9^{n}}
limit as x approaches 0 of (-2-2cos(x)+2)/(x^4)
\lim\:_{x\to\:0}(\frac{-2-2\cos(x)+2}{x^{4}})
derivative of f(x)=14sqrt(x)
derivative\:f(x)=14\sqrt{x}
derivative of y=tan^2(8x)
derivative\:y=\tan^{2}(8x)
integral of 42x(x+1)^5
\int\:42x(x+1)^{5}dx
integral of 1/(2x^2+5)
\int\:\frac{1}{2x^{2}+5}dx
integral of sqrt(tan(4x))sec^2(4x)
\int\:\sqrt{\tan(4x)}\sec^{2}(4x)dx
integral of 8/(x^2)cos(8/x)
\int\:\frac{8}{x^{2}}\cos(\frac{8}{x})dx
(\partial)/(\partial x)(ycos(x+y))
\frac{\partial\:}{\partial\:x}(y\cos(x+y))
integral of 15x*sqrt(1-x)
\int\:15x\cdot\:\sqrt{1-x}dx
integral of (cos(4x)cos(4x))/4
\int\:\frac{\cos(4x)\cos(4x)}{4}dx
derivative of (4-sec(x))/(tan(x))
derivative\:\frac{4-\sec(x)}{\tan(x)}
d/(ds)(s/(s^2+2))
\frac{d}{ds}(\frac{s}{s^{2}+2})
limit as x approaches-1 of 3/(x+1)
\lim\:_{x\to\:-1}(\frac{3}{x+1})
integral from 0 to 1 of sin(2x)
\int\:_{0}^{1}\sin(2x)dx
limit as x approaches 0 of 1/(ln(1+x))-1/x
\lim\:_{x\to\:0}(\frac{1}{\ln(1+x)}-\frac{1}{x})
integral of 12xsec^2(x)
\int\:12x\sec^{2}(x)dx
(\partial)/(\partial y)((x+2y^3)^{1/3})
\frac{\partial\:}{\partial\:y}((x+2y^{3})^{\frac{1}{3}})
integral of 7\sqrt[3]{x}
\int\:7\sqrt[3]{x}dx
derivative of (x^4+3x)^{-1}
derivative\:(x^{4}+3x)^{-1}
integral from 0 to pi/2 of 1
\int\:_{0}^{\frac{π}{2}}1dθ
derivative of x^2+(3456/x)
\frac{d}{dx}(x^{2}+\frac{3456}{x})
inverse oflaplace 1/(s(s^2+81))
inverselaplace\:\frac{1}{s(s^{2}+81)}
d/(dy)(sqrt((w(x+y))/(xy)))
\frac{d}{dy}(\sqrt{\frac{w(x+y)}{xy}})
integral from 1 to 4 of (x^2+4)/(5x-x^2)
\int\:_{1}^{4}\frac{x^{2}+4}{5x-x^{2}}dx
derivative of (-2x^2+2x+3(-x^2-3x-4))
\frac{d}{dx}((-2x^{2}+2x+3)(-x^{2}-3x-4))
derivative of (dy/(dx))+81y=0
\frac{d}{dx}(\frac{dy}{dx})+81y=0
integral of cos(u/v)
\int\:\cos(\frac{u}{v})du
limit as x approaches+0 of (sin(0))/0
\lim\:_{x\to\:+0}(\frac{\sin(0)}{0})
integral of 6t^4e^{-t^5}
\int\:6t^{4}e^{-t^{5}}dt
laplacetransform 4e^{((2t)/3)}
laplacetransform\:4e^{(\frac{2t}{3})}
integral of 1/(x^3sqrt(x^2-25))
\int\:\frac{1}{x^{3}\sqrt{x^{2}-25}}dx
derivative of (sqrt(t))/(2t-3)
derivative\:\frac{\sqrt{t}}{2t-3}
tangent of 10+(20)/(x+1),\at x=3
tangent\:10+\frac{20}{x+1},\at\:x=3
limit as x approaches pi/2 of cos(pi+x)
\lim\:_{x\to\:\frac{π}{2}}(\cos(π+x))
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