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Popular Calculus Problems
derivative of x(x^2+x+1^3)
\frac{d}{dx}(x(x^{2}+x+1)^{3})
integral of sqrt(t^2+t)
\int\:\sqrt{t^{2}+t}dt
integral of x-2y
\int\:x-2y
inverse oflaplace-1/(s(s-1)(2s+1)(s+2))
inverselaplace\:-\frac{1}{s(s-1)(2s+1)(s+2)}
integral from 0 to 7 of 2pix(7x-x^2)
\int\:_{0}^{7}2πx(7x-x^{2})dx
3(dy)/(dx)+5y=1
3\frac{dy}{dx}+5y=1
derivative of f(x)= 3/(\sqrt[4]{x^3)}
derivative\:f(x)=\frac{3}{\sqrt[4]{x^{3}}}
2y^'=e^{x/2}+y
2y^{\prime\:}=e^{\frac{x}{2}}+y
integral of 3^{2-x}
\int\:3^{2-x}dx
integral from 8/3 to 4 of 3t-8
\int\:_{\frac{8}{3}}^{4}3t-8dt
derivative of ln((ax+1/(ax-1)))
\frac{d}{dx}(\ln(\frac{ax+1}{ax-1}))
derivative of f(x)=3x+3/x
derivative\:f(x)=3x+\frac{3}{x}
derivative of (e^x/(1-x))
\frac{d}{dx}(\frac{e^{x}}{1-x})
derivative of f(x)=(x-2/x)
derivative\:f(x)=(x-\frac{2}{x})
derivative of ((e^x)/(1+x^2))
\frac{d}{dx}(\frac{(e^{x})}{1+x^{2}})
sum from n=1 to infinity of ln(n)
\sum\:_{n=1}^{\infty\:}\ln(n)
limit as x approaches b of 7(-7)
\lim\:_{x\to\:b}(7(-7))
(dx)/(dt)= 1/(xe^{t+2x)}
\frac{dx}{dt}=\frac{1}{xe^{t+2x}}
limit as a approaches 0 of ln(a)
\lim\:_{a\to\:0}(\ln(a))
sum from n=1 to infinity of (9n^7)/(n!)
\sum\:_{n=1}^{\infty\:}\frac{9n^{7}}{n!}
(dx)/(dt)=-(x^2-x),x(0)=2
\frac{dx}{dt}=-(x^{2}-x),x(0)=2
integral from 0 to 3 of |2x-3|
\int\:_{0}^{3}\left|2x-3\right|dx
y^{''}-y^'-6y=0,y(0)=2,y^'(0)=2
y^{\prime\:\prime\:}-y^{\prime\:}-6y=0,y(0)=2,y^{\prime\:}(0)=2
integral from 1 to 3 of (2x^2-2x+3)
\int\:_{1}^{3}(2x^{2}-2x+3)dx
integral of sin((npix)/l)
\int\:\sin(\frac{nπx}{l})dx
integral from 0 to 3y-5 of xy^2
\int\:_{0}^{3y-5}xy^{2}dx
integral of e^{-y^2}
\int\:e^{-y^{2}}dy
tangent of y= 2/x ,(-3,-2/3)
tangent\:y=\frac{2}{x},(-3,-\frac{2}{3})
y^'y^{''}=2
y^{\prime\:}y^{\prime\:\prime\:}=2
laplacetransform e^{-2t}(3t)^2
laplacetransform\:e^{-2t}(3t)^{2}
derivative of (f(x(3x))^2+5)
\frac{d}{dx}((f(x)(3x))^{2}+5)
limit as x approaches 2 of 5x^2-3x+1
\lim\:_{x\to\:2}(5x^{2}-3x+1)
derivative of ln(xsqrt(4x-1))
\frac{d}{dx}(\ln(x\sqrt{4x-1}))
limit as x approaches+0 of (sin^2(x))/x
\lim\:_{x\to\:+0}(\frac{\sin^{2}(x)}{x})
integral from 3 to 5 of e^x
\int\:_{3}^{5}e^{x}dx
area y=-2sqrt(x),y=2sqrt(x),x=0,x=16
area\:y=-2\sqrt{x},y=2\sqrt{x},x=0,x=16
tangent of f(x)=8x^2+3x
tangent\:f(x)=8x^{2}+3x
(\partial)/(\partial x)(2y-1/x+cos(3x))
\frac{\partial\:}{\partial\:x}(2y-\frac{1}{x}+\cos(3x))
integral of x^3sqrt(x^4+9)
\int\:x^{3}\sqrt{x^{4}+9}dx
(\partial)/(\partial y)(2xy^2-3)
\frac{\partial\:}{\partial\:y}(2xy^{2}-3)
limit as x approaches 1 of (x+4)/(x+2)
\lim\:_{x\to\:1}(\frac{x+4}{x+2})
derivative of sqrt(4+\sqrt{3x)}
\frac{d}{dx}(\sqrt{4+\sqrt{3x}})
limit as x approaches infinity of 1-2x
\lim\:_{x\to\:\infty\:}(1-2x)
derivative of e^xx+e^x
\frac{d}{dx}(e^{x}x+e^{x})
(dy)/(dx)=((3x^2+4x-4))/(2y-4)
\frac{dy}{dx}=\frac{(3x^{2}+4x-4)}{2y-4}
derivative of 2tan(θ)
derivative\:2\tan(θ)
(d^2)/(dx^2)(3-x^2)
\frac{d^{2}}{dx^{2}}(3-x^{2})
derivative of (x-1^5)
\frac{d}{dx}((x-1)^{5})
integral of arctan(x)+C
\int\:\arctan(x)+Cdx
y^'+2xy+xy^4=0
y^{\prime\:}+2xy+xy^{4}=0
taylor 8/(3x+2),5
taylor\:\frac{8}{3x+2},5
integral of 1/(sqrt(t^2-4t+20))
\int\:\frac{1}{\sqrt{t^{2}-4t+20}}dt
derivative of (ln(e^x)/x)
\frac{d}{dx}(\frac{\ln(e^{x})}{x})
integral of 6x^2+3
\int\:6x^{2}+3dx
(\partial)/(\partial x)(6x+y)
\frac{\partial\:}{\partial\:x}(6x+y)
integral of x^2+1
\int\:x^{2}+1dx
derivative of (6x+4x^2/((3+4x)^2))
\frac{d}{dx}(\frac{6x+4x^{2}}{(3+4x)^{2}})
y^'+5e^{x+y}=0
y^{\prime\:}+5e^{x+y}=0
derivative of f(x)=(sqrt(x))/(4+x)
derivative\:f(x)=\frac{\sqrt{x}}{4+x}
integral of 1/((x+1)(x^2+1))
\int\:\frac{1}{(x+1)(x^{2}+1)}dx
integral of x^3sqrt(x^2-9)
\int\:x^{3}\sqrt{x^{2}-9}dx
(dy)/(dx)=2^{x-y},y(-3)=-5
\frac{dy}{dx}=2^{x-y},y(-3)=-5
integral of (4x+8)/((x+5)^2)
\int\:\frac{4x+8}{(x+5)^{2}}dx
derivative of 1/(4x^{3/4)}
derivative\:\frac{1}{4x^{\frac{3}{4}}}
slope of (-7.4)(-4.1)
slope\:(-7.4)(-4.1)
tangent of-sin(x)
tangent\:-\sin(x)
inverse oflaplace (2/(2s+1))-(1/s)
inverselaplace\:(\frac{2}{2s+1})-(\frac{1}{s})
(y^2+xy)dx-x^2dy=0
(y^{2}+xy)dx-x^{2}dy=0
integral of (1/t)
\int\:(\frac{1}{t})dt
limit as x approaches infinity of x*(-2)
\lim\:_{x\to\:\infty\:}(x\cdot\:(-2))
derivative of 5sin(5x)
\frac{d}{dx}(5\sin(5x))
limit as x approaches 5 of (sqrt(x+4-3))/(x-5)
\lim\:_{x\to\:5}(\frac{\sqrt{x+4-3}}{x-5})
integral of x^3-4x^2-x+4
\int\:x^{3}-4x^{2}-x+4dx
derivative of 4sin(tan(2x+1))
\frac{d}{dx}(4\sin(\tan(2x+1)))
integral of x*(x+5)^4
\int\:x\cdot\:(x+5)^{4}dx
integral of (3x^2+1)^36x
\int\:(3x^{2}+1)^{3}6xdx
integral of (a^2)/(xsqrt(x^2-a^2))
\int\:\frac{a^{2}}{x\sqrt{x^{2}-a^{2}}}dx
integral of (3x-2)e^{3x}
\int\:(3x-2)e^{3x}dx
area x^6,[0,1]
area\:x^{6},[0,1]
integral of x/(sqrt(x+23))
\int\:\frac{x}{\sqrt{x+23}}dx
integral of (sin(x))^2(cos(x))^4
\int\:(\sin(x))^{2}(\cos(x))^{4}dx
-y^'-y=e^x
-y^{\prime\:}-y=e^{x}
sum from n=1 to infinity of-1
\sum\:_{n=1}^{\infty\:}-1
(dy)/(dx)=y+2
\frac{dy}{dx}=y+2
f(x)=4sin(2x)-3cos(3x)
f(x)=4\sin(2x)-3\cos(3x)
integral from 1/5 to 7 of 14xln(5x)
\int\:_{\frac{1}{5}}^{7}14x\ln(5x)dx
integral of 4sin(2x)-3cos(6x)
\int\:4\sin(2x)-3\cos(6x)dx
integral from 0 to pi/3 of 49sin^2(x)
\int\:_{0}^{\frac{π}{3}}49\sin^{2}(x)dx
integral of (x^3-1)/((2x^4-8x)^{3/2)}
\int\:\frac{x^{3}-1}{(2x^{4}-8x)^{\frac{3}{2}}}dx
derivative of 2cos(x+cos^2(x))
\frac{d}{dx}(2\cos(x)+\cos^{2}(x))
(\partial)/(\partial x)((c^2-x^2)/(2x))
\frac{\partial\:}{\partial\:x}(\frac{c^{2}-x^{2}}{2x})
integral of 1/((x^2+25)^{5/2)}
\int\:\frac{1}{(x^{2}+25)^{\frac{5}{2}}}dx
f(t)=e^{tan(pit)}
f(t)=e^{\tan(πt)}
derivative of y=(6x^2+2x+6)/(sqrt(x))
derivative\:y=\frac{6x^{2}+2x+6}{\sqrt{x}}
(dy)/(dx)-2xy=10x
\frac{dy}{dx}-2xy=10x
(\partial)/(\partial x)(3xy)
\frac{\partial\:}{\partial\:x}(3xy)
integral of cos(4x)cos(6x)
\int\:\cos(4x)\cos(6x)dx
integral of 1/((x^2+R^2)^{3/2)}
\int\:\frac{1}{(x^{2}+R^{2})^{\frac{3}{2}}}dx
2y+xy^'=0
2y+xy^{\prime\:}=0
derivative of 2/(x^3-3/(x^2))
\frac{d}{dx}(\frac{2}{x^{3}}-\frac{3}{x^{2}})
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