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Popular Calculus Problems
integral of 2x(8x^2-20)^2
\int\:2x(8x^{2}-20)^{2}dx
limit as x approaches 1+of 1+1/(x-1)
\lim\:_{x\to\:1+}(1+\frac{1}{x-1})
integral of sqrt(7x+5)
\int\:\sqrt{7x+5}dx
derivative of f(x)=sin(x^5)
derivative\:f(x)=\sin(x^{5})
limit as x approaches-2 of 1/((2+x)^3)
\lim\:_{x\to\:-2}(\frac{1}{(2+x)^{3}})
integral of 13xsin(x)
\int\:13x\sin(x)dx
y^'=y(xy^2+5)
y^{\prime\:}=y(xy^{2}+5)
integral of 3(sqrt(x))cos(x/3)
\int\:3(\sqrt{x})\cos(\frac{x}{3})dx
derivative of (x-1*sqrt(x^2-2x+2))
\frac{d}{dx}((x-1)\cdot\:\sqrt{x^{2}-2x+2})
integral of 2/(x^3+x^2)
\int\:\frac{2}{x^{3}+x^{2}}dx
d/(dy)(y^{2/3})
\frac{d}{dy}(y^{\frac{2}{3}})
derivative of y=(t^2+8)^2-2(t^2+8)
derivative\:y=(t^{2}+8)^{2}-2(t^{2}+8)
(\partial)/(\partial z)(e^{-x^2-2y^2-3z^2})
\frac{\partial\:}{\partial\:z}(e^{-x^{2}-2y^{2}-3z^{2}})
integral of (3x+1)^{11}
\int\:(3x+1)^{11}dx
integral from 0 to 6 of xe^{-x}
\int\:_{0}^{6}xe^{-x}dx
derivative of \sqrt[5]{ln(x^3+1})
\frac{d}{dx}(\sqrt[5]{\ln(x^{3}+1)})
derivative of ((sqrt(5x^4+x^2))/2)
\frac{d}{dx}(\frac{(\sqrt{5x^{4}+x^{2}})}{2})
(1+x^2)(1+y^2)dx-xydy=0
(1+x^{2})(1+y^{2})dx-xydy=0
integral of (6sin(3x)-cos(2x))
\int\:(6\sin(3x)-\cos(2x))dx
integral of x-4
\int\:x-4dx
limit as x approaches 0+of 3/(x^2-x)
\lim\:_{x\to\:0+}(\frac{3}{x^{2}-x})
integral of (16s+16)/((s^2+1)(s-1)^3)
\int\:\frac{16s+16}{(s^{2}+1)(s-1)^{3}}ds
limit as x approaches 0.999 of x^2+2
\lim\:_{x\to\:0.999}(x^{2}+2)
inverse oflaplace (2s)/(s^2+6)
inverselaplace\:\frac{2s}{s^{2}+6}
integral of (5/x-4/(x^5))
\int\:(\frac{5}{x}-\frac{4}{x^{5}})dx
(dy)/(dt)= 8/7 y
\frac{dy}{dt}=\frac{8}{7}y
(\partial)/(\partial x)((2x+3)(y-2))
\frac{\partial\:}{\partial\:x}((2x+3)(y-2))
tangent of y=x^3-3x+1
tangent\:y=x^{3}-3x+1
derivative of log_{3}(sin(x^2))
\frac{d}{dx}(\log_{3}(\sin(x^{2})))
limit as x approaches-2+of sqrt(2-x)
\lim\:_{x\to\:-2+}(\sqrt{2-x})
integral of x^2sqrt(x+5)
\int\:x^{2}\sqrt{x+5}dx
integral of iny
\int\:inydy
(1+x^4)(dy}{dx}=\frac{x^3)/y
(1+x^{4})\frac{dy}{dx}=\frac{x^{3}}{y}
integral of 3e^{(3t)/2}t
\int\:3e^{\frac{3t}{2}}tdt
tangent of f(x)=4x+6sqrt(x),\at x=4
tangent\:f(x)=4x+6\sqrt{x},\at\:x=4
tangent of f(x)=-3-4x^2,(5,-103)
tangent\:f(x)=-3-4x^{2},(5,-103)
tangent of f(x)=2x^3-x^2+1,\at x=2
tangent\:f(x)=2x^{3}-x^{2}+1,\at\:x=2
derivative of sin(x)-cos(x)
derivative\:\sin(x)-\cos(x)
x(dy)/(dx)+y=x^4ln(x)
x\frac{dy}{dx}+y=x^{4}\ln(x)
limit as x approaches 2+of (x+2)/(x^2-4)
\lim\:_{x\to\:2+}(\frac{x+2}{x^{2}-4})
derivative of sqrt(5+2x)
derivative\:\sqrt{5+2x}
integral of 1/(x^2sqrt(7-x^2))
\int\:\frac{1}{x^{2}\sqrt{7-x^{2}}}dx
(\partial}{\partial t}(\frac{(s-r))/t)
\frac{\partial\:}{\partial\:t}(\frac{(s-r)}{t})
limit as x approaches 10 of ((3x^2-30x))/(x^2-100)
\lim\:_{x\to\:10}(\frac{(3x^{2}-30x)}{x^{2}-100})
integral of (5x+1)/(2x^2-x-1)
\int\:\frac{5x+1}{2x^{2}-x-1}dx
derivative of 2xe^{-x}
derivative\:2xe^{-x}
derivative of 5/12 x^{6/5}-5/8 x^{4/5}
\frac{d}{dx}(\frac{5}{12}x^{\frac{6}{5}}-\frac{5}{8}x^{\frac{4}{5}})
(\partial)/(\partial y)(5x^2-2y)
\frac{\partial\:}{\partial\:y}(5x^{2}-2y)
inverse oflaplace 1/((s^2+9)^2)
inverselaplace\:\frac{1}{(s^{2}+9)^{2}}
sum from n=1 to infinity of 9/(nln(2n))
\sum\:_{n=1}^{\infty\:}\frac{9}{n\ln(2n)}
(\partial)/(\partial y)(4ysin(x^2y))
\frac{\partial\:}{\partial\:y}(4y\sin(x^{2}y))
integral from 2 to 9 of 2/((1-x)^{2/3)}
\int\:_{2}^{9}\frac{2}{(1-x)^{\frac{2}{3}}}dx
integral from 0 to 5 of 2
\int\:_{0}^{5}2dx
integral of (2-x^2)^2
\int\:(2-x^{2})^{2}dx
derivative of sqrt(e^x+2)
\frac{d}{dx}(\sqrt{e^{x}+2})
((x+1)dy)/(dx)(x+1)y=2xe^{-x}
\frac{(x+1)dy}{dx}(x+1)y=2xe^{-x}
integral of (x^3)/((x^2+12)^3)
\int\:\frac{x^{3}}{(x^{2}+12)^{3}}dx
(dy)/(dx)= 1/(x^2y^2)
\frac{dy}{dx}=\frac{1}{x^{2}y^{2}}
maclaurin x^2e^{4x}
maclaurin\:x^{2}e^{4x}
(dy)/(dx)=e^{-ka*x},y(0)=0
\frac{dy}{dx}=e^{-ka\cdot\:x},y(0)=0
integral of (x^2-x+12)/(x^3+6x)
\int\:\frac{x^{2}-x+12}{x^{3}+6x}dx
(\partial)/(\partial x)(e^{3x}sin(cy))
\frac{\partial\:}{\partial\:x}(e^{3x}\sin(cy))
sum from n=0 to infinity of (3^n)/(2^n)
\sum\:_{n=0}^{\infty\:}\frac{3^{n}}{2^{n}}
derivative of f(x)= 1/(2-3x)
derivative\:f(x)=\frac{1}{2-3x}
derivative of ln((1+sqrt(x)/(x^4)))
\frac{d}{dx}(\ln(\frac{1+\sqrt{x}}{x^{4}}))
sum from n=6 to infinity of (3^n)/(12^n)
\sum\:_{n=6}^{\infty\:}\frac{3^{n}}{12^{n}}
integral from 0 to 15 of sqrt(t+1)
\int\:_{0}^{15}\sqrt{t+1}dt
derivative of (1+x^3Y^2Z^2)
\frac{d}{dx}((1+x^{3}Y^{2}Z)^{2})
derivative of 4^xln(4)
\frac{d}{dx}(4^{x}\ln(4))
y^'(y-x^2)=-2y
y^{\prime\:}(y-x^{2})=-2y
(\partial)/(\partial x)(ln(x^4+y^2))
\frac{\partial\:}{\partial\:x}(\ln(x^{4}+y^{2}))
y^'=7x+y,y(0)=8
y^{\prime\:}=7x+y,y(0)=8
area y=x^3,y=3x+2
area\:y=x^{3},y=3x+2
(\partial)/(\partial x)(2xy+y^3)
\frac{\partial\:}{\partial\:x}(2xy+y^{3})
integral from 0 to 1 of 1/(t+1)
\int\:_{0}^{1}\frac{1}{t+1}dt
implicit (dy)/(dx),xy=36
implicit\:\frac{dy}{dx},xy=36
(dy)/(dt)+2ty=2t
\frac{dy}{dt}+2ty=2t
integral of 1/(x^2(e^{1/x)-5)}
\int\:\frac{1}{x^{2}(e^{\frac{1}{x}}-5)}dx
integral of 1/2 x^2-2x+6
\int\:\frac{1}{2}x^{2}-2x+6dx
inverse oflaplace 3/s+(24)/(s^2)
inverselaplace\:\frac{3}{s}+\frac{24}{s^{2}}
(d^2y)/(dx)+4(dy)/(dx)-12y=0
\frac{d^{2}y}{dx}+4\frac{dy}{dx}-12y=0
(\partial)/(\partial x)(xsin(8x^2y))
\frac{\partial\:}{\partial\:x}(x\sin(8x^{2}y))
inverse oflaplace (-60)/(-2+5s)
inverselaplace\:\frac{-60}{-2+5s}
((e^x+e^{-x})/2)^'
(\frac{e^{x}+e^{-x}}{2})^{\prime\:}
tangent of y=x^{1/3}
tangent\:y=x^{\frac{1}{3}}
limit as t approaches 1 of ln(t-1)
\lim\:_{t\to\:1}(\ln(t-1))
derivative of ((x^2/4+5x-1/x)^3)
\frac{d}{dx}((\frac{x^{2}}{4}+5x-\frac{1}{x})^{3})
inverse oflaplace ((3s+5))/(2s^2+6s+4)
inverselaplace\:\frac{(3s+5)}{2s^{2}+6s+4}
integral of x^{-2}(x^6-2x^3+1)
\int\:x^{-2}(x^{6}-2x^{3}+1)dx
derivative of 3x^{-2}-1/x
\frac{d}{dx}(3x^{-2}-\frac{1}{x})
(3x^2y^2)dx+(2x^3y+4y^3)dy=0
(3x^{2}y^{2})dx+(2x^{3}y+4y^{3})dy=0
limit as x approaches-pi/3 of-2cos(x)
\lim\:_{x\to\:-\frac{π}{3}}(-2\cos(x))
derivative of sin(x^2+cos^2(x))
\frac{d}{dx}(\sin(x^{2})+\cos^{2}(x))
(\partial)/(\partial x)(2/(2x-y))
\frac{\partial\:}{\partial\:x}(\frac{2}{2x-y})
integral from 1 to infinity of 1/(x^2+5)
\int\:_{1}^{\infty\:}\frac{1}{x^{2}+5}dx
laplacetransform 5^t
laplacetransform\:5^{t}
tangent of f(x)=sqrt(x+3),\at x=1
tangent\:f(x)=\sqrt{x+3},\at\:x=1
derivative of (ln(x^5)/(ln(x^4)))
\frac{d}{dx}(\frac{\ln(x^{5})}{\ln(x^{4})})
integral from-2 to 2 of (8-2y^2)
\int\:_{-2}^{2}(8-2y^{2})dy
limit as x approaches 0 of sqrt(x^2+x)-x
\lim\:_{x\to\:0}(\sqrt{x^{2}+x}-x)
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