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Popular Calculus Problems
integral of (x^2-14x-5)/((x-1)^2(x^2+1))
\int\:\frac{x^{2}-14x-5}{(x-1)^{2}(x^{2}+1)}dx
derivative of f(x)=sqrt(9x+5)
derivative\:f(x)=\sqrt{9x+5}
y^'=t^2
y^{\prime\:}=t^{2}
derivative of sqrt(x^2+2x+2)
\frac{d}{dx}(\sqrt{x^{2}+2x+2})
limit as x approaches 2 of sin(2x)
\lim\:_{x\to\:2}(\sin(2x))
integral of sqrt(r^2-x^2)
\int\:\sqrt{r^{2}-x^{2}}dx
(dy)/(dx)+y=-1
\frac{dy}{dx}+y=-1
(dy)/(dx)=6-x
\frac{dy}{dx}=6-x
tangent of f(x)=2x^2-10x+9,(2,-3)
tangent\:f(x)=2x^{2}-10x+9,(2,-3)
limit as x approaches 1 of ((1))/((1+x))-((3))/((1-x^{(3)))}
\lim\:_{x\to\:1}(\frac{(1)}{(1+x)}-\frac{(3)}{(1-x^{(3)})})
(x^2+y^2)dx+2xydy=0
(x^{2}+y^{2})dx+2xydy=0
integral of 30(16-x^2)
\int\:30(16-x^{2})dx
integral of (x^3-5x-11)/(x^2-x-6)
\int\:\frac{x^{3}-5x-11}{x^{2}-x-6}dx
sum from n=1 to infinity of (5n)/(n^2+2)
\sum\:_{n=1}^{\infty\:}\frac{5n}{n^{2}+2}
derivative of 1+9x^4
\frac{d}{dx}(1+9x^{4})
derivative of sqrt(x^3)-1/(x^7)
\frac{d}{dx}(\sqrt{x^{3}}-\frac{1}{x^{7}})
(dy)/(dx)-e^{x+y}=0
\frac{dy}{dx}-e^{x+y}=0
limit as x approaches infinity of (((4+x))/x)^{3+x/3}
\lim\:_{x\to\:\infty\:}((\frac{(4+x)}{x})^{3+\frac{x}{3}})
x^2-1xy+x(dy)/(dx)=0
x^{2}-1xy+x\frac{dy}{dx}=0
integral of ln|x-2|
\int\:\ln\left|x-2\right|dx
y^'=sqrt(yx),y(1)=7
y^{\prime\:}=\sqrt{yx},y(1)=7
integral from 4 to 9 of (3sqrt(x))
\int\:_{4}^{9}(3\sqrt{x})dx
derivative of y=sqrt(x^2+2)
derivative\:y=\sqrt{x^{2}+2}
limit as x approaches infinity of (x^2)/(e^{x^3)}
\lim\:_{x\to\:\infty\:}(\frac{x^{2}}{e^{x^{3}}})
derivative of 17cos(x)
\frac{d}{dx}(17\cos(x))
limit as x approaches-2 of (x^2+5)/(x+2)
\lim\:_{x\to\:-2}(\frac{x^{2}+5}{x+2})
laplacetransform F(T)= 7/5
laplacetransform\:F(T)=\frac{7}{5}
y^{''}-a(y+b)=0
y^{\prime\:\prime\:}-a(y+b)=0
derivative of f(x)=x^3+e^{4x}x^2
derivative\:f(x)=x^{3}+e^{4x}x^{2}
integral of 1/(x^2-6x+10)
\int\:\frac{1}{x^{2}-6x+10}dx
derivative of x^3+(3-3x^2^2+4)
\frac{d}{dx}(x^{3}+(3-3x^{2})^{2}+4)
(dy)/(dx)+y=x^2-2
\frac{dy}{dx}+y=x^{2}-2
limit as x approaches 2 of sin((pix)/2)
\lim\:_{x\to\:2}(\sin(\frac{πx}{2}))
integral of 1/(u^{3/2)}
\int\:\frac{1}{u^{\frac{3}{2}}}du
derivative of 2sin^2(6x^4)
derivative\:2\sin^{2}(6x^{4})
derivative of 6x+8
derivative\:6x+8
integral of x*e^2
\int\:x\cdot\:e^{2}dx
derivative of (x-4/(x^2+1))
\frac{d}{dx}(\frac{x-4}{x^{2}+1})
sum from n=0 to infinity of (-1/2)^{n+1}
\sum\:_{n=0}^{\infty\:}(-\frac{1}{2})^{n+1}
derivative of In(3x)
\frac{d}{dx}(In(3x))
integral of x^{-1/2}e^{-x}
\int\:x^{-\frac{1}{2}}e^{-x}dx
(\partial)/(\partial y)(x^{0.5}y^{0.5})
\frac{\partial\:}{\partial\:y}(x^{0.5}y^{0.5})
derivative of cos(3x^2-2x)
\frac{d}{dx}(\cos(3x^{2}-2x))
integral of (x^3)/(sqrt(5x^4-1))
\int\:\frac{x^{3}}{\sqrt{5x^{4}-1}}dx
integral of (ln(p))/(p^3)
\int\:\frac{\ln(p)}{p^{3}}dp
integral of (3x+4)^3
\int\:(3x+4)^{3}dx
sum from n=0 to infinity of 16+24+36+54
\sum\:_{n=0}^{\infty\:}16+24+36+54
(\partial)/(\partial x)(e^{5xy}5y)
\frac{\partial\:}{\partial\:x}(e^{5xy}5y)
derivative of 1/(sqrt(x^2-1))
derivative\:\frac{1}{\sqrt{x^{2}-1}}
derivative of 1+1/(sqrt(x))
\frac{d}{dx}(1+\frac{1}{\sqrt{x}})
inverse oflaplace (10)/(s^2)-1
inverselaplace\:\frac{10}{s^{2}}-1
derivative of f(x)=(2x^2+4x)^3
derivative\:f(x)=(2x^{2}+4x)^{3}
xy^'=y+8x^2sin(x),y(pi)=0
xy^{\prime\:}=y+8x^{2}\sin(x),y(π)=0
3x^2+4xy+(2y+2x^2)(dy)/(dx)=0
3x^{2}+4xy+(2y+2x^{2})\frac{dy}{dx}=0
x^2(dy)/(dx)+2xy-y^3=0
x^{2}\frac{dy}{dx}+2xy-y^{3}=0
derivative of (sqrt(10)/(x^7))
\frac{d}{dx}(\frac{\sqrt{10}}{x^{7}})
d/(dt)(e^{-5t})
\frac{d}{dt}(e^{-5t})
du=-e^{-z}dz
du=-e^{-z}dz
limit as x approaches 0-of 1/(3x)
\lim\:_{x\to\:0-}(\frac{1}{3x})
(\partial)/(\partial x)(x/(xy)+y/(xy))
\frac{\partial\:}{\partial\:x}(\frac{x}{xy}+\frac{y}{xy})
integral of (sin^3(x))/(sqrt(cos(x)))
\int\:\frac{\sin^{3}(x)}{\sqrt{\cos(x)}}dx
x^2y^'+4/3 xy=3cos(3x)y^{-1/2}
x^{2}y^{\prime\:}+\frac{4}{3}xy=3\cos(3x)y^{-\frac{1}{2}}
area y=sqrt(3x),x=3,y=1
area\:y=\sqrt{3x},x=3,y=1
y^'+y=xy^2
y^{\prime\:}+y=xy^{2}
limit as x approaches infinity of 2x^2+5
\lim\:_{x\to\:\infty\:}(2x^{2}+5)
integral of (x^2-x+2)/(x^3-x^2+x-1)
\int\:\frac{x^{2}-x+2}{x^{3}-x^{2}+x-1}dx
(\partial)/(\partial x)(cos(z)+xy^2)
\frac{\partial\:}{\partial\:x}(\cos(z)+xy^{2})
integral from 0 to 7 of x^3e^x
\int\:_{0}^{7}x^{3}e^{x}dx
tangent of f(x)= 1/(4x^{3/2)},\at x=4
tangent\:f(x)=\frac{1}{4x^{\frac{3}{2}}},\at\:x=4
(dy)/(dx)=6x^2y
\frac{dy}{dx}=6x^{2}y
integral of e^{r^2}
\int\:e^{r^{2}}dr
limit as x approaches 0 of (ln(1))/x
\lim\:_{x\to\:0}(\frac{\ln(1)}{x})
integral of (x^7-2x^6)^5(7x^6-12x^5)
\int\:(x^{7}-2x^{6})^{5}(7x^{6}-12x^{5})dx
sum from n=1 to infinity of ne^{-8n}
\sum\:_{n=1}^{\infty\:}ne^{-8n}
derivative of tan^4(x)
derivative\:\tan^{4}(x)
(\partial)/(\partial x)((2+3x)(3-2x))
\frac{\partial\:}{\partial\:x}((2+3x)(3-2x))
y^'=((x-y))/((x+2y))
y^{\prime\:}=\frac{(x-y)}{(x+2y)}
integral of 1/(x^2)ln(x)
\int\:\frac{1}{x^{2}}\ln(x)dx
d/(dy)((ln(y))/(2sqrt(y))+1/(sqrt(y)))
\frac{d}{dy}(\frac{\ln(y)}{2\sqrt{y}}+\frac{1}{\sqrt{y}})
limit as x approaches-2 of-10
\lim\:_{x\to\:-2}(-10)
xy^'+y=y^2,y(1)=-9
xy^{\prime\:}+y=y^{2},y(1)=-9
derivative of cosh(3x)
\frac{d}{dx}(\cosh(3x))
limit as x approaches 1-of (x+1)/(x-1)
\lim\:_{x\to\:1-}(\frac{x+1}{x-1})
area x^2+1,x+3
area\:x^{2}+1,x+3
(d^2)/(dx^2)(xcos(x))
\frac{d^{2}}{dx^{2}}(x\cos(x))
integral of (sin(2x))^2
\int\:(\sin(2x))^{2}dx
integral of rsin(r^2)
\int\:r\sin(r^{2})dr
(dy)/(dt)=y+2e^t
\frac{dy}{dt}=y+2e^{t}
(\partial)/(\partial x)(x^2+xy+y^2)
\frac{\partial\:}{\partial\:x}(x^{2}+xy+y^{2})
integral of (2x^2+6)/((x^2-2x+2)^2)
\int\:\frac{2x^{2}+6}{(x^{2}-2x+2)^{2}}dx
limit as x approaches infinity of ln(2x)
\lim\:_{x\to\:\infty\:}(\ln(2x))
area x=-1,x=3,y=x^3-1,y=0
area\:x=-1,x=3,y=x^{3}-1,y=0
derivative of x^8ln(5x)
\frac{d}{dx}(x^{8}\ln(5x))
derivative of 1200sqrt(x^2-0.2x)
\frac{d}{dx}(1200\sqrt{x^{2}-0.2x})
limit as x approaches 2 of (x^2)/(x+2)
\lim\:_{x\to\:2}(\frac{x^{2}}{x+2})
derivative of x^3-12x-5
\frac{d}{dx}(x^{3}-12x-5)
limit as x approaches 5 of 6x
\lim\:_{x\to\:5}(6x)
laplacetransform 2e^{-2t}sin(2t)
laplacetransform\:2e^{-2t}\sin(2t)
limit as n approaches infinity of n^2-n
\lim\:_{n\to\:\infty\:}(n^{2}-n)
inverse oflaplace 1/(16s^2+5s+20)
inverselaplace\:\frac{1}{16s^{2}+5s+20}
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