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Popular Calculus Problems
(\partial)/(\partial x)(cos(x^2))
\frac{\partial\:}{\partial\:x}(\cos(x^{2}))
integral of (x^2+3x-2)/(sqrt(x))
\int\:\frac{x^{2}+3x-2}{\sqrt{x}}dx
integral of (2x)/(sqrt(x^4+1))
\int\:\frac{2x}{\sqrt{x^{4}+1}}dx
integral of 5x^2sqrt(a^2-x^2)
\int\:5x^{2}\sqrt{a^{2}-x^{2}}dx
limit as x approaches pi/6 of cot(2x)
\lim\:_{x\to\:\frac{π}{6}}(\cot(2x))
x(dy)/(dx)-y=2020x^2
x\frac{dy}{dx}-y=2020x^{2}
integral from 0 to x^2 of sin(sqrt(t))
\int\:_{0}^{x^{2}}\sin(\sqrt{t})dt
area 5/x , 5/(x^2)1,7
area\:\frac{5}{x},\frac{5}{x^{2}}1,7
integral of (4x^2-3x+4)/(x(x^2+4))
\int\:\frac{4x^{2}-3x+4}{x(x^{2}+4)}dx
area y= 1/2 x^2, 1/(x^2+1)
area\:y=\frac{1}{2}x^{2},\frac{1}{x^{2}+1}
(1+x)(dy)/(dx)-xy=x^2+x
(1+x)\frac{dy}{dx}-xy=x^{2}+x
(\partial)/(\partial y)(3x^2+2xy)
\frac{\partial\:}{\partial\:y}(3x^{2}+2xy)
d/(da)(sin^3(a)+cos^3(a))
\frac{d}{da}(\sin^{3}(a)+\cos^{3}(a))
tangent of f(x)= 1/(5+2x),(2, 1/9)
tangent\:f(x)=\frac{1}{5+2x},(2,\frac{1}{9})
f(x)=3x^2-2
f(x)=3x^{2}-2
integral of (3y^4+3y^2-1)/(y^3+y)
\int\:\frac{3y^{4}+3y^{2}-1}{y^{3}+y}dy
d/(dy)(y(y-sin(x)))
\frac{d}{dy}(y(y-\sin(x)))
limit as x approaches 10 of 15
\lim\:_{x\to\:10}(15)
36y^{''}+12y^'+y=0
36y^{\prime\:\prime\:}+12y^{\prime\:}+y=0
integral from-2pi to 2pi of x^2sin(x)
\int\:_{-2π}^{2π}x^{2}\sin(x)dx
integral of sec(x)cos(x)
\int\:\sec(x)\cos(x)dx
y^{'''}+9y^'=0
y^{\prime\:\prime\:\prime\:}+9y^{\prime\:}=0
inverse oflaplace 1/((s-1)^2(s+1))
inverselaplace\:\frac{1}{(s-1)^{2}(s+1)}
tangent of f(x)= 1/(1-x),\at x=2
tangent\:f(x)=\frac{1}{1-x},\at\:x=2
(dy)/(dt)=y-4t+(y-4t)^2+4
\frac{dy}{dt}=y-4t+(y-4t)^{2}+4
integral of x(2x^2+1)^5
\int\:x(2x^{2}+1)^{5}dx
slope of (-3,5),(2,-1)
slope\:(-3,5),(2,-1)
limit as x approaches-2-of 3/(x^2-4)
\lim\:_{x\to\:-2-}(\frac{3}{x^{2}-4})
y^'=((x^2+2y^2))/(xy)
y^{\prime\:}=\frac{(x^{2}+2y^{2})}{xy}
derivative of ae^{-b^2x^2}
derivative\:ae^{-b^{2}x^{2}}
derivative of e^2
derivative\:e^{2}
(\partial)/(\partial x)(3x^2y^2)
\frac{\partial\:}{\partial\:x}(3x^{2}y^{2})
laplacetransform 3t^2+3t+1
laplacetransform\:3t^{2}+3t+1
derivative of f(x)=x^6*e^x
derivative\:f(x)=x^{6}\cdot\:e^{x}
derivative of f(x)= 3/(4x)
derivative\:f(x)=\frac{3}{4x}
derivative of (4x-5)^3(1-x^5)^2
derivative\:(4x-5)^{3}(1-x^{5})^{2}
y^'=(x+y)^2,y(0)=1
y^{\prime\:}=(x+y)^{2},y(0)=1
laplacetransform sin(x)
laplacetransform\:\sin(x)
(\partial)/(\partial x)(2+yln(4+x(y)^2))
\frac{\partial\:}{\partial\:x}(2+y\ln(4+x(y)^{2}))
derivative of (xysin(x-y)/(1+x^2+y^2))
\frac{d}{dx}(\frac{xy\sin(x-y)}{1+x^{2}+y^{2}})
derivative of f(x)=3^{sin(3x)}
derivative\:f(x)=3^{\sin(3x)}
integral of (2+w^4)/(w^3+9w)
\int\:\frac{2+w^{4}}{w^{3}+9w}dw
(dy)/(dx)+y/x = 1/x
\frac{dy}{dx}+\frac{y}{x}=\frac{1}{x}
derivative of sqrt(sin^3(4x))
derivative\:\sqrt{\sin^{3}(4x)}
y^'-5y=0
y^{\prime\:}-5y=0
derivative of 1/((1-2500x^4))
\frac{d}{dx}(\frac{1}{(1-2500x)^{4}})
integral of 1/(t^4)
\int\:\frac{1}{t^{4}}dt
sum from n=1 to infinity of n^7(1+n^8)^0
\sum\:_{n=1}^{\infty\:}n^{7}(1+n^{8})^{0}
sum from n=1 to infinity of-15/2*(2/3)^n
\sum\:_{n=1}^{\infty\:}-\frac{15}{2}\cdot\:(\frac{2}{3})^{n}
inverse oflaplace (s^2)/(s^2+1)
inverselaplace\:\frac{s^{2}}{s^{2}+1}
(\partial)/(\partial x)(3x^3-9x+9xy^2)
\frac{\partial\:}{\partial\:x}(3x^{3}-9x+9xy^{2})
integral from 1 to 2 of (e^{1/(x^3)})/(x^4)
\int\:_{1}^{2}\frac{e^{\frac{1}{x^{3}}}}{x^{4}}dx
normal of y=(3x^2+1)^2,(0,1)
normal\:y=(3x^{2}+1)^{2},(0,1)
integral of (x^2)/(sqrt(4-9x^2))
\int\:\frac{x^{2}}{\sqrt{4-9x^{2}}}dx
(\partial)/(\partial x)(sqrt(x^2-y^2-z^2))
\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}-y^{2}-z^{2}})
derivative of f(x)=2x^2-1
derivative\:f(x)=2x^{2}-1
limit as x approaches 0+of (1+x^2)^{1/x}
\lim\:_{x\to\:0+}((1+x^{2})^{\frac{1}{x}})
y^{''}+16y=cos(4x)+sin(4x)
y^{\prime\:\prime\:}+16y=\cos(4x)+\sin(4x)
integral of+(x^2)/(1-2x^3)
\int\:+\frac{x^{2}}{1-2x^{3}}dx
sum from n=0 to infinity of ((n-1))/n
\sum\:_{n=0}^{\infty\:}\frac{(n-1)}{n}
integral from 1 to 3 of (x^2-4x+3)
\int\:_{1}^{3}(x^{2}-4x+3)dx
derivative of 2x^2-7x
\frac{d}{dx}(2x^{2}-7x)
integral of (x^2)/(e^{7x)}
\int\:\frac{x^{2}}{e^{7x}}dx
integral of 1/(x^2-5x+6)
\int\:\frac{1}{x^{2}-5x+6}dx
limit as x approaches-2 of (x+2)/(x-2)
\lim\:_{x\to\:-2}(\frac{x+2}{x-2})
limit as x approaches infinity of 7/x
\lim\:_{x\to\:\infty\:}(\frac{7}{x})
tangent of (3x+1)/(x^2+1)
tangent\:\frac{3x+1}{x^{2}+1}
integral of (272x^2+4)/(x^2(x-4))
\int\:\frac{272x^{2}+4}{x^{2}(x-4)}dx
(2xy-3x^2)dx+(x^2-2y)dy=0
(2xy-3x^{2})dx+(x^{2}-2y)dy=0
(dy)/(dx)+y^5x+3y=0
\frac{dy}{dx}+y^{5}x+3y=0
y^2(dy}{dx}+y^3x^{-1}=\frac{cos(x))/x
y^{2}\frac{dy}{dx}+y^{3}x^{-1}=\frac{\cos(x)}{x}
inverse oflaplace 2/((s-1)^2)
inverselaplace\:\frac{2}{(s-1)^{2}}
integral of (9x)/(3x+1)
\int\:\frac{9x}{3x+1}dx
tangent of f(x)=(sqrt(x))/(x+3),\at x=4
tangent\:f(x)=\frac{\sqrt{x}}{x+3},\at\:x=4
inverse oflaplace 1/(s(s-2)^2)
inverselaplace\:\frac{1}{s(s-2)^{2}}
tangent of y= x/(sqrt(64+x^2)),(0,0)
tangent\:y=\frac{x}{\sqrt{64+x^{2}}},(0,0)
derivative of 2sin(x-1)
\frac{d}{dx}(2\sin(x)-1)
integral of (ln(xy))
\int\:(\ln(xy))dx
derivative of x(a+x^2(a-x)^3)
\frac{d}{dx}(x(a+x)^{2}(a-x)^{3})
derivative of sqrt(18t^2+9)
derivative\:\sqrt{18t^{2}+9}
derivative of tan(3xcsc(3x))
\frac{d}{dx}(\tan(3x)\csc(3x))
integral of 15(3x-7)^{3/2}
\int\:15(3x-7)^{\frac{3}{2}}dx
derivative of 2e^x-3x^e+sqrt(e)
\frac{d}{dx}(2e^{x}-3x^{e}+\sqrt{e})
limit as x approaches 0 of (2+sin(x))/x
\lim\:_{x\to\:0}(\frac{2+\sin(x)}{x})
integral of sqrt(2x+5)
\int\:\sqrt{2x+5}dx
x(dy)/(dx)+y=4x+1,y(1)=8
x\frac{dy}{dx}+y=4x+1,y(1)=8
limit as x approaches 6 of x-5
\lim\:_{x\to\:6}(x-5)
integral of (x+1)
\int\:(x+1)dx
limit as x approaches-2 of (x+1)/(x^3+8)
\lim\:_{x\to\:-2}(\frac{x+1}{x^{3}+8})
derivative of (-2cos(2x-sin(3x))^2)
\frac{d}{dx}((-2\cos(2x)-\sin(3x))^{2})
limit as x approaches 4 of (2x^3-128)/(sqrt(x)-2)
\lim\:_{x\to\:4}(\frac{2x^{3}-128}{\sqrt{x}-2})
derivative of 1/(7x^2)
\frac{d}{dx}(\frac{1}{7x^{2}})
tangent of x+7/x
tangent\:x+\frac{7}{x}
integral of (ln(3x))/(x^2)
\int\:\frac{\ln(3x)}{x^{2}}dx
derivative of 2e^{2x-1}
\frac{d}{dx}(2e^{2x-1})
integral from-2 to 3 of (44)/(x^4)
\int\:_{-2}^{3}\frac{44}{x^{4}}dx
taylor x/(1-x^2),0
taylor\:\frac{x}{1-x^{2}},0
integral of 3x^2sin(x)
\int\:3x^{2}\sin(x)dx
integral from 4 to infinity of 1/(x^2+x)
\int\:_{4}^{\infty\:}\frac{1}{x^{2}+x}dx
(\partial)/(\partial x)((1+y)/(y+x))
\frac{\partial\:}{\partial\:x}(\frac{1+y}{y+x})
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