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Popular Calculus Problems
(\partial)/(\partial z)(xz+e^{-x^2+y})
\frac{\partial\:}{\partial\:z}(xz+e^{-x^{2}+y})
x*((dy)/(dx))+y=3
x\cdot\:(\frac{dy}{dx})+y=3
sum from n=1 to infinity of 0.5^n
\sum\:_{n=1}^{\infty\:}0.5^{n}
integral from-6 to 6 of xsqrt(36-x^2)
\int\:_{-6}^{6}x\sqrt{36-x^{2}}dx
area x^4-x^3-4x^2+3x+5,12x^2-6x-8
area\:x^{4}-x^{3}-4x^{2}+3x+5,12x^{2}-6x-8
integral of 8xe^{-x}
\int\:8xe^{-x}dx
derivative of y=sqrt(2-e^x)
derivative\:y=\sqrt{2-e^{x}}
tangent of f(x)=5-5x^2,(-2,-15)
tangent\:f(x)=5-5x^{2},(-2,-15)
f(x)=5^{1-x}
f(x)=5^{1-x}
integral of (x^2+1)/(x^3+x^2-2x)
\int\:\frac{x^{2}+1}{x^{3}+x^{2}-2x}dx
integral of (e^{2x})/(e^{2x)}
\int\:\frac{e^{2x}}{e^{2x}}dx
derivative of f(x)=((4x^5+8))/(x^3)
derivative\:f(x)=\frac{(4x^{5}+8)}{x^{3}}
derivative of f(x)=9x^{1/3}
derivative\:f(x)=9x^{\frac{1}{3}}
y^'sqrt(1-4x^2)=x
y^{\prime\:}\sqrt{1-4x^{2}}=x
y^4y^'=-3x^2y^5+x^2
y^{4}y^{\prime\:}=-3x^{2}y^{5}+x^{2}
derivative of f(t)=(8t-7)^4+(8t+7)^4
derivative\:f(t)=(8t-7)^{4}+(8t+7)^{4}
(\partial}{\partial x}(\frac{(7x+7y))/z)
\frac{\partial\:}{\partial\:x}(\frac{(7x+7y)}{z})
limit as x approaches 2 of 5/(x^4-16)
\lim\:_{x\to\:2}(\frac{5}{x^{4}-16})
limit as t approaches 0 of (3/(tsqrt(1+t)))-3/t
\lim\:_{t\to\:0}((\frac{3}{t\sqrt{1+t}})-\frac{3}{t})
integral of sqrt(2+4y^2)
\int\:\sqrt{2+4y^{2}}dy
derivative of xsqrt(49-x^2)
\frac{d}{dx}(x\sqrt{49-x^{2}})
integral of x^2+5
\int\:x^{2}+5dx
integral of 1/(sqrt(8-6x-9x^2))
\int\:\frac{1}{\sqrt{8-6x-9x^{2}}}dx
derivative of (x^2+sec(x))/(x-2e^x)
derivative\:\frac{x^{2}+\sec(x)}{x-2e^{x}}
derivative of (x^4/8+1/(4y^2))
\frac{d}{dx}(\frac{x^{4}}{8}+\frac{1}{4y^{2}})
integral of (tan^3(x)+tan(x))
\int\:(\tan^{3}(x)+\tan(x))dx
integral of (x^3)/(sqrt(x^2+7))
\int\:\frac{x^{3}}{\sqrt{x^{2}+7}}dx
derivative of f(0.6)=3arcsin(x^4)
derivative\:f(0.6)=3\arcsin(x^{4})
integral of ye^{x^2}
\int\:ye^{x^{2}}dx
(\partial)/(\partial x)((3x^2)/(y-5))
\frac{\partial\:}{\partial\:x}(\frac{3x^{2}}{y-5})
(\partial}{\partial z}(\frac{x+y)/z)
\frac{\partial\:}{\partial\:z}(\frac{x+y}{z})
taylor ln(1-e^{-x})
taylor\:\ln(1-e^{-x})
derivative of 4x^2+3x-7
\frac{d}{dx}(4x^{2}+3x-7)
integral of ((x^3))/(sqrt(25-x^2))
\int\:\frac{(x^{3})}{\sqrt{25-x^{2}}}dx
sum from n=2 to infinity of 1/(nsqrt(n))
\sum\:_{n=2}^{\infty\:}\frac{1}{n\sqrt{n}}
limit as x approaches-4/5-of sqrt(5x+4)
\lim\:_{x\to\:-\frac{4}{5}-}(\sqrt{5x+4})
integral of (-2)/((x+1)^2)
\int\:\frac{-2}{(x+1)^{2}}dx
integral of 9/(xsqrt(81-(ln(x))^2))
\int\:\frac{9}{x\sqrt{81-(\ln(x))^{2}}}dx
derivative of sqrt(x)+x
\frac{d}{dx}(\sqrt{x}+x)
3x-6ysqrt(x^2+1)((dy)/(dx))=0,y(0)=3
3x-6y\sqrt{x^{2}+1}(\frac{dy}{dx})=0,y(0)=3
derivative of x^{12/7}
derivative\:x^{\frac{12}{7}}
derivative of ((sqrt(x))/7+1)^{3/2}
derivative\:(\frac{\sqrt{x}}{7}+1)^{\frac{3}{2}}
integral from 1 to 3 of x^2+1/(4x^2)
\int\:_{1}^{3}x^{2}+\frac{1}{4x^{2}}dx
derivative of 3x+pi^2
derivative\:3x+π^{2}
area y=4x,x=5,y= 4/x
area\:y=4x,x=5,y=\frac{4}{x}
integral of (y+1)x^2sin((xy)/2)
\int\:(y+1)x^{2}\sin(\frac{xy}{2})dy
derivative of 2/(sqrt(x^3))
\frac{d}{dx}(\frac{2}{\sqrt{x^{3}}})
limit as x approaches 0 of x^2ln(x)
\lim\:_{x\to\:0}(x^{2}\ln(x))
derivative of sqrt(1-t^2)
derivative\:\sqrt{1-t^{2}}
derivative of ln(6x^3)
\frac{d}{dx}(\ln(6x^{3}))
integral of ((5t-2))/(t+1)
\int\:\frac{(5t-2)}{t+1}dt
(dy)/(dx)=((x^2-1))/(y^2)
\frac{dy}{dx}=\frac{(x^{2}-1)}{y^{2}}
integral of (e^x)/3-4x^3+6/x
\int\:\frac{e^{x}}{3}-4x^{3}+\frac{6}{x}dx
(\partial)/(\partial x)(ln(2x^2+y^2))
\frac{\partial\:}{\partial\:x}(\ln(2x^{2}+y^{2}))
sum from n=1 to infinity of 3/(n^2)
\sum\:_{n=1}^{\infty\:}\frac{3}{n^{2}}
(xy^2+x)dx+(y-x^2y)dy=0
(xy^{2}+x)dx+(y-x^{2}y)dy=0
limit as x approaches 0 of xsin((4pi)/x)
\lim\:_{x\to\:0}(x\sin(\frac{4π}{x}))
integral from 1 to 2 of 27x^24^{x^3}
\int\:_{1}^{2}27x^{2}4^{x^{3}}dx
derivative of cos(x^2+xy)
\frac{d}{dx}(\cos(x^{2}+xy))
(\partial)/(\partial x)((1+x^3)^{2020})
\frac{\partial\:}{\partial\:x}((1+x^{3})^{2020})
laplacetransform y^3
laplacetransform\:y^{3}
derivative of-2x^2+36ln(x)
\frac{d}{dx}(-2x^{2}+36\ln(x))
integral of e^s
\int\:e^{s}ds
y^'-8y^2cos(t)-7y^2sin(4t)=0
y^{\prime\:}-8y^{2}\cos(t)-7y^{2}\sin(4t)=0
integral of ((e^x)/(1+e^x))
\int\:(\frac{e^{x}}{1+e^{x}})dx
integral of 2x(x^2+14)^9
\int\:2x(x^{2}+14)^{9}dx
((dy))/((dx))= x/y
\frac{(dy)}{(dx)}=\frac{x}{y}
integral from 1 to 2 of (ln(x))^2
\int\:_{1}^{2}(\ln(x))^{2}dx
area y=-x,x=-1,x=2,y=0
area\:y=-x,x=-1,x=2,y=0
y^{''}+8y^'+65y=455,y(0)=0,y^'(0)=0
y^{\prime\:\prime\:}+8y^{\prime\:}+65y=455,y(0)=0,y^{\prime\:}(0)=0
integral of 1/(sqrt(x^2+6x+18))
\int\:\frac{1}{\sqrt{x^{2}+6x+18}}dx
limit as x approaches 1 of x-4
\lim\:_{x\to\:1}(x-4)
integral of ((arctan(x))^5)/(x^2+1)
\int\:\frac{(\arctan(x))^{5}}{x^{2}+1}dx
derivative of (x^3-8^{2/3})
\frac{d}{dx}((x^{3}-8)^{\frac{2}{3}})
limit as x approaches 3-of x^2-8
\lim\:_{x\to\:3-}(x^{2}-8)
(\partial)/(\partial x)(-e^xcos(y))
\frac{\partial\:}{\partial\:x}(-e^{x}\cos(y))
integral of csc^2(5t)
\int\:\csc^{2}(5t)dt
area y= 3/x ,y=12x,y= x/3
area\:y=\frac{3}{x},y=12x,y=\frac{x}{3}
y^'+5y=e^{(-2x)}
y^{\prime\:}+5y=e^{(-2x)}
derivative of p(θ)=sqrt(3θ)
derivative\:p(θ)=\sqrt{3θ}
derivative of y=(x+1)^x
derivative\:y=(x+1)^{x}
integral from 0 to 2 of 2pix(2x^2-x^3)
\int\:_{0}^{2}2πx(2x^{2}-x^{3})dx
integral of 1/((a+b)-(a-b)x^2)
\int\:\frac{1}{(a+b)-(a-b)x^{2}}dx
integral of (22)/((1-x^2)^{3/2)}
\int\:\frac{22}{(1-x^{2})^{\frac{3}{2}}}dx
(\partial)/(\partial x)(2xarcsin(x/y))
\frac{\partial\:}{\partial\:x}(2x\arcsin(\frac{x}{y}))
area y=x^{-3},1<= x<= 5
area\:y=x^{-3},1\le\:x\le\:5
derivative of y=(-1)/(3sin^3(x))
derivative\:y=\frac{-1}{3\sin^{3}(x)}
integral of (3t)
\int\:(3t)dt
integral of x+tan(x)
\int\:x+\tan(x)dx
limit as x approaches infinity of (3x^2+5x^3)/(2x^2-3x)
\lim\:_{x\to\:\infty\:}(\frac{3x^{2}+5x^{3}}{2x^{2}-3x})
inverse oflaplace ((s))/((s^2+6s+25))
inverselaplace\:\frac{(s)}{(s^{2}+6s+25)}
derivative of (4x+6(9x-5))
\frac{d}{dx}((4x+6)(9x-5))
derivative of (x+7)/(sqrt(x))
derivative\:\frac{x+7}{\sqrt{x}}
derivative of (cos(x)(cos(x)))
\frac{d}{dx}((\cos(x))(\cos(x)))
integral of 1/(xsqrt(a^2-x^2))
\int\:\frac{1}{x\sqrt{a^{2}-x^{2}}}dx
(dy)/(dx)=(y-1)^2+0.01,y(0)=1
\frac{dy}{dx}=(y-1)^{2}+0.01,y(0)=1
derivative of (e^x-1^2)
\frac{d}{dx}((e^{x}-1)^{2})
integral of ((x+3))/(x^2+11x+18)
\int\:\frac{(x+3)}{x^{2}+11x+18}dx
d/(dy)(ye^{2xy}+x)
\frac{d}{dy}(ye^{2xy}+x)
derivative of y=ln(4x)
derivative\:y=\ln(4x)
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