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Popular Calculus Problems
(\partial)/(\partial x)(3x^3y)
\frac{\partial\:}{\partial\:x}(3x^{3}y)
y=(x^2+x)^x
y=(x^{2}+x)^{x}
derivative of e^{x+1}+1
\frac{d}{dx}(e^{x+1}+1)
y^'=2xy^{3/4}
y^{\prime\:}=2xy^{\frac{3}{4}}
derivative of f(x)=8x^4+9x
derivative\:f(x)=8x^{4}+9x
sum from n=1 to infinity of cos(pin)
\sum\:_{n=1}^{\infty\:}\cos(πn)
tangent of f(x)=e^{5x},\at x= 1/5 ln(2)
tangent\:f(x)=e^{5x},\at\:x=\frac{1}{5}\ln(2)
(\partial)/(\partial x)(sqrt(96-5x^2-3y^2))
\frac{\partial\:}{\partial\:x}(\sqrt{96-5x^{2}-3y^{2}})
tangent of f(x)=x^3+1
tangent\:f(x)=x^{3}+1
integral of (e^x)/(e^{3x)+e^{2x}}
\int\:\frac{e^{x}}{e^{3x}+e^{2x}}dx
(\partial)/(\partial y)(|y|+1/(2a)|x-y|^2)
\frac{\partial\:}{\partial\:y}(\left|y\right|+\frac{1}{2a}\left|x-y\right|^{2})
integral of 1/(4x+1)
\int\:\frac{1}{4x+1}dx
(\partial)/(\partial x)(7/x)
\frac{\partial\:}{\partial\:x}(\frac{7}{x})
limit as x approaches 4+of (x+1)/(x-4)
\lim\:_{x\to\:4+}(\frac{x+1}{x-4})
(\partial)/(\partial y)(3x^2y^2+2)
\frac{\partial\:}{\partial\:y}(3x^{2}y^{2}+2)
sum from n=1 to infinity of n/((n^3+1))
\sum\:_{n=1}^{\infty\:}\frac{n}{(n^{3}+1)}
derivative of x^2+2x+3
derivative\:x^{2}+2x+3
limit as x approaches 2 of (x+3)^{5x}
\lim\:_{x\to\:2}((x+3)^{5x})
tangent of y=7x^2+2x+1
tangent\:y=7x^{2}+2x+1
(dy)/(dx)=-x/y ,y(0)=0
\frac{dy}{dx}=-\frac{x}{y},y(0)=0
(\partial)/(\partial x)((x+2)^2-2(y-4)^2+1)
\frac{\partial\:}{\partial\:x}((x+2)^{2}-2(y-4)^{2}+1)
(dy)/(dx)+y=x,y(0)=3
\frac{dy}{dx}+y=x,y(0)=3
(\partial)/(\partial x)(1/x-2y)
\frac{\partial\:}{\partial\:x}(\frac{1}{x}-2y)
derivative of f(x)=sin^2(2x)
derivative\:f(x)=\sin^{2}(2x)
integral of csc^2(xco)t^2x
\int\:\csc^{2}(xco)t^{2}xdx
area y=-3x^3+x^2+10x,x=-5/3 ,x=2
area\:y=-3x^{3}+x^{2}+10x,x=-\frac{5}{3},x=2
limit as x approaches a of x+sqrt(x-4)
\lim\:_{x\to\:a}(x+\sqrt{x-4})
derivative of xcos(x+sin(x))
\frac{d}{dx}(x\cos(x)+\sin(x))
limit as x approaches c of 5+3(-2)
\lim\:_{x\to\:c}(5+3(-2))
integral of (2x+3)cos(x^2+3x)
\int\:(2x+3)\cos(x^{2}+3x)dx
integral of ((cos(θ)-sin(θ)))/(cos^2(θ))
\int\:\frac{(\cos(θ)-\sin(θ))}{\cos^{2}(θ)}dθ
(\partial)/(\partial x)(-2ye^{-x})
\frac{\partial\:}{\partial\:x}(-2ye^{-x})
integral of-sin(x)-cos(x)
\int\:-\sin(x)-\cos(x)dx
y^{''}-2y^'-15y=-2
y^{\prime\:\prime\:}-2y^{\prime\:}-15y=-2
(\partial)/(\partial x)((3y^2-x^2)/(y^5))
\frac{\partial\:}{\partial\:x}(\frac{3y^{2}-x^{2}}{y^{5}})
(\partial)/(\partial y)(e^y(x^2-y^2))
\frac{\partial\:}{\partial\:y}(e^{y}(x^{2}-y^{2}))
derivative of (4x^2+8x+4/(sqrt(x)))
\frac{d}{dx}(\frac{4x^{2}+8x+4}{\sqrt{x}})
derivative of g(u)=sqrt(7)u+sqrt(5u)
derivative\:g(u)=\sqrt{7}u+\sqrt{5u}
derivative of tan(x^pi)
derivative\:\tan(x^{π})
area 3x^2+12,4x+4,-3,3
area\:3x^{2}+12,4x+4,-3,3
integral of e^{x^2+x}
\int\:e^{x^{2}+x}dx
limit as x approaches 3 of 5x^2-3x+5
\lim\:_{x\to\:3}(5x^{2}-3x+5)
integral of ((cos^2(x)))/((sin^2(x)))
\int\:\frac{(\cos^{2}(x))}{(\sin^{2}(x))}dx
integral of 1/(sqrt(x^2+4x+10))
\int\:\frac{1}{\sqrt{x^{2}+4x+10}}dx
ycos^2(x)(dy)/(dx)=4+tan^2(x)
y\cos^{2}(x)\frac{dy}{dx}=4+\tan^{2}(x)
integral of x+7
\int\:x+7dx
derivative of 2x^3-3x^2-72x+108
derivative\:2x^{3}-3x^{2}-72x+108
derivative of ln(((4-x))/(4+x))
derivative\:\ln(\frac{(4-x)}{4+x})
integral of 2/(x+1)
\int\:\frac{2}{x+1}dx
y^'=(xy^2-0.5sin(2x))/(y(1-x^2)),y(0)=2
y^{\prime\:}=\frac{xy^{2}-0.5\sin(2x)}{y(1-x^{2})},y(0)=2
y^'=(t+y)^2-1,y(2)=6
y^{\prime\:}=(t+y)^{2}-1,y(2)=6
derivative of ((x+2/(x-2))^5)
\frac{d}{dx}((\frac{x+2}{x-2})^{5})
derivative of 2x^2+y^2
\frac{d}{dx}(2x^{2}+y^{2})
integral of (x-2)/(x^2+2x-3)
\int\:\frac{x-2}{x^{2}+2x-3}dx
(dy)/(dx)=3sqrt(xy)
\frac{dy}{dx}=3\sqrt{xy}
integral from 0 to 1 of 14cos(x^2)
\int\:_{0}^{1}14\cos(x^{2})dx
inverse oflaplace 2/((s+2)(s+3))
inverselaplace\:\frac{2}{(s+2)(s+3)}
integral from 0 to 2pi of x
\int\:_{0}^{2π}xdx
derivative of t+sqrt(t)
derivative\:t+\sqrt{t}
derivative of cos(x^4*4x^3)
\frac{d}{dx}(\cos(x^{4})\cdot\:4x^{3})
derivative of 8sqrt(8x^2+3)
\frac{d}{dx}(8\sqrt{8x^{2}+3})
y^'=(3x)/(y+x^2y),y(0)=-3
y^{\prime\:}=\frac{3x}{y+x^{2}y},y(0)=-3
(\partial)/(\partial z)(1/z)
\frac{\partial\:}{\partial\:z}(\frac{1}{z})
integral of (w^2+16)/(w^2-16)
\int\:\frac{w^{2}+16}{w^{2}-16}dw
inverse oflaplace 1/((s-2)(s-4))
inverselaplace\:\frac{1}{(s-2)(s-4)}
derivative of \sqrt[3]{3x^4+5}
\frac{d}{dx}(\sqrt[3]{3x^{4}+5})
y^{'''}-12y^{''}+52y^'-96y=0
y^{\prime\:\prime\:\prime\:}-12y^{\prime\:\prime\:}+52y^{\prime\:}-96y=0
area y=e^x,y=7e^{-x}+6,x=0
area\:y=e^{x},y=7e^{-x}+6,x=0
integral of tan^9(x)sec^4(x)
\int\:\tan^{9}(x)\sec^{4}(x)dx
derivative of 10^{x^2}+log_{10}(|2+3x|)
\frac{d}{dx}(10^{x^{2}}+\log_{10}(\left|2+3x\right|))
integral from 2 to 8 of 3/x
\int\:_{2}^{8}\frac{3}{x}dx
integral from 0 to 0.5 of 7arccos(x)
\int\:_{0}^{0.5}7\arccos(x)dx
limit as x approaches infinity of e^{+x}
\lim\:_{x\to\:\infty\:}(e^{+x})
sum from n=0 to infinity of (1+1/n)^{-n}
\sum\:_{n=0}^{\infty\:}(1+\frac{1}{n})^{-n}
integral of 1/((5x+1)^3)
\int\:\frac{1}{(5x+1)^{3}}dx
derivative of 3x^4-5x^2+2sqrt(3x)
\frac{d}{dx}(3x^{4}-5x^{2}+2\sqrt{3x})
integral of ((1+x^2))/(sqrt(x))
\int\:\frac{(1+x^{2})}{\sqrt{x}}dx
integral of sqrt(ax)
\int\:\sqrt{ax}dx
derivative of \sqrt[3]{x}*tan(5x)
\frac{d}{dx}(\sqrt[3]{x}\cdot\:\tan(5x))
derivative of sec(x^3)
\frac{d}{dx}(\sec(x^{3}))
integral of x*e^{-a*x}
\int\:x\cdot\:e^{-a\cdot\:x}dx
integral from 1 to 4 of pi(sqrt(x-1))^2
\int\:_{1}^{4}π(\sqrt{x-1})^{2}dx
(dy}{dx}=-\frac{6x)/y
\frac{dy}{dx}=-\frac{6x}{y}
derivative of (200)/(t+2)
derivative\:\frac{200}{t+2}
integral of (6000-2000x)/((x^2-6x+10)^2)
\int\:\frac{6000-2000x}{(x^{2}-6x+10)^{2}}dx
x^2y^{''}-4xy^'-6y=0
x^{2}y^{\prime\:\prime\:}-4xy^{\prime\:}-6y=0
derivative of (5e^xx^{3/2})/2+e^xx^{5/2}
derivative\:\frac{5e^{x}x^{\frac{3}{2}}}{2}+e^{x}x^{\frac{5}{2}}
2x^2(dy)/(dx)=(dy)/(dx)+6xe^{-y}
2x^{2}\frac{dy}{dx}=\frac{dy}{dx}+6xe^{-y}
integral of 3e^5
\int\:3e^{5}dx
derivative of (1+tan^2(x)/(xsec(x)))
\frac{d}{dx}(\frac{1+\tan^{2}(x)}{x\sec(x)})
integral of ln(sec(x))
\int\:\ln(\sec(x))dx
inverse oflaplace 1/(s^2(s^2+3s+2))
inverselaplace\:\frac{1}{s^{2}(s^{2}+3s+2)}
integral of sin^6(t)cos^3(t)
\int\:\sin^{6}(t)\cos^{3}(t)dt
limit as x approaches 8 of 8x+|x-8|
\lim\:_{x\to\:8}(8x+\left|x-8\right|)
integral of cos^2(x)*sin^2(x)
\int\:\cos^{2}(x)\cdot\:\sin^{2}(x)dx
(\partial)/(\partial x)(2/(x^2+1))
\frac{\partial\:}{\partial\:x}(\frac{2}{x^{2}+1})
tangent of 2xy^3+xy=18,(6,1)
tangent\:2xy^{3}+xy=18,(6,1)
laplacetransform 1/(e^{jt)}
laplacetransform\:\frac{1}{e^{jt}}
derivative of e^x(x-9)
\frac{d}{dx}(e^{x}(x-9))
derivative of (x^5+5/(x^3))
\frac{d}{dx}(\frac{x^{5}+5}{x^{3}})
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