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Popular Calculus Problems

y^'-7/x y=(y^4)/(x^5)	y^{\prime\:}-\frac{7}{x}y=\frac{y^{4}}{x^{5}}
xydy+e^{-x}(y^2-1)dx=0	xydy+e^{-x}(y^{2}-1)dx=0
y^'=((y-x))/((x))	y^{\prime\:}=\frac{(y-x)}{(x)}
(dy)/(dx)=(x^2)/(x^2+1)	\frac{dy}{dx}=\frac{x^{2}}{x^{2}+1}
integral of 2+3x-4y^3	\int\:2+3x-4y^{3}dx
integral from 0 to 9 of pi(2sqrt(3y))^2	\int\:_{0}^{9}π(2\sqrt{3y})^{2}dy
derivative of x^3+2x-5	\frac{d}{dx}(x^{3}+2x-5)
limit as x approaches 4 of (2x-1)/(x-4)	\lim\:_{x\to\:4}(\frac{2x-1}{x-4})
derivative of y=(x^2+1)^2	derivative\:y=(x^{2}+1)^{2}
tangent of xy=-64,(8,-8)	tangent\:xy=-64,(8,-8)
integral of 1/(10^x+1)	\int\:\frac{1}{10^{x}+1}dx
derivative of 10cos(30x-7)	\frac{d}{dx}(10\cos(30x-7))
integral of csch^2(13x-4/9)	\int\:\csch^{2}(13x-\frac{4}{9})dx
slope of (-1,-1),(4,-6)	slope\:(-1,-1),(4,-6)
derivative of 6sqrt(t^5)	derivative\:6\sqrt{t^{5}}
derivative of (1+sqrt(t))(8t^2-1)	derivative\:(1+\sqrt{t})(8t^{2}-1)
limit as x approaches infinity of 3x^4	\lim\:_{x\to\:\infty\:}(3x^{4})
limit as x approaches 0 of (e^x-1)/(7x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{7x})
(\partial)/(\partial x)(-5e^{-5y}sin(5x))	\frac{\partial\:}{\partial\:x}(-5e^{-5y}\sin(5x))
limit as x approaches 2 of 2-x	\lim\:_{x\to\:2}(2-x)
derivative of 2e^{cos(x/2})	\frac{d}{dx}(2e^{\cos(\frac{x}{2})})
derivative of ((x^2-3x))/(x+1)	derivative\:\frac{(x^{2}-3x)}{x+1}
integral of (2x+1)/(x^2-x-6)	\int\:\frac{2x+1}{x^{2}-x-6}dx
integral of 4sech(x)tanh(x)	\int\:4\sech(x)\tanh(x)dx
(dy)/(dx)=1+x-y-xy	\frac{dy}{dx}=1+x-y-xy
integral of 1/60 x^3	\int\:\frac{1}{60}x^{3}dx
integral of-9sec(x)tan(x)-2sec^2(x)	\int\:-9\sec(x)\tan(x)-2\sec^{2}(x)dx
(\partial)/(\partial x)(e^x-e^{-x})	\frac{\partial\:}{\partial\:x}(e^{x}-e^{-x})
derivative of 1-1/(2x)	\frac{d}{dx}(1-\frac{1}{2x})
(dy}{dx}=\frac{x-1)/y	\frac{dy}{dx}=\frac{x-1}{y}
integral of (x^2)/(sqrt(x^2-16))	\int\:\frac{x^{2}}{\sqrt{x^{2}-16}}dx
integral from 0 to 0.5 of (300x)	\int\:_{0}^{0.5}(300x)dx
y^{''}=4t^3+t	y^{\prime\:\prime\:}=4t^{3}+t
area y=(x-5)x(x+5),y=5-x	area\:y=(x-5)x(x+5),y=5-x
inverse oflaplace ((1-e^{-s}))/s	inverselaplace\:\frac{(1-e^{-s})}{s}
derivative of (e^x/(cos(x)))	\frac{d}{dx}(\frac{e^{x}}{\cos(x)})
taylor x^3-4sqrt(x)+log_{e}(x)	taylor\:x^{3}-4\sqrt{x}+\log_{e}(x)
(\partial)/(\partial x)(-3xy^2+2ycos(x))	\frac{\partial\:}{\partial\:x}(-3xy^{2}+2y\cos(x))
(\partial)/(\partial y)(2(y+1)x^2)	\frac{\partial\:}{\partial\:y}(2(y+1)x^{2})
integral of-1/2 x^3e^{-x}	\int\:-\frac{1}{2}x^{3}e^{-x}dx
integral of 0.06q-0.6q-(7700)/(q^2)	\int\:0.06q-0.6q-\frac{7700}{q^{2}}dq
(dy)/(dx)=a-by^2	\frac{dy}{dx}=a-by^{2}
integral from 1 to 2 of sqrt(4x^2-3)	\int\:_{1}^{2}\sqrt{4x^{2}-3}dx
limit as x approaches 2-of kx^2	\lim\:_{x\to\:2-}(kx^{2})
limit as x approaches 0 of (-1)/(5x+25)	\lim\:_{x\to\:0}(\frac{-1}{5x+25})
(\partial)/(\partial x)(2xarctan(y/z))	\frac{\partial\:}{\partial\:x}(2x\arctan(\frac{y}{z}))
limit as x approaches 1 of (inx)/(x-1)	\lim\:_{x\to\:1}(\frac{inx}{x-1})
derivative of 1/(sqrt(x+1))	derivative\:\frac{1}{\sqrt{x+1}}
integral of x(x^2-1)^7	\int\:x(x^{2}-1)^{7}dx
integral of 5x(x^4-1/5)	\int\:5x(x^{4}-\frac{1}{5})dx
integral from 2 to 4 of ((x+y))/(55)	\int\:_{2}^{4}\frac{(x+y)}{55}dy
derivative of f(x)=sqrt(12x+\sqrt{x)}	derivative\:f(x)=\sqrt{12x+\sqrt{x}}
derivative of sin^2(2xcos^3(3x))	\frac{d}{dx}(\sin^{2}(2x)\cos^{3}(3x))
limit as x approaches infinity of (4^x+4^x)^{1/(2x)}	\lim\:_{x\to\:\infty\:}((4^{x}+4^{x})^{\frac{1}{2x}})
integral of (x+16)/(x^2+2x-8)	\int\:\frac{x+16}{x^{2}+2x-8}dx
limit as x approaches 0 of x^6cos(4/x)	\lim\:_{x\to\:0}(x^{6}\cos(\frac{4}{x}))
integral from 0 to pi/4 of 7tan^3(x)	\int\:_{0}^{\frac{π}{4}}7\tan^{3}(x)dx
integral of (3x)/((x^2+3)^2)	\int\:\frac{3x}{(x^{2}+3)^{2}}dx
derivative of f(x)=sqrt(x)+2	derivative\:f(x)=\sqrt{x}+2
limit as x approaches-1 of x^2-3x+1	\lim\:_{x\to\:-1}(x^{2}-3x+1)
derivative of (sqrt(3x-1)/((2-x)^2))	\frac{d}{dx}(\frac{\sqrt{3x-1}}{(2-x)^{2}})
dx-2xydy=0	dx-2xydy=0
derivative of ((x-1(x^2+x+1))/(x^3))	\frac{d}{dx}(\frac{(x-1)(x^{2}+x+1)}{x^{3}})
tangent of f(x)=3-2x+4x^3,\at x=-1	tangent\:f(x)=3-2x+4x^{3},\at\:x=-1
integral of 1/(e^{x/3)+e^{x/6}}	\int\:\frac{1}{e^{\frac{x}{3}}+e^{\frac{x}{6}}}dx
derivative of 7e^{8x}	\frac{d}{dx}(7e^{8x})
f(x)=sqrt(25-x^2)	f(x)=\sqrt{25-x^{2}}
derivative of (50x^4/(2^x))	\frac{d}{dx}(\frac{50x^{4}}{2^{x}})
integral from 0 to 6 of 12x-3x^2	\int\:_{0}^{6}12x-3x^{2}dx
tangent of f(x)=x^3-x,\at x=-1	tangent\:f(x)=x^{3}-x,\at\:x=-1
limit as x approaches infinity of 5^x+5	\lim\:_{x\to\:\infty\:}(5^{x}+5)
derivative of x^2\sqrt[4]{4x-7}	derivative\:x^{2}\sqrt[4]{4x-7}
(\partial)/(\partial x)(xcos(x^2y))	\frac{\partial\:}{\partial\:x}(x\cos(x^{2}y))
d/(dy)(y^3+kxy^4-2x)	\frac{d}{dy}(y^{3}+kxy^{4}-2x)
integral of 1/(x^2)sin(1/x)cos(1/x)	\int\:\frac{1}{x^{2}}\sin(\frac{1}{x})\cos(\frac{1}{x})dx
integral from 0 to 2 of 4x^2-2x^3	\int\:_{0}^{2}4x^{2}-2x^{3}dx
derivative of x(x-3^2)	\frac{d}{dx}(x(x-3)^{2})
area y=x^2,y=-x^2+4x	area\:y=x^{2},y=-x^{2}+4x
integral of 12sin^6(x)cos^3(x)	\int\:12\sin^{6}(x)\cos^{3}(x)dx
derivative of f(x)=x^{5/11}(x-5)^2	derivative\:f(x)=x^{\frac{5}{11}}(x-5)^{2}
(\partial)/(\partial x)((3x+2y)/(y^2+5x^2))	\frac{\partial\:}{\partial\:x}(\frac{3x+2y}{y^{2}+5x^{2}})
integral of 3+4x	\int\:3+4xdx
integral of 1/(x^4sqrt(4-x^2))	\int\:\frac{1}{x^{4}\sqrt{4-x^{2}}}dx
integral of (e^{5x})/5	\int\:\frac{e^{5x}}{5}dx
integral from 0 to 1 of (2x)/((x^2+3)^2)	\int\:_{0}^{1}\frac{2x}{(x^{2}+3)^{2}}dx
tangent of f(x)=(-9x^2)/2+7x+2	tangent\:f(x)=\frac{-9x^{2}}{2}+7x+2
(\partial)/(\partial y)(arctan(x^4y^3))	\frac{\partial\:}{\partial\:y}(\arctan(x^{4}y^{3}))
laplacetransform 5(t-1)	laplacetransform\:5(t-1)
derivative of A/(B+Ce^x)	\frac{d}{dx}(\frac{A}{B+Ce^{x}})
integral of e^{ax}	\int\:e^{ax}dx
derivative of f(x)=(sqrt(1-x^2))/(2x+1)	derivative\:f(x)=\frac{\sqrt{1-x^{2}}}{2x+1}
2tx^{''}-x^'+1/((x^'))=0	2tx^{\prime\:\prime\:}-x^{\prime\:}+\frac{1}{(x^{\prime\:})}=0
integral of ((x^3))/(sqrt(x^2+16))	\int\:\frac{(x^{3})}{\sqrt{x^{2}+16}}dx
integral of (4+6u)/(sqrt(u))	\int\:\frac{4+6u}{\sqrt{u}}du
integral of 3xe^{0.5x^2}	\int\:3xe^{0.5x^{2}}dx
integral of (20x+9)	\int\:(20x+9)dx
derivative of f(x)=-2x^3	derivative\:f(x)=-2x^{3}
integral of sqrt(y)sin(y)	\int\:\sqrt{y}\sin(y)dy
derivative of x^2-9	\frac{d}{dx}(x^{2}-9)
integral of arctan(2/x)	\int\:\arctan(\frac{2}{x})dx

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