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Popular Calculus Problems
derivative of 7x^2-8x+3
derivative\:7x^{2}-8x+3
(\partial)/(\partial x)(sqrt(x^2y^2))
\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}y^{2}})
derivative of 1-cos(3x)
\frac{d}{dx}(1-\cos(3x))
limit as x approaches-4-of x+4
\lim\:_{x\to\:-4-}(x+4)
integral of sec^2(x)
\int\:\sec^{2}(x)dx
derivative of x/(1-ln(x-7))
\frac{d}{dx}(\frac{x}{1-\ln(x-7)})
limit as x approaches-2+of (x^2)/(x+2)
\lim\:_{x\to\:-2+}(\frac{x^{2}}{x+2})
(\partial)/(\partial x)(x^9y^9-x^8y^8)
\frac{\partial\:}{\partial\:x}(x^{9}y^{9}-x^{8}y^{8})
integral of 2x^2e^{x^3}
\int\:2x^{2}e^{x^{3}}dx
integral of 1/(sec^4(1/4 x))
\int\:\frac{1}{\sec^{4}(\frac{1}{4}x)}dx
taylor e^x+0+5
taylor\:e^{x}+0+5
limit as x approaches 0 of (1+4x)^{3/x}
\lim\:_{x\to\:0}((1+4x)^{\frac{3}{x}})
integral of ((tan(u))/4-4/7 u^6-2/u)
\int\:(\frac{\tan(u)}{4}-\frac{4}{7}u^{6}-\frac{2}{u})du
limit as x approaches a of 1/2
\lim\:_{x\to\:a}(\frac{1}{2})
derivative of f(x)=(5x+4)^3
derivative\:f(x)=(5x+4)^{3}
integral from 0 to 5 of 1/(u^2-25)
\int\:_{0}^{5}\frac{1}{u^{2}-25}du
tangent of y=4cos(x),(pi/3 ,2)
tangent\:y=4\cos(x),(\frac{π}{3},2)
derivative of-x^{-2}e^{1/x}
derivative\:-x^{-2}e^{\frac{1}{x}}
tangent of 5+4x^2-2x^3
tangent\:5+4x^{2}-2x^{3}
y^{''}-7y^'+6y=0
y^{\prime\:\prime\:}-7y^{\prime\:}+6y=0
integral of (y^3)/(y^2+1)
\int\:\frac{y^{3}}{y^{2}+1}dy
derivative of axcos(3x+bxsin(3x))
\frac{d}{dx}(ax\cos(3x)+bx\sin(3x))
integral of 2/(t^2)
\int\:\frac{2}{t^{2}}dt
integral of (x^3-sin(x))
\int\:(x^{3}-\sin(x))dx
integral of 1/(cos^2(5x))
\int\:\frac{1}{\cos^{2}(5x)}dx
limit as x approaches 1 of (2*x+3)/(x+4)
\lim\:_{x\to\:1}(\frac{2\cdot\:x+3}{x+4})
integral of (x+1)/(sqrt(3-2x-x^2))
\int\:\frac{x+1}{\sqrt{3-2x-x^{2}}}dx
(\partial)/(\partial y)(e^{xy}tan(y))
\frac{\partial\:}{\partial\:y}(e^{xy}\tan(y))
derivative of 1+(5e^{-2x^2}/(2-|x|))
\frac{d}{dx}(1+\frac{5e^{-2x^{2}}}{2-\left|x\right|})
derivative of y=cos(sqrt(sin(tan(7x))))
derivative\:y=\cos(\sqrt{\sin(\tan(7x))})
integral from 0 to 8 of 1/((8-x))
\int\:_{0}^{8}\frac{1}{(8-x)}dx
integral of 2e^{-0.8x}
\int\:2e^{-0.8x}dx
xy^'+3x-2y=0
xy^{\prime\:}+3x-2y=0
e^{2x}y^'+2e^{2x}y=2x
e^{2x}y^{\prime\:}+2e^{2x}y=2x
limit as x approaches 6+of x^3+cx
\lim\:_{x\to\:6+}(x^{3}+cx)
taylor ln(x),3
taylor\:\ln(x),3
inverse oflaplace 1/((s+2)^2)
inverselaplace\:\frac{1}{(s+2)^{2}}
(dy)/(dx)=sqrt(yx)
\frac{dy}{dx}=\sqrt{yx}
integral from 0 to 3 of 2pi(x)(3x-x^2)
\int\:_{0}^{3}2π(x)(3x-x^{2})dx
derivative of 2/3 (4y^2+1/2)^{3/2}
derivative\:\frac{2}{3}(4y^{2}+\frac{1}{2})^{\frac{3}{2}}
d/(dt)(sqrt(2t))
\frac{d}{dt}(\sqrt{2t})
25y^{''}-y=(xex)/5
25y^{\prime\:\prime\:}-y=\frac{xex}{5}
y^'+ln(x)y=ln(x)
y^{\prime\:}+\ln(x)y=\ln(x)
derivative of (x-3/(6x-5))
\frac{d}{dx}(\frac{x-3}{6x-5})
limit as x approaches 2 of 1/(sqrt(2-x))
\lim\:_{x\to\:2}(\frac{1}{\sqrt{2-x}})
(\partial)/(\partial y)(e^{-x}cos(y))
\frac{\partial\:}{\partial\:y}(e^{-x}\cos(y))
slope of (2,5),(3,1)
slope\:(2,5),(3,1)
integral of 4/(1+4x^2)
\int\:\frac{4}{1+4x^{2}}dx
derivative of (x^3+8/(x^2-4))
\frac{d}{dx}(\frac{x^{3}+8}{x^{2}-4})
integral of 1/(sqrt(2))
\int\:\frac{1}{\sqrt{2}}dx
x(dy)/(dx)-(1+x)y=xy^2
x\frac{dy}{dx}-(1+x)y=xy^{2}
integral of (3x^2+1)/(x^2sqrt(4-x^2))
\int\:\frac{3x^{2}+1}{x^{2}\sqrt{4-x^{2}}}dx
derivative of (y^2/x)
\frac{d}{dx}(\frac{y^{2}}{x})
integral of sin(3pi)t
\int\:\sin(3π)tdt
derivative of f(x)=x^2-3x+1
derivative\:f(x)=x^{2}-3x+1
integral of ((x+6)/(x^2+11x+18))
\int\:(\frac{x+6}{x^{2}+11x+18})dx
derivative of x^6+3x^4+7x^2
\frac{d}{dx}(x^{6}+3x^{4}+7x^{2})
laplacetransform cos(pit)
laplacetransform\:\cos(πt)
limit as x approaches 0 of (x^2)cos(8/x)
\lim\:_{x\to\:0}((x^{2})\cos(\frac{8}{x}))
(\partial)/(\partial x)(-10xysin(xy^2))
\frac{\partial\:}{\partial\:x}(-10xy\sin(xy^{2}))
derivative of f(x)=(2x-x^3)(3x+7)
derivative\:f(x)=(2x-x^{3})(3x+7)
integral from 1 to e of cos(ln(x))
\int\:_{1}^{e}\cos(\ln(x))dx
integral of c/x e^{-9x}
\int\:\frac{c}{x}e^{-9x}dx
y=(3x^2)(5x^4)
y=(3x^{2})(5x^{4})
(dy)/(dx)=-x^{1/3}
\frac{dy}{dx}=-x^{\frac{1}{3}}
integral of (sqrt(y^2-64))/y
\int\:\frac{\sqrt{y^{2}-64}}{y}dy
3((dy)/(dx))+12y=4
3(\frac{dy}{dx})+12y=4
integral of (sin^3(sqrt(x)))/(sqrt(x))
\int\:\frac{\sin^{3}(\sqrt{x})}{\sqrt{x}}dx
derivative of xsqrt(a^2-x^2)
\frac{d}{dx}(x\sqrt{a^{2}-x^{2}})
derivative of 1/(2sqrt(x)+1/(9x^{8/9)})
\frac{d}{dx}(\frac{1}{2\sqrt{x}}+\frac{1}{9x^{\frac{8}{9}}})
integral from 1 to 2 of (sqrt(x-1))/x
\int\:_{1}^{2}\frac{\sqrt{x-1}}{x}dx
integral of e^x*2x
\int\:e^{x}\cdot\:2xdx
derivative of w/(w+c/w)
derivative\:\frac{w}{w+\frac{c}{w}}
tangent of y=x^2-6,\at x=a
tangent\:y=x^{2}-6,\at\:x=a
derivative of (x^2-4)/(x-3)
derivative\:\frac{x^{2}-4}{x-3}
slope of f(x)=18x^3-x
slope\:f(x)=18x^{3}-x
(\partial)/(\partial x)(5tan(5x))
\frac{\partial\:}{\partial\:x}(5\tan(5x))
derivative of (cos(2x)/(sin(2x)))
\frac{d}{dx}(\frac{\cos(2x)}{\sin(2x)})
integral from 0 to 6 of 4x^2e^{-x}
\int\:_{0}^{6}4x^{2}e^{-x}dx
integral of (ln(y)+2xy^3)
\int\:(\ln(y)+2xy^{3})dx
integral from-1 to 1 of (e^y-(y^2-3))
\int\:_{-1}^{1}(e^{y}-(y^{2}-3))dy
integral of (y*e^x+sin(y))
\int\:(y\cdot\:e^{x}+\sin(y))dx
integral from 0 to pi of 6cos^4(x)sin(x)
\int\:_{0}^{π}6\cos^{4}(x)\sin(x)dx
limit as x approaches-0.1 of 1+e^x
\lim\:_{x\to\:-0.1}(1+e^{x})
4y-y^{''}=10e^{(-3x)}
4y-y^{\prime\:\prime\:}=10e^{(-3x)}
e^{2x+y}y^'=e^{x-y}
e^{2x+y}y^{\prime\:}=e^{x-y}
derivative of (e^x)/(x^2+3)
derivative\:\frac{e^{x}}{x^{2}+3}
derivative of 7arctan(x+sqrt(1+x^2))
derivative\:7\arctan(x+\sqrt{1+x^{2}})
sum from n=0 to infinity of (x^3)^n
\sum\:_{n=0}^{\infty\:}(x^{3})^{n}
y^'+1/3 y=t
y^{\prime\:}+\frac{1}{3}y=t
derivative of csc^2(xcot(x))
\frac{d}{dx}(\csc^{2}(x)\cot(x))
integral of pisqrt(x)
\int\:π\sqrt{x}dx
integral of 1/(sqrt(9x^2+16))
\int\:\frac{1}{\sqrt{9x^{2}+16}}dx
expand 2x(1-x)
expand\:2x(1-x)
(dy)/(dx)=(8x)/(3y)
\frac{dy}{dx}=\frac{8x}{3y}
limit as x approaches 0 of arcsin(x^3)
\lim\:_{x\to\:0}(\arcsin(x^{3}))
taylor e^{x^2},0
taylor\:e^{x^{2}},0
integral from-1 to 0 of x^3+1
\int\:_{-1}^{0}x^{3}+1dx
derivative of 18sqrt(x)-3x
derivative\:18\sqrt{x}-3x
tangent of f(x)=-1-9x^2,\at x=3
tangent\:f(x)=-1-9x^{2},\at\:x=3
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