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Popular Calculus Problems
derivative of 2x^3-9x^2+12x-5
\frac{d}{dx}(2x^{3}-9x^{2}+12x-5)
tangent of f(x)= 1/(x^4)
tangent\:f(x)=\frac{1}{x^{4}}
integral of arccot(12y)
\int\:\arccot(12y)dy
limit as x approaches-5 of (4-x)^{3/2}
\lim\:_{x\to\:-5}((4-x)^{\frac{3}{2}})
limit as x approaches 0+of 1/(1+e^{1/x)}
\lim\:_{x\to\:0+}(\frac{1}{1+e^{\frac{1}{x}}})
d/(d{z)}({y}{z}e^{{x}{z}})
\frac{d}{d{z}}({y}{z}e^{{x}{z}})
f(x)=sqrt(1+2x)
f(x)=\sqrt{1+2x}
inverse oflaplace 1/(s^2+2s+4)
inverselaplace\:\frac{1}{s^{2}+2s+4}
integral from-2 to-1 of (2/(x^2))
\int\:_{-2}^{-1}(\frac{2}{x^{2}})dx
f(x)=(2x^3+5)^{10}
f(x)=(2x^{3}+5)^{10}
integral of 1/(sqrt(x^2+2))
\int\:\frac{1}{\sqrt{x^{2}+d^{2}}}dx
integral of xsin(pi)x
\int\:x\sin(π)xdx
(\partial)/(\partial x)(4x^2*3x^3y^2)
\frac{\partial\:}{\partial\:x}(4x^{2}\cdot\:3x^{3}y^{2})
derivative of sqrt(5x+1)
derivative\:\sqrt{5x+1}
limit as x approaches 0+of (3x)^x
\lim\:_{x\to\:0+}((3x)^{x})
derivative of-2*x
\frac{d}{dx}(-2\cdot\:x)
limit as x approaches (pi/2)+of sec(x)
\lim\:_{x\to\:(\frac{π}{2})+}(\sec(x))
sum from n=0 to infinity of n/(e^n)
\sum\:_{n=0}^{\infty\:}\frac{n}{e^{n}}
integral from 0 to 8 of (5-|x-3|)
\int\:_{0}^{8}(5-\left|x-3\right|)dx
integral of 4x*e^{2x^2}
\int\:4x\cdot\:e^{2x^{2}}dx
tangent of 1/((x-7))
tangent\:\frac{1}{(x-7)}
y^'-y=e^tcos(t),y(0)=1
y^{\prime\:}-y=e^{t}\cos(t),y(0)=1
derivative of 5/x-2/(x^3+1/(x^4))
\frac{d}{dx}(\frac{5}{x}-\frac{2}{x^{3}}+\frac{1}{x^{4}})
derivative of sin(2x-2sin(x))
\frac{d}{dx}(\sin(2x)-2\sin(x))
integral of cos(x)cot(x)
\int\:\cos(x)\cot(x)dx
derivative of x^2+e^{2xy}
\frac{d}{dx}(x^{2}+e^{2xy})
slope of (-1,0),(1,2)
slope\:(-1,0),(1,2)
integral of sec^2(x)e^{tan(x)}
\int\:\sec^{2}(x)e^{\tan(x)}dx
derivative of f(x)=x^pi
derivative\:f(x)=x^{π}
limit as x approaches-6-of x/(2x-12)
\lim\:_{x\to\:-6-}(\frac{x}{2x-12})
derivative of y=(8x^{w(y,x)}-5)/(3x^3+7)
derivative\:y=\frac{8x^{w(y,x)}-5}{3x^{3}+7}
integral from 0 to 1 of (x^2+9)e^{-x}
\int\:_{0}^{1}(x^{2}+9)e^{-x}dx
integral from 0 to infinity of 12e^{-4x}
\int\:_{0}^{\infty\:}12e^{-4x}dx
laplacetransform e^{2t}
laplacetransform\:e^{2t}
(\partial)/(\partial y)(-e^{-x}zcos(y))
\frac{\partial\:}{\partial\:y}(-e^{-x}z\cos(y))
derivative of sqrt((x^2*2^x)^7)
derivative\:\sqrt{(x^{2}\cdot\:2^{x})^{7}}
derivative of 1/(5u^5)
derivative\:\frac{1}{5u^{5}}
tangent of 4(x-1/x)^4,\at x=2
tangent\:4(x-\frac{1}{x})^{4},\at\:x=2
integral of sin(θ)cos^3(θ)
\int\:\sin(θ)\cos^{3}(θ)dθ
limit as x approaches 1 of x^3-5x
\lim\:_{x\to\:1}(x^{3}-5x)
(1/(sqrt(1-x^2)))^'
(\frac{1}{\sqrt{1-x^{2}}})^{\prime\:}
y^'=7y-x
y^{\prime\:}=7y-x
limit as x approaches 5-of-(x-3)^2
\lim\:_{x\to\:5-}(-(x-3)^{2})
integral of 1/(y(y-1))
\int\:\frac{1}{y(y-1)}dy
integral of x/(8x^2+6)
\int\:\frac{x}{8x^{2}+6}dx
maclaurin (1+x)^{-7/3}
maclaurin\:(1+x)^{-\frac{7}{3}}
limit as x approaches 0 of 3e^{2x}
\lim\:_{x\to\:0}(3e^{2x})
derivative of 2cos^2(x)
derivative\:2\cos^{2}(x)
tangent of y=x^2+x,(4,20)
tangent\:y=x^{2}+x,(4,20)
(2y^2+4x^2)dx=xydy
(2y^{2}+4x^{2})dx=xydy
x((dy)/(dx))+y=e^x
x(\frac{dy}{dx})+y=e^{x}
limit as x approaches 3 of-(x-4)/(x-3)
\lim\:_{x\to\:3}(-\frac{x-4}{x-3})
derivative of t^2-1/(t^3)
derivative\:t^{2}-\frac{1}{t^{3}}
(\partial}{\partial x}(\frac{y-3x)/z)
\frac{\partial\:}{\partial\:x}(\frac{y-3x}{z})
limit as x approaches 1-of 2x+3
\lim\:_{x\to\:1-}(2x+3)
limit as x approaches 1 of (4-4x)/(x-1)
\lim\:_{x\to\:1}(\frac{4-4x}{x-1})
integral of x^2(x+2/(sqrt(x)))
\int\:x^{2}(x+\frac{2}{\sqrt{x}})dx
integral of (x^7+3x^5-2x^3-4)/(x^3)
\int\:\frac{x^{7}+3x^{5}-2x^{3}-4}{x^{3}}dx
derivative of (e^{1-cos(x})/(cos(x)))
\frac{d}{dx}(\frac{e^{1-\cos(x)}}{\cos(x)})
d/(du)(sqrt(cos(c)(cot(u))))
\frac{d}{du}(\sqrt{\cos(c)(\cot(u))})
y^'=e^{2x+y}
y^{\prime\:}=e^{2x+y}
integral of 5/(5+e^x)
\int\:\frac{5}{5+e^{x}}dx
(\partial)/(\partial x)(ln(1-e^{-x}))
\frac{\partial\:}{\partial\:x}(\ln(1-e^{-x}))
derivative of arctan(x/a)
\frac{d}{dx}(\arctan(\frac{x}{a}))
(\partial)/(\partial y)(e^{2x}*sin(y))
\frac{\partial\:}{\partial\:y}(e^{2x}\cdot\:\sin(y))
derivative of y=(x^3)/((x-1)^2)
derivative\:y=\frac{x^{3}}{(x-1)^{2}}
integral of cos(x)(2+7sin^2(x))
\int\:\cos(x)(2+7\sin^{2}(x))dx
limit as x approaches infinity of (2^{x+1}+3^x)/(2^x+3^{x+1)}
\lim\:_{x\to\:\infty\:}(\frac{2^{x+1}+3^{x}}{2^{x}+3^{x+1}})
limit as x approaches 0+of-ln(x)
\lim\:_{x\to\:0+}(-\ln(x))
integral of (y^2+1)/(y+1)
\int\:\frac{y^{2}+1}{y+1}dy
derivative of (e^x/(e^x+1))
\frac{d}{dx}(\frac{e^{x}}{e^{x}+1})
derivative of xsqrt(8-x^2)
derivative\:x\sqrt{8-x^{2}}
integral of 1/((4+x^2)^{3/2)}
\int\:\frac{1}{(4+x^{2})^{\frac{3}{2}}}dx
(\partial)/(\partial x)(x^4+xy^3)
\frac{\partial\:}{\partial\:x}(x^{4}+xy^{3})
limit as x approaches 0+of (e^x)/x
\lim\:_{x\to\:0+}(\frac{e^{x}}{x})
limit as x approaches 5 of 8x+9
\lim\:_{x\to\:5}(8x+9)
integral of ((sqrt(x)+6)^5)/(2sqrt(x))
\int\:\frac{(\sqrt{x}+6)^{5}}{2\sqrt{x}}dx
integral of 1/(x(ln(x))^9)
\int\:\frac{1}{x(\ln(x))^{9}}dx
(\partial)/(\partial x)(x^2-2xy+3y^2-8y)
\frac{\partial\:}{\partial\:x}(x^{2}-2xy+3y^{2}-8y)
(\partial)/(\partial x)(ln(9x^2+y^2+9))
\frac{\partial\:}{\partial\:x}(\ln(9x^{2}+y^{2}+9))
limit as x approaches 4 of x^2-6x+8
\lim\:_{x\to\:4}(x^{2}-6x+8)
sum from n=1 to infinity of (-1)^n*n
\sum\:_{n=1}^{\infty\:}(-1)^{n}\cdot\:n
limit as x approaches 2+of 3/(2-x)
\lim\:_{x\to\:2+}(\frac{3}{2-x})
integral of 1/(\sqrt[3]{2-x)}
\int\:\frac{1}{\sqrt[3]{2-x}}dx
laplacetransform 6(1-e^{-5t})
laplacetransform\:6(1-e^{-5t})
integral of ctanx
\int\:ctanxdx
limit as x approaches infinity of 5^x+1
\lim\:_{x\to\:\infty\:}(5^{x}+1)
area x^2,6-x
area\:x^{2},6-x
taylor 1/(1-x^3)
taylor\:\frac{1}{1-x^{3}}
laplacetransform e^{a*t}
laplacetransform\:e^{a\cdot\:t}
derivative of f(x)=((x+1)/(x-3))^2
derivative\:f(x)=(\frac{x+1}{x-3})^{2}
derivative of 2/(x^2+2)
\frac{d}{dx}(\frac{2}{x^{2}+2})
limit as x approaches 0 of (x^5-2)/(x^4)
\lim\:_{x\to\:0}(\frac{x^{5}-2}{x^{4}})
derivative of ((e^x))/(5x^2)
derivative\:\frac{(e^{x})}{5x^{2}}
inverse oflaplace 1/(s(s+1)(s+5))
inverselaplace\:\frac{1}{s(s+1)(s+5)}
laplacetransform-3(t-1)
laplacetransform\:-3(t-1)
y^'=sqrt(-4y+57)
y^{\prime\:}=\sqrt{-4y+57}
e^xdx-ydy=0,y(0)=1
e^{x}dx-ydy=0,y(0)=1
integral from 1 to sqrt(3 of) 4/(x^2+1)
\int\:_{1}^{\sqrt{3}}\frac{4}{x^{2}+1}dx
integral from-2 to 2 of 4(4-x^2)
\int\:_{-2}^{2}4(4-x^{2})dx
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