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Popular Calculus Problems
inverse oflaplace (p^3+1)^{-1}
inverselaplace\:(p^{3}+1)^{-1}
derivative of cos(ln(x^2))
\frac{d}{dx}(\cos(\ln(x^{2})))
derivative of 2cos(3x)
derivative\:2\cos(3x)
y^'+(2x)/(1+x^2)y=(e^{-x})/(1+x^2)
y^{\prime\:}+\frac{2x}{1+x^{2}}y=\frac{e^{-x}}{1+x^{2}}
limit as x approaches-1 of (-1^2+1)/(-1)
\lim\:_{x\to\:-1}(\frac{-1^{2}+1}{-1})
limit as x approaches infinity of x^{-1}
\lim\:_{x\to\:\infty\:}(x^{-1})
derivative of x^{4/5}
derivative\:x^{\frac{4}{5}}
(3xy^2+13y)+(3x^2y+13x)y^'=0
(3xy^{2}+13y)+(3x^{2}y+13x)y^{\prime\:}=0
integral of sqrt(x^2-1)
\int\:\sqrt{x^{2}-1}dx
derivative of u/(u^2+7)
derivative\:\frac{u}{u^{2}+7}
integral of t^{-1}
\int\:t^{-1}dt
integral of (4sqrt(x)-4/(sqrt(x)))
\int\:(4\sqrt{x}-\frac{4}{\sqrt{x}})dx
derivative of x^3(x-8)^2
derivative\:x^{3}(x-8)^{2}
tangent of y=(36)/(x^2+2),(1,12)
tangent\:y=\frac{36}{x^{2}+2},(1,12)
(\partial)/(\partial x)((ax-5)/(-y^2+1))
\frac{\partial\:}{\partial\:x}(\frac{ax-5}{-y^{2}+1})
limit as x approaches 0+of arctan(x)
\lim\:_{x\to\:0+}(\arctan(x))
integral of (x^4)/(sqrt(4+x^2))
\int\:\frac{x^{4}}{\sqrt{4+x^{2}}}dx
integral from-2 to 3 of x-4|x|
\int\:_{-2}^{3}x-4\left|x\right|dx
taylor 1/(x^2)
taylor\:\frac{1}{x^{2}}
derivative of x^3-21x^2+144x
\frac{d}{dx}(x^{3}-21x^{2}+144x)
derivative of 6^{3x-4}
\frac{d}{dx}(6^{3x-4})
integral from 0 to x of sin(pi/2 t^2)
\int\:_{0}^{x}\sin(\frac{π}{2}t^{2})dt
derivative of 2^x-x^2
\frac{d}{dx}(2^{x}-x^{2})
integral from 0 to 1 of x^2-x
\int\:_{0}^{1}x^{2}-xdx
derivative of y=(x+1)/(x-2)
derivative\:y=\frac{x+1}{x-2}
derivative of sqrt(9+x+y^2)
\frac{d}{dx}(\sqrt{9+x+y^{2}})
integral of x^{13}sin(x^{14})
\int\:x^{13}\sin(x^{14})dx
derivative of x^3-x^2-x
\frac{d}{dx}(x^{3}-x^{2}-x)
derivative of x^4-2x
\frac{d}{dx}(x^{4}-2x)
y^'=0.1ln((4000)/y)y
y^{\prime\:}=0.1\ln(\frac{4000}{y})y
integral of te^{-9t}
\int\:te^{-9t}dt
integral of (e^{2x})/(sqrt(1+e^{2x))}
\int\:\frac{e^{2x}}{\sqrt{1+e^{2x}}}dx
integral from 0 to pi of 5sin^2(x)
\int\:_{0}^{π}5\sin^{2}(x)dx
integral of (ln(x^{3/2}))/x
\int\:\frac{\ln(x^{\frac{3}{2}})}{x}dx
integral from 0 to t of 3e^ssin(t-s)
\int\:_{0}^{t}3e^{s}\sin(t-s)ds
integral of 1/(2x+3)
\int\:\frac{1}{2x+3}dx
integral of (cos(x)sin(x))
\int\:(\cos(x)\sin(x))dx
limit as x approaches 0 of (2x)/(|x|)
\lim\:_{x\to\:0}(\frac{2x}{\left|x\right|})
y^{''}-8y^'+11y=0
y^{\prime\:\prime\:}-8y^{\prime\:}+11y=0
(dy)/(dx)=(3xsqrt(y))
\frac{dy}{dx}=(3x\sqrt{y})
integral of 4x-x^3
\int\:4x-x^{3}dx
sum from i=1 to infinity of (1/2)^{i-1}
\sum\:_{i=1}^{\infty\:}(\frac{1}{2})^{i-1}
y^{''}-3y^'=2e^xsin(2x)
y^{\prime\:\prime\:}-3y^{\prime\:}=2e^{x}\sin(2x)
derivative of f(x)=(x-7)/(9x^2e^x)
derivative\:f(x)=\frac{x-7}{9x^{2}e^{x}}
(\partial)/(\partial x)((e^x-3)sin(y))
\frac{\partial\:}{\partial\:x}((e^{x}-3)\sin(y))
derivative of 3/(x^2)-8\sqrt[4]{x}
derivative\:\frac{3}{x^{2}}-8\sqrt[4]{x}
derivative of (3x+2(4x-3))
\frac{d}{dx}((3x+2)(4x-3))
derivative of (x^3-4x*e^{3x})
\frac{d}{dx}((x^{3}-4x)\cdot\:e^{3x})
y^{'''}-8=0
y^{\prime\:\prime\:\prime\:}-8=0
sum from n=0 to infinity of (2n)/(n^2)
\sum\:_{n=0}^{\infty\:}\frac{2n}{n^{2}}
(\partial)/(\partial y)((xy^2+x^3)^4)
\frac{\partial\:}{\partial\:y}((xy^{2}+x^{3})^{4})
derivative of 4ln(x+2cos(x)+x^4)
\frac{d}{dx}(4\ln(x)+2\cos(x)+x^{4})
tangent of f(x)=5x^2-5x,\at x=3
tangent\:f(x)=5x^{2}-5x,\at\:x=3
integral of (arctan(x/2))/(4+x^2)
\int\:\frac{\arctan(\frac{x}{2})}{4+x^{2}}dx
derivative of x^3-x+1
\frac{d}{dx}(x^{3}-x+1)
integral of (cosh(x))^3
\int\:(\cosh(x))^{3}dx
(\partial}{\partial x}(x^{1/2}+\frac{Y(x))/2)
\frac{\partial\:}{\partial\:x}(x^{\frac{1}{2}}+\frac{Y(x)}{2})
derivative of f(x)=(x^2-1)/(x^2+x+1)
derivative\:f(x)=\frac{x^{2}-1}{x^{2}+x+1}
sum from k=2 to infinity of 2/(k^2-1)
\sum\:_{k=2}^{\infty\:}\frac{2}{k^{2}-1}
y^'+2y=e^{-t},y(0)= 3/2
y^{\prime\:}+2y=e^{-t},y(0)=\frac{3}{2}
laplacetransform 3
laplacetransform\:3
derivative of x^7sqrt(x^2-9x+9)
\frac{d}{dx}(x^{7}\sqrt{x^{2}-9x+9})
d/(dy)((2-x)(y-2)(3-x-y))
\frac{d}{dy}((2-x)(y-2)(3-x-y))
integral of (x+1)/(2x+1)
\int\:\frac{x+1}{2x+1}dx
integral of 5sin^2(x)
\int\:5\sin^{2}(x)dx
derivative of sqrt(2x^2-5x+4)
\frac{d}{dx}(\sqrt{2x^{2}-5x+4})
inverse oflaplace 100
inverselaplace\:100
integral of (x-4)^2x^2
\int\:(x-4)^{2}x^{2}dx
(\partial)/(\partial x)(-3sin(2x))
\frac{\partial\:}{\partial\:x}(-3\sin(2x))
derivative of 2asin(x)
\frac{d}{dx}(2a\sin(x))
y^'+4y=e^{-x}
y^{\prime\:}+4y=e^{-x}
integral of (1+x^2)/(1+y^2)
\int\:\frac{1+x^{2}}{1+y^{2}}dx
(x^2+3y^2)dx-2xydy=0
(x^{2}+3y^{2})dx-2xydy=0
integral of (e^{2x})/(sqrt(1+e^x))
\int\:\frac{e^{2x}}{\sqrt{1+e^{x}}}dx
integral from 0 to 2pi of cos(x)sin(x)
\int\:_{0}^{2π}\cos(x)\sin(x)dx
limit as x approaches-6 of 11x+3
\lim\:_{x\to\:-6}(11x+3)
tangent of f(x)=12-x^2,(3,3)
tangent\:f(x)=12-x^{2},(3,3)
tangent of f(x)=(18)/(x^2+2),(1,6)
tangent\:f(x)=\frac{18}{x^{2}+2},(1,6)
limit as x approaches 0+of x^{11x}
\lim\:_{x\to\:0+}(x^{11x})
integral of e^{-6x}9x
\int\:e^{-6x}9xdx
derivative of 5x^5sin(2x)
\frac{d}{dx}(5x^{5}\sin(2x))
derivative of e^{(0.5x})
\frac{d}{dx}(e^{(0.5x)})
derivative of f(x)=|x-5|
derivative\:f(x)=\left|x-5\right|
x^{''}-2x-5=0
x^{\prime\:\prime\:}-2x-5=0
(\partial)/(\partial x)(e^{kx})
\frac{\partial\:}{\partial\:x}(e^{kx})
derivative of 10^{2sqrt(x)}
derivative\:10^{2\sqrt{x}}
integral of 6+6tan^2(x)
\int\:6+6\tan^{2}(x)dx
integral of-7
\int\:-7dx
integral from 0 to 1 of (x^2)/(x^3-5)
\int\:_{0}^{1}\frac{x^{2}}{x^{3}-5}dx
integral of (x^3)/(sqrt(x^2+121))
\int\:\frac{x^{3}}{\sqrt{x^{2}+121}}dx
f(x)= 1/(x^2-5)
f(x)=\frac{1}{x^{2}-5}
integral of sin(22x)sin(23x)
\int\:\sin(22x)\sin(23x)dx
integral of (-1)/t
\int\:\frac{-1}{t}dt
limit as x approaches 1+of x^{x/(1-x)}
\lim\:_{x\to\:1+}(x^{\frac{x}{1-x}})
x^2(dy)/(dx)=y-xy,y(-1)=-4
x^{2}\frac{dy}{dx}=y-xy,y(-1)=-4
derivative of pi/((2x)^5)
derivative\:\frac{π}{(2x)^{5}}
simplify 2sin(x)cos(x)
simplify\:2\sin(x)\cos(x)
derivative of sqrt(2x^2-1)
derivative\:\sqrt{2x^{2}-1}
tangent of v=60(1-e^{-0.2t})
tangent\:v=60(1-e^{-0.2t})
limit as x approaches 1-of ln(x-1)
\lim\:_{x\to\:1-}(\ln(x-1))
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