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Popular Calculus Problems

(\partial)/(\partial x)(x+3xy^2+x^2y)	\frac{\partial\:}{\partial\:x}(x+3xy^{2}+x^{2}y)
inverse oflaplace 1/(s(s+1)^3)	inverselaplace\:\frac{1}{s(s+1)^{3}}
derivative of (x^3)/(x-1)	derivative\:\frac{x^{3}}{x-1}
integral from 0 to 1 of (21)/(x^5)	\int\:_{0}^{1}\frac{21}{x^{5}}dx
y^{''}+y^'+5y=0	y^{\prime\:\prime\:}+y^{\prime\:}+5y=0
integral from-1 to 1 of (x-1)	\int\:_{-1}^{1}(x-1)dx
integral of-8xcos(3x)	\int\:-8x\cos(3x)dx
integral of e^{-θ}cos(9θ)	\int\:e^{-θ}\cos(9θ)dθ
maclaurin (4x^2)e^{-10x}	maclaurin\:(4x^{2})e^{-10x}
limit as x approaches pi/2 of (tan(x)-sec(x))/(cos(x))	\lim\:_{x\to\:\frac{π}{2}}(\frac{\tan(x)-\sec(x)}{\cos(x)})
limit as x approaches 0 of 7csc(x)-7/x	\lim\:_{x\to\:0}(7\csc(x)-\frac{7}{x})
y^{''}-(4/x)y^'-(8/(x^2))y=0	y^{\prime\:\prime\:}-(\frac{4}{x})y^{\prime\:}-(\frac{8}{x^{2}})y=0
integral of x(4-2x^2)	\int\:x(4-2x^{2})dx
derivative of y= 6/(x^4)-4/(x^2)-3/x	derivative\:y=\frac{6}{x^{4}}-\frac{4}{x^{2}}-\frac{3}{x}
(\partial)/(\partial x)(x^2e^{y/x})	\frac{\partial\:}{\partial\:x}(x^{2}e^{\frac{y}{x}})
integral of 9x^2-4x+1	\int\:9x^{2}-4x+1dx
integral of pie^x	\int\:πe^{x}dx
(\partial)/(\partial u)(sin(u)sin(v))	\frac{\partial\:}{\partial\:u}(\sin(u)\sin(v))
(d^2)/(dx^2)(8e^x)	\frac{d^{2}}{dx^{2}}(8e^{x})
integral from 0 to 2 of xe^{-3x}	\int\:_{0}^{2}xe^{-3x}dx
integral of 1/(1-x^2)*ln((1+x)/(1-x))	\int\:\frac{1}{1-x^{2}}\cdot\:\ln(\frac{1+x}{1-x})dx
tangent of f(x)=5x^2,\at x=1	tangent\:f(x)=5x^{2},\at\:x=1
(dy)/(dx)=4(y^2+1)	\frac{dy}{dx}=4(y^{2}+1)
maclaurin 1/(4z-5)	maclaurin\:\frac{1}{4z-5}
tangent of y=(x^2-35)^6,\at x=6	tangent\:y=(x^{2}-35)^{6},\at\:x=6
derivative of f(x)= x/(x^2-2)	derivative\:f(x)=\frac{x}{x^{2}-2}
derivative of 3x*y	derivative\:3x\cdot\:y
derivative of f(x)=2x^3	derivative\:f(x)=2x^{3}
integral from 0 to pi/4 of 5tan^3(x)	\int\:_{0}^{\frac{π}{4}}5\tan^{3}(x)dx
ty^'+2y=t^2-t+1,y(1)= 1/2	ty^{\prime\:}+2y=t^{2}-t+1,y(1)=\frac{1}{2}
tangent of f(x)=(x^3+2)(3x^2-4x+2),(1,3)	tangent\:f(x)=(x^{3}+2)(3x^{2}-4x+2),(1,3)
integral of (3x^2+3x+1)/(x^3+2x^2+2x+1)	\int\:\frac{3x^{2}+3x+1}{x^{3}+2x^{2}+2x+1}dx
slope of (1,2),(5,-3)	slope\:(1,2),(5,-3)
tangent of y= 1/(x+1)	tangent\:y=\frac{1}{x+1}
integral of (7x^2)/(sqrt(x^2-4))	\int\:\frac{7x^{2}}{\sqrt{x^{2}-4}}dx
integral of x^2+xy^2+z	\int\:x^{2}+xy^{2}+zdx
derivative of 4/(x-5)	derivative\:\frac{4}{x-5}
(\partial)/(\partial x)(x/(y+2z))	\frac{\partial\:}{\partial\:x}(\frac{x}{y+2z})
integral of e^{-y/2}	\int\:e^{-\frac{y}{2}}dy
derivative of sin(x)+5pix	derivative\:\sin(x)+5πx
derivative of 1/8 (e^{4x}+e^{-4x})	derivative\:\frac{1}{8}(e^{4x}+e^{-4x})
integral of xsqrt(4x^2+5)	\int\:x\sqrt{4x^{2}+5}dx
integral from-pi to pi of xsin(nx)	\int\:_{-π}^{π}x\sin(nx)dx
derivative of (x+1/(sqrt({f)(x)+4)})	\frac{d}{dx}(\frac{x+1}{\sqrt{{f}(x)+4}})
integral of (1/(x^5)-x^5-1/4)	\int\:(\frac{1}{x^{5}}-x^{5}-\frac{1}{4})dx
integral of 2ye^{-y^2}	\int\:2ye^{-y^{2}}dy
inverse oflaplace 1/(s^2)e^{-s}	inverselaplace\:\frac{1}{s^{2}}e^{-s}
limit as x approaches 2 of 2x+1	\lim\:_{x\to\:2}(2x+1)
(\partial)/(\partial y)(2^x+2^y)	\frac{\partial\:}{\partial\:y}(2^{x}+2^{y})
limit as x approaches 2 of (x-3)/(x^2-9)	\lim\:_{x\to\:2}(\frac{x-3}{x^{2}-9})
d/(d{x)}((e^{{x}})/(e^{{x)}+e^{{y}}+e^{{z}}})	\frac{d}{d{x}}(\frac{e^{{x}}}{e^{{x}}+e^{{y}}+e^{{z}}})
(dy)/(dx)=3x^7y-y,y(1)=-9	\frac{dy}{dx}=3x^{7}y-y,y(1)=-9
y^{''}+4y^'+4y=3e^{-2x}	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=3e^{-2x}
integral of tan(ax)	\int\:\tan(ax)dx
derivative of e^{sec(x})	\frac{d}{dx}(e^{\sec(x)})
integral of (6x^3+4x^2-45x-33)/(x^2-9)	\int\:\frac{6x^{3}+4x^{2}-45x-33}{x^{2}-9}dx
area sqrt(x+7),0.5(x+7)	area\:\sqrt{x+7},0.5(x+7)
integral from 1 to 3 of (4x-x^2)	\int\:_{1}^{3}(4x-x^{2})dx
integral of 1/(sqrt(x^2+2x+122))	\int\:\frac{1}{\sqrt{x^{2}+2x+122}}dx
lcm (csc^2(x))/4 ,4sin^2(x)	lcm\:\frac{\csc^{2}(x)}{4},4\sin^{2}(x)
integral of x^{5/2}	\int\:x^{\frac{5}{2}}dx
maclaurin ((e^x-e^{-x}))/2	maclaurin\:\frac{(e^{x}-e^{-x})}{2}
tangent of 4/(sqrt(x))	tangent\:\frac{4}{\sqrt{x}}
tangent of y=sqrt(x),\at x=81	tangent\:y=\sqrt{x},\at\:x=81
f^'(x)=xsqrt(7-x^2)	f^{\prime\:}(x)=x\sqrt{7-x^{2}}
limit as x approaches 3 of 77	\lim\:_{x\to\:3}(77)
integral of (e^5)/(e^x)	\int\:\frac{e^{5}}{e^{x}}dx
integral of ((cos(x)+sin(x)))/(sin(2x))	\int\:\frac{(\cos(x)+\sin(x))}{\sin(2x)}dx
derivative of Cxe^x	\frac{d}{dx}(Cxe^{x})
integral from 0 to 1 of 6	\int\:_{0}^{1}6
(\partial)/(\partial x)(xz-5x^2y^3z^4)	\frac{\partial\:}{\partial\:x}(xz-5x^{2}y^{3}z^{4})
(\partial)/(\partial x)((3x-2y)/(x^2+3y))	\frac{\partial\:}{\partial\:x}(\frac{3x-2y}{x^{2}+3y})
integral of (cos(x))/(sin^2(x)-36)	\int\:\frac{\cos(x)}{\sin^{2}(x)-36}dx
y^{''}+2y^'+122y=0	y^{\prime\:\prime\:}+2y^{\prime\:}+122y=0
(\partial)/(\partial x)(sin(-e^y))	\frac{\partial\:}{\partial\:x}(\sin(-e^{y}))
derivative of cos((3x/2))	\frac{d}{dx}(\cos(\frac{3x}{2}))
derivative of sqrt(9x^2+9)	\frac{d}{dx}(\sqrt{9x^{2}+9})
integral of sec^4(5x)	\int\:\sec^{4}(5x)dx
tangent of f(x)=2^x,\at x=0	tangent\:f(x)=2^{x},\at\:x=0
integral of 1/(sqrt(9+x^2))	\int\:\frac{1}{\sqrt{9+x^{2}}}dx
derivative of y=(-5)/(\sqrt[3]{x)}	derivative\:y=\frac{-5}{\sqrt[3]{x}}
tangent of f(x)=2x^2-4x-5,\at x=2	tangent\:f(x)=2x^{2}-4x-5,\at\:x=2
integral of sin(e^x)e^x	\int\:\sin(e^{x})e^{x}dx
(dy)/(dx)=(3y^2+10x^2)/(xy)	\frac{dy}{dx}=\frac{3y^{2}+10x^{2}}{xy}
derivative of 7x-5	\frac{d}{dx}(7x-5)
integral from 0 to 4 of x^{3/2}	\int\:_{0}^{4}x^{\frac{3}{2}}dx
integral from 1 to 5 of 5/x-3/(x^2)	\int\:_{1}^{5}\frac{5}{x}-\frac{3}{x^{2}}dx
limit as x approaches-2 of-x^2+8x-7	\lim\:_{x\to\:-2}(-x^{2}+8x-7)
integral from c to x of g(x)	\int\:_{c}^{x}g(x)dx
integral from 2 to 4 of (x^3-6x^2+8x)	\int\:_{2}^{4}(x^{3}-6x^{2}+8x)dx
integral from 0 to 1 of sqrt(x)	\int\:_{0}^{1}\sqrt{x}dx
tangent of y=x^2+3x	tangent\:y=x^{2}+3x
taylor e^{3x},1	taylor\:e^{3x},1
derivative of arctan(1/x)	derivative\:\arctan(\frac{1}{x})
derivative of f(x)=(x^3-x^2-1)/(x^2)	derivative\:f(x)=\frac{x^{3}-x^{2}-1}{x^{2}}
limit as x approaches-2 of 2+x	\lim\:_{x\to\:-2}(2+x)
limit as x approaches 0 of (x-1)/x	\lim\:_{x\to\:0}(\frac{x-1}{x})
integral of 4/(x^2-x-6)	\int\:\frac{4}{x^{2}-x-6}dx
integral of sqrt(2x+2)	\int\:\sqrt{2x+2}dx
derivative of sqrt(6+\sqrt{5x)}	derivative\:\sqrt{6+\sqrt{5x}}

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