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Popular Calculus Problems

(\partial)/(\partial y)(3xye^{-x^2-y^2})	\frac{\partial\:}{\partial\:y}(3xye^{-x^{2}-y^{2}})
integral of sin(5x)sin(2x)	\int\:\sin(5x)\sin(2x)dx
(\partial)/(\partial x)(7xy^2)	\frac{\partial\:}{\partial\:x}(7xy^{2})
limit as x approaches-3 of sqrt(-4x+6)	\lim\:_{x\to\:-3}(\sqrt{-4x+6})
integral of cot^4(3x)	\int\:\cot^{4}(3x)dx
derivative of (x^3)/(10(x-2))	derivative\:\frac{x^{3}}{10(x-2)}
f(t)=1-t	f(t)=1-t
integral of 10cos^5(x)sin^4(x)	\int\:10\cos^{5}(x)\sin^{4}(x)dx
tangent of f(x)=3+8ln(x),\at x=1	tangent\:f(x)=3+8\ln(x),\at\:x=1
derivative of (2x^3)(4x^2)	derivative\:(2x^{3})(4x^{2})
integral from 0 to 7 of \|sqrt(4x+5)-x\|	\int\:_{0}^{7}\left\|\sqrt{4x+5}-x\right\|dx
derivative of f(x)=(x^2-4)/x	derivative\:f(x)=\frac{x^{2}-4}{x}
integral of sqrt(1+1/4 sin^2(x))	\int\:\sqrt{1+\frac{1}{4}\sin^{2}(x)}dx
integral of e^xsqrt(e^x+1)	\int\:e^{x}\sqrt{e^{x}+1}dx
limit as x approaches 6 of x^2-3x	\lim\:_{x\to\:6}(x^{2}-3x)
integral of (1/(sqrt(x-1)))	\int\:(\frac{1}{\sqrt{x-1}})dx
(\partial)/(\partial x)(e^y*sin(x))	\frac{\partial\:}{\partial\:x}(e^{y}\cdot\:\sin(x))
y^{''}+12x=0,y(0)=-4,y^'(0)=5	y^{\prime\:\prime\:}+12x=0,y(0)=-4,y^{\prime\:}(0)=5
(\partial)/(\partial x)((6y)/(x+y))	\frac{\partial\:}{\partial\:x}(\frac{6y}{x+y})
integral of e^x*(1-e^x)^{-1}	\int\:e^{x}\cdot\:(1-e^{x})^{-1}dx
derivative of 2x^3e^x	\frac{d}{dx}(2x^{3}e^{x})
derivative of sqrt(3/x)	derivative\:\sqrt{\frac{3}{x}}
derivative of f(x)=x^3-2x+1	derivative\:f(x)=x^{3}-2x+1
laplacetransform-3sin(2t)	laplacetransform\:-3\sin(2t)
integral of x^{3/2}+2x+1	\int\:x^{\frac{3}{2}}+2x+1dx
xy^'+y=32sqrt(x)	xy^{\prime\:}+y=32\sqrt{x}
integral of \|x-4\|	\int\:\left\|x-4\right\|dx
derivative of x^3-5x+3	\frac{d}{dx}(x^{3}-5x+3)
limit as x approaches 1-of x^{1/(1-x)}	\lim\:_{x\to\:1-}(x^{\frac{1}{1-x}})
derivative of-4/((t+2)^2)	derivative\:-\frac{4}{(t+2)^{2}}
integral of (x^2-1)/(x^4-1)	\int\:\frac{x^{2}-1}{x^{4}-1}dx
integral of sec^2(x)+4	\int\:\sec^{2}(x)+4dx
integral of e^xe^x	\int\:e^{x}e^{x}dx
integral of (3x)/(x^2-x-6)	\int\:\frac{3x}{x^{2}-x-6}dx
x^2(dy)/(dx)+3xy=ln(x)	x^{2}\frac{dy}{dx}+3xy=\ln(x)
implicit xy=cot(xy)	implicit\:xy=\cot(xy)
integral of x/((z^2+x^2)^{3/2)}	\int\:\frac{x}{(z^{2}+x^{2})^{\frac{3}{2}}}dx
derivative of y= 3/x	derivative\:y=\frac{3}{x}
integral of (6)	\int\:(6)dx
(\partial)/(\partial t)(3sqrt(s^2+t^2))	\frac{\partial\:}{\partial\:t}(3\sqrt{s^{2}+t^{2}})
integral from 0 to 3 of xe^{x/2}	\int\:_{0}^{3}xe^{\frac{x}{2}}dx
integral of 0.06e^{0.01x}	\int\:0.06e^{0.01x}dx
integral of (2x+1)/x	\int\:\frac{2x+1}{x}dx
(\partial)/(\partial y)(2xy-6y)	\frac{\partial\:}{\partial\:y}(2xy-6y)
integral of e^{-1/x}	\int\:e^{-\frac{1}{x}}dx
(\partial)/(\partial x)(f(x,y)(x+y))	\frac{\partial\:}{\partial\:x}(f(x,y)(x+y))
integral from 0 to 1 of (r^3)/(4+r^2)	\int\:_{0}^{1}\frac{r^{3}}{4+r^{2}}dr
limit as x approaches 2 of (5-x)/(x-2)	\lim\:_{x\to\:2}(\frac{5-x}{x-2})
derivative of (sin(x-x)/(x^3))	\frac{d}{dx}(\frac{\sin(x)-x}{x^{3}})
limit as x approaches infinity of 4e^x	\lim\:_{x\to\:\infty\:}(4e^{x})
integral from pi to infinity of sin(x)	\int\:_{π}^{\infty\:}\sin(x)dx
derivative of 16e^{-4x}	\frac{d}{dx}(16e^{-4x})
derivative of 3xln(x/2)	\frac{d}{dx}(3x\ln(\frac{x}{2}))
integral of 0.2e^{-0.2x}	\int\:0.2e^{-0.2x}dx
laplacetransform sin(4t+pi/3)	laplacetransform\:\sin(4t+\frac{π}{3})
derivative of f(x)=(x^4-2x)^5	derivative\:f(x)=(x^{4}-2x)^{5}
integral of 1/(sqrt(3x^2-12x+15))	\int\:\frac{1}{\sqrt{3x^{2}-12x+15}}dx
integral of (sqrt(x))/(x-1)	\int\:\frac{\sqrt{x}}{x-1}dx
integral of (y+4)/(y^3+2y^2+2y)	\int\:\frac{y+4}{y^{3}+2y^{2}+2y}dy
derivative of 5x^3y	\frac{d}{dx}(5x^{3}y)
derivative of (tsin(t))/(1+t)	derivative\:\frac{t\sin(t)}{1+t}
area x/(1+x^2),((x^2))/(1+x^3)	area\:\frac{x}{1+x^{2}},\frac{(x^{2})}{1+x^{3}}
y^'=(xy+2y)/(x+3)	y^{\prime\:}=\frac{xy+2y}{x+3}
x(x^3+1)y^'+(2x^3-1)y=(x^3-2)/x	x(x^{3}+1)y^{\prime\:}+(2x^{3}-1)y=\frac{x^{3}-2}{x}
integral of sqrt(x^2-49)	\int\:\sqrt{x^{2}-49}dx
y^{''}+2y^'+2=0	y^{\prime\:\prime\:}+2y^{\prime\:}+2=0
integral of 5sin(6pi)x	\int\:5\sin(6π)xdx
integral of 6e^{-0.2x}	\int\:6e^{-0.2x}dx
taylor sin(3x),0	taylor\:\sin(3x),0
12(t+1)((dy)/(dt))-8y=32t,y(0)=2	12(t+1)(\frac{dy}{dt})-8y=32t,y(0)=2
derivative of y= 1/(t^3+2t^2-1)	derivative\:y=\frac{1}{t^{3}+2t^{2}-1}
area x=-5,x=1,y=3x,y=x^2-4	area\:x=-5,x=1,y=3x,y=x^{2}-4
derivative of (4x-7/(2x+1))	\frac{d}{dx}(\frac{4x-7}{2x+1})
integral of (6x^2-5x+3)/x	\int\:\frac{6x^{2}-5x+3}{x}dx
(\partial)/(\partial x)(3xye^{y-x})	\frac{\partial\:}{\partial\:x}(3xye^{y-x})
slope of (3,3),(2,-5)	slope\:(3,3),(2,-5)
(x^2-5)yy^'=2x	(x^{2}-5)yy^{\prime\:}=2x
integral of x/3*sin(x^2)	\int\:\frac{x}{3}\cdot\:\sin(x^{2})dx
integral of (x)	\int\:(x)dx
tangent of 12x^2-8x-4	tangent\:12x^{2}-8x-4
y^{''}-4y^'-12y=sin(2x)	y^{\prime\:\prime\:}-4y^{\prime\:}-12y=\sin(2x)
tangent of f(x)= 2/(x-2),\at x=-4	tangent\:f(x)=\frac{2}{x-2},\at\:x=-4
limit as x approaches 0 of (cos(x)-x)/x	\lim\:_{x\to\:0}(\frac{\cos(x)-x}{x})
area y=x^3,y=x^{1/2}	area\:y=x^{3},y=x^{\frac{1}{2}}
(\partial)/(\partial x)(x^3+4x^2+x^4+3x^5)	\frac{\partial\:}{\partial\:x}(x^{3}+4x^{2}+x^{4}+3x^{5})
integral from 0 to 6pi of x^2sin(2x)	\int\:_{0}^{6π}x^{2}\sin(2x)dx
derivative of ln(x^2-4x+1)	derivative\:\ln(x^{2}-4x+1)
(\partial)/(\partial y)(x*y^2)	\frac{\partial\:}{\partial\:y}(x\cdot\:y^{2})
limit as x approaches 0 of ((\sqrt[3]{x+8}-2))/x	\lim\:_{x\to\:0}(\frac{(\sqrt[3]{x+8}-2)}{x})
integral of 5x*cos(8x)	\int\:5x\cdot\:\cos(8x)dx
derivative of-sin^2(x)	\frac{d}{dx}(-\sin^{2}(x))
(\partial)/(\partial y)(2ln(y))	\frac{\partial\:}{\partial\:y}(2\ln(y))
integral of 1/(9x-5)	\int\:\frac{1}{9x-5}dx
tangent of sin(7x)-cos(4x)	tangent\:\sin(7x)-\cos(4x)
derivative of h(x)= 1/(x^5)	derivative\:h(x)=\frac{1}{x^{5}}
(\partial)/(\partial x)(pixsqrt(x^2+h^2))	\frac{\partial\:}{\partial\:x}(πx\sqrt{x^{2}+h^{2}})
integral of ((e^x-e^{-x}))/2	\int\:\frac{(e^{x}-e^{-x})}{2}dx
simplify x^2-25ln(x^2)	simplify\:x^{2}-25\ln(x^{2})
laplacetransform 2e^{-t}	laplacetransform\:2e^{-t}
derivative of f(x)=-9x^{-1/9}	derivative\:f(x)=-9x^{-\frac{1}{9}}

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