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Popular Calculus Problems

(\partial)/(\partial x)(2xy+1)	\frac{\partial\:}{\partial\:x}(2xy+1)
integral of xsec^2(x	\int\:x\sec^{2}(d)xdx
implicit (dy)/(dx),y^3=x	implicit\:\frac{dy}{dx},y^{3}=x
integral of e^{-3x}x	\int\:e^{-3x}xdx
derivative of y=(sqrt(x+1))/x	derivative\:y=\frac{\sqrt{x+1}}{x}
limit as x approaches-1-of 2/(x+1)	\lim\:_{x\to\:-1-}(\frac{2}{x+1})
limit as x approaches-infinity of 4+3/x	\lim\:_{x\to\:-\infty\:}(4+\frac{3}{x})
(\partial)/(\partial x)(2x^y+8y^x+10)	\frac{\partial\:}{\partial\:x}(2x^{y}+8y^{x}+10)
limit as x approaches-2-of sqrt(-1-x)+1	\lim\:_{x\to\:-2-}(\sqrt{-1-x}+1)
y^9y^'=11cos(pix)	y^{9}y^{\prime\:}=11\cos(πx)
integral from-w/2 to 0 of (1+2/w x)e^{-ikx}	\int\:_{-\frac{w}{2}}^{0}(1+\frac{2}{w}x)e^{-ikx}dx
y^{''}+5y^'-36y=0	y^{\prime\:\prime\:}+5y^{\prime\:}-36y=0
(d^2y)/(dx^2)+14(dy)/(dx)+49y=0	\frac{d^{2}y}{dx^{2}}+14\frac{dy}{dx}+49y=0
3y^{''}+8y^'-3y=0,y(0)=4,y^'(0)=-2	3y^{\prime\:\prime\:}+8y^{\prime\:}-3y=0,y(0)=4,y^{\prime\:}(0)=-2
integral of 5sec(x)	\int\:5\sec(x)dx
(\partial)/(\partial x)(25-x^2-y^2)	\frac{\partial\:}{\partial\:x}(25-x^{2}-y^{2})
integral from 0 to infinity of ye^{-y}	\int\:_{0}^{\infty\:}ye^{-y}dy
derivative of ln((5-x/(5+x)))	\frac{d}{dx}(\ln(\frac{5-x}{5+x}))
integral of x^2sqrt((11+x^3))	\int\:x^{2}\sqrt{(11+x^{3})}dx
integral from 5 to 6 of 12arccot(x)	\int\:_{5}^{6}12\arccot(x)dx
integral of (sin^3(x))/(cos^2(x)\sqrt[3]{cos(x))}	\int\:\frac{\sin^{3}(x)}{\cos^{2}(x)\sqrt[3]{\cos(x)}}dx
slope of (-5,3),(5,-5)	slope\:(-5,3),(5,-5)
derivative of xcos(θ)	\frac{d}{dx}(x\cos(θ))
integral of xye^{-yx}	\int\:xye^{-yx}dx
tangent of x^2+xy-y^2=-11,(1,4)	tangent\:x^{2}+xy-y^{2}=-11,(1,4)
derivative of (-2x^2/(x^2-1))	\frac{d}{dx}(\frac{-2x^{2}}{x^{2}-1})
derivative of 2cot(x/8)	derivative\:2\cot(\frac{x}{8})
limit as x approaches-2 of 4	\lim\:_{x\to\:-2}(4)
integral of 1/(sqrt(x^2-225))	\int\:\frac{1}{\sqrt{x^{2}-225}}dx
(\partial)/(\partial s)(s+2t-u)	\frac{\partial\:}{\partial\:s}(s+2t-u)
derivative of (x-1(x-2)(x-3))	\frac{d}{dx}((x-1)(x-2)(x-3))
(dP)/(dt)=P(3-P)-9/4	\frac{dP}{dt}=P(3-P)-\frac{9}{4}
integral from 3 to 8 of t^3ln(2t)	\int\:_{3}^{8}t^{3}\ln(2t)dt
inverse oflaplace 1/(9s-1)	inverselaplace\:\frac{1}{9s-1}
limit as x approaches 0 of (cos(2x))/x	\lim\:_{x\to\:0}(\frac{\cos(2x)}{x})
derivative of (1+x^2^{-1})	\frac{d}{dx}((1+x^{2})^{-1})
(\partial)/(\partial x)(e^{(x/y)})	\frac{\partial\:}{\partial\:x}(e^{(\frac{x}{y})})
integral of 2x^4sqrt(x^5+6)	\int\:2x^{4}\sqrt{x^{5}+6}dx
(\partial)/(\partial x)(sin(7x-4y))	\frac{\partial\:}{\partial\:x}(\sin(7x-4y))
limit as h approaches 0 of ((1+h^3)-1)/h	\lim\:_{h\to\:0}(\frac{(1+h^{3})-1}{h})
derivative of (e^x/(sqrt(1-e^{2x))})	\frac{d}{dx}(\frac{e^{x}}{\sqrt{1-e^{2x}}})
integral of (56)/(1-cos(8x))	\int\:\frac{56}{1-\cos(8x)}dx
slope of (-1,2),(4,3)	slope\:(-1,2),(4,3)
(d^4)/(dx^4)(16e^{x^2})	\frac{d^{4}}{dx^{4}}(16e^{x^{2}})
derivative of (8x+3/(0.2x^2+1))	\frac{d}{dx}(\frac{8x+3}{0.2x^{2}+1})
derivative of (x^2+1/(x+e^x+2))	\frac{d}{dx}(\frac{x^{2}+1}{x+e^{x}+2})
integral of (x^6)/((1+x^2)^2)	\int\:\frac{x^{6}}{(1+x^{2})^{2}}dx
(1-y^2)dx-xydy=0	(1-y^{2})dx-xydy=0
integral of (x^2+1)^22x	\int\:(x^{2}+1)^{2}2xdx
y^'= t/(ye^{-y^2)+ye^{-y^2}t^2}	y^{\prime\:}=\frac{t}{ye^{-y^{2}}+ye^{-y^{2}}t^{2}}
derivative of-(14/(x^4))	\frac{d}{dx}(-\frac{14}{x^{4}})
integral from-pi/2 to pi/2 of tan(x)	\int\:_{-\frac{π}{2}}^{\frac{π}{2}}\tan(x)dx
inverse oflaplace s/((s^2+1)^2)	inverselaplace\:\frac{s}{(s^{2}+1)^{2}}
derivative of (((3x^2))/((2x+4)))^3	derivative\:(\frac{(3x^{2})}{(2x+4)})^{3}
derivative of (x-sqrt(x)(x+sqrt(x)))	\frac{d}{dx}((x-\sqrt{x})(x+\sqrt{x}))
integral of (3x-4)e-x	\int\:(3x-4)e-xdx
(\partial}{\partial x}(\frac{y^2)/2)	\frac{\partial\:}{\partial\:x}(\frac{y^{2}}{2})
derivative of (-9x-1/(-6x+2))	\frac{d}{dx}(\frac{-9x-1}{-6x+2})
(\partial)/(\partial y)(40x^{4/5}y^{1/5})	\frac{\partial\:}{\partial\:y}(40x^{\frac{4}{5}}y^{\frac{1}{5}})
(dy)/(dt)+y*cot(t)=cos(t)	\frac{dy}{dt}+y\cdot\:\cot(t)=\cos(t)
derivative of (3x^2-6x+6e^x)	\frac{d}{dx}((3x^{2}-6x+6)e^{x})
tangent of y=2x^3+x^2+23	tangent\:y=2x^{3}+x^{2}+23
taylor cos^2(2θ)	taylor\:\cos^{2}(2θ)
y^'=-10y,y(0)=5	y^{\prime\:}=-10y,y(0)=5
2y^{''}+y^'-y=x+7	2y^{\prime\:\prime\:}+y^{\prime\:}-y=x+7
limit as x approaches-infinity of x*0	\lim\:_{x\to\:-\infty\:}(x\cdot\:0)
integral from-1 to 0 of t^{1/3}-t^{2/3}	\int\:_{-1}^{0}t^{\frac{1}{3}}-t^{\frac{2}{3}}dt
tangent of f(x)=-1/4 x^2,(-2,-1)	tangent\:f(x)=-\frac{1}{4}x^{2},(-2,-1)
inverse oflaplace 1/((s-1)^3)	inverselaplace\:\frac{1}{(s-1)^{3}}
derivative of (8x+e^{-x^2}^3)	\frac{d}{dx}((8x+e^{-x^{2}})^{3})
derivative of f(x)= 6/(x^3)	derivative\:f(x)=\frac{6}{x^{3}}
(dy}{dx}=\frac{11x)/y	\frac{dy}{dx}=\frac{11x}{y}
derivative of arctan(-x/2)	\frac{d}{dx}(\arctan(-\frac{x}{2}))
(d^2)/(dx^2)(x^5)	\frac{d^{2}}{dx^{2}}(x^{5})
limit as x approaches 0 of 0^x	\lim\:_{x\to\:0}(0^{x})
(di)/(dt)	\frac{di}{dt}
integral of (sqrt(1-x))/(1-sqrt(x))	\int\:\frac{\sqrt{1-x}}{1-\sqrt{x}}dx
(-x+2)y^'-y=e^{-2x}	(-x+2)y^{\prime\:}-y=e^{-2x}
integral of 1/(sqrt(16x^2-4))	\int\:\frac{1}{\sqrt{16x^{2}-4}}dx
(\partial)/(\partial x)(x^2+y^2+(32)/(xy))	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+\frac{32}{xy})
derivative of sec^2(2x2)	\frac{d}{dx}(\sec^{2}(2x)2)
limit as x approaches 1 of e^{(x*3-x)}	\lim\:_{x\to\:1}(e^{(x\cdot\:3-x)})
derivative of y=2e^x+4/(\sqrt[3]{x)}	derivative\:y=2e^{x}+\frac{4}{\sqrt[3]{x}}
limit as x approaches 1-of x-1	\lim\:_{x\to\:1-}(x-1)
integral of cosh^2(x-1)sinh(x-1)	\int\:\cosh^{2}(x-1)\sinh(x-1)dx
limit as x approaches 0 of sqrt(9+x)-3	\lim\:_{x\to\:0}(\sqrt{9+x}-3)
limit as x approaches 0 of (x+e^x)^{1/x}	\lim\:_{x\to\:0}((x+e^{x})^{\frac{1}{x}})
derivative of ln(x^{ln(x}))	\frac{d}{dx}(\ln(x^{\ln(x)}))
limit as x approaches 0 of sqrt(1+x^2)	\lim\:_{x\to\:0}(\sqrt{1+x^{2}})
derivative of f(x)=x^7cos(x)	derivative\:f(x)=x^{7}\cos(x)
y^'=x(e+y)	y^{\prime\:}=x(e+y)
limit as x approaches infinity of 3x^2-8	\lim\:_{x\to\:\infty\:}(3x^{2}-8)
derivative of 2x-1/2 x^2	\frac{d}{dx}(2x-\frac{1}{2}x^{2})
y^'+e^xy=12e^x	y^{\prime\:}+e^{x}y=12e^{x}
derivative of 5/(x+3)	\frac{d}{dx}(\frac{5}{x+3})
laplacetransform 6t	laplacetransform\:6t
integral of (2x+5)^3	\int\:(2x+5)^{3}dx
integral of 1/(xsqrt(4-9x^2))	\int\:\frac{1}{x\sqrt{4-9x^{2}}}dx
tangent of f(x)=10-e^x,\at x=0	tangent\:f(x)=10-e^{x},\at\:x=0
(1/(t+1))^'	(\frac{1}{t+1})^{\prime\:}

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