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Popular Calculus Problems

(\partial)/(\partial x)(3xy-2y)	\frac{\partial\:}{\partial\:x}(3xy-2y)
integral of 1/(x^2+5x)	\int\:\frac{1}{x^{2}+5x}dx
integral of-cot(x)csc(x)	\int\:-\cot(x)\csc(x)dx
slope of 1.4x^2+0.3x+0.25	slope\:1.4x^{2}+0.3x+0.25
integral of 3x^6	\int\:3x^{6}dx
integral of x/(x^4+81)	\int\:\frac{x}{x^{4}+81}dx
derivative of 1/((x^2+1^2))	\frac{d}{dx}(\frac{1}{(x^{2}+1)^{2}})
(\partial)/(\partial u)(ln(ucos(v)))	\frac{\partial\:}{\partial\:u}(\ln(u\cos(v)))
limit as x approaches 0 of (sin^7(x))/x	\lim\:_{x\to\:0}(\frac{\sin^{7}(x)}{x})
y^{''}+4y= 4/(cos(2t))	y^{\prime\:\prime\:}+4y=\frac{4}{\cos(2t)}
integral of-te^{-t}	\int\:-te^{-t}dt
integral of (8+x^3)^5(3x^2)	\int\:(8+x^{3})^{5}(3x^{2})dx
derivative of f(x)= 1/(5x^2+4x)	derivative\:f(x)=\frac{1}{5x^{2}+4x}
integral from 1 to 2 of (6x^2-3x)	\int\:_{1}^{2}(6x^{2}-3x)dx
(\partial)/(\partial x)(sqrt(xy-x))	\frac{\partial\:}{\partial\:x}(\sqrt{xy-x})
expand x^3(x-4)	expand\:x^{3}(x-4)
integral of (sin^2(x)cos^2(x))	\int\:(\sin^{2}(x)\cos^{2}(x))dx
slope of (2,-5),(-8,4)	slope\:(2,-5),(-8,4)
integral of x^3sqrt(14+x^4)	\int\:x^{3}\sqrt{14+x^{4}}dx
derivative of 5xe^x	derivative\:5xe^{x}
integral of 2sqrt(9-x^2)	\int\:2\sqrt{9-x^{2}}dx
integral of x^2+2x+2	\int\:x^{2}+2x+2dx
integral from 0 to pi/2 of sin^2(1)	\int\:_{0}^{\frac{π}{2}}\sin^{2}(1)dx
derivative of 1-e^{-ax}	\frac{d}{dx}(1-e^{-ax})
integral from-1 to 2 of y^3+8	\int\:_{-1}^{2}y^{3}+8dy
integral of (1-t)e^{12t-6t^2}	\int\:(1-t)e^{12t-6t^{2}}dt
y^'=y(xy^2+2)	y^{\prime\:}=y(xy^{2}+2)
integral of sqrt(x)(x+1)	\int\:\sqrt{x}(x+1)dx
derivative of (x^2/(sqrt(1+x^3)))	\frac{d}{dx}(\frac{x^{2}}{\sqrt{1+x^{3}}})
integral of-1/(x^5)	\int\:-\frac{1}{x^{5}}dx
derivative of-x/(3y)	derivative\:-\frac{x}{3y}
integral of 2/(2-e^x)	\int\:\frac{2}{2-e^{x}}dx
d/(d{x)}({x}^{{y}^{{z}}})	\frac{d}{d{x}}({x}^{{y}^{{z}}})
derivative of y=(3x^3+4)^2	derivative\:y=(3x^{3}+4)^{2}
integral of 2^{x+1}	\int\:2^{x+1}dx
derivative of x^2+{f}(x)	\frac{d}{dx}(x^{2}+{f}(x))
integral of sin^4(u)	\int\:\sin^{4}(u)du
derivative of y=(ax+b)/(cx+d)	derivative\:y=\frac{ax+b}{cx+d}
integral of ne^{-n}	\int\:ne^{-n}dn
derivative of f(x)=-5ln(sin(x))	derivative\:f(x)=-5\ln(\sin(x))
derivative of sin(tan(x))	\frac{d}{dx}(\sin(\tan(x)))
(\partial)/(\partial x)(z(arctan(y/x)))	\frac{\partial\:}{\partial\:x}(z(\arctan(\frac{y}{x})))
(\partial)/(\partial x)((x^2-8)e^x)	\frac{\partial\:}{\partial\:x}((x^{2}-8)e^{x})
(\partial)/(\partial u)(v/(6+uvw))	\frac{\partial\:}{\partial\:u}(\frac{v}{6+uvw})
integral from 0 to 3 of xsqrt(9-x^2)	\int\:_{0}^{3}x\sqrt{9-x^{2}}dx
derivative of 8x-2x^3	\frac{d}{dx}(8x-2x^{3})
integral of x^3sqrt(x^4+2)	\int\:x^{3}\sqrt{x^{4}+2}dx
derivative of (3-5xe^x)(3x+2)	derivative\:(3-5xe^{x})(3x+2)
(\partial)/(\partial x)(e^{-(x^2)/(4d^2)})	\frac{\partial\:}{\partial\:x}(e^{-\frac{x^{2}}{4d^{2}}})
(1+cos(t))((dy)/(dt))=(1+e^{-y})sin(t)	(1+\cos(t))(\frac{dy}{dt})=(1+e^{-y})\sin(t)
tangent of f(x)=(x^2+36)(2x+21)	tangent\:f(x)=(x^{2}+36)(2x+21)
(dy)/(dx)= x/(sqrt(1-4x^2))	\frac{dy}{dx}=\frac{x}{\sqrt{1-4x^{2}}}
(d^3)/(dx^3)((4x-3)^{1/2})	\frac{d^{3}}{dx^{3}}((4x-3)^{\frac{1}{2}})
(\partial)/(\partial y)(2x+y^3)	\frac{\partial\:}{\partial\:y}(2x+y^{3})
limit as x approaches 1 of (\|x-8\|)/(x-8)	\lim\:_{x\to\:1}(\frac{\left\|x-8\right\|}{x-8})
derivative of (3x/(1-x))	\frac{d}{dx}(\frac{3x}{1-x})
limit as x approaches 4 of-4/(-x+4)	\lim\:_{x\to\:4}(-\frac{4}{-x+4})
integral of e^{1/x}	\int\:e^{\frac{1}{x}}dx
integral of x/(4+x^2)	\int\:\frac{x}{4+x^{2}}dx
derivative of (5+6x)^2	derivative\:(5+6x)^{2}
derivative of (e^{-x}/(2-x))	\frac{d}{dx}(\frac{e^{-x}}{2-x})
derivative of 168(2x+5^5)	\frac{d}{dx}(168(2x+5)^{5})
derivative of ((x+1/(x-1))^7)	\frac{d}{dx}((\frac{x+1}{x-1})^{7})
(\partial)/(\partial x)(ln(xy^2z^3))	\frac{\partial\:}{\partial\:x}(\ln(xy^{2}z^{3}))
derivative of 7cos(3x)	\frac{d}{dx}(7\cos(3x))
derivative of y(θ)=4sin(θ)-3cos(θ)	derivative\:y(θ)=4\sin(θ)-3\cos(θ)
integral of (x^2)/((1-x^2)^{1/2)}	\int\:\frac{x^{2}}{(1-x^{2})^{\frac{1}{2}}}dx
integral of 15e^{-5t}	\int\:15e^{-5t}dt
integral of 4sec^2(4x)sqrt(tan(4x))	\int\:4\sec^{2}(4x)\sqrt{\tan(4x)}dx
integral of 10sin(x)	\int\:10\sin(x)dx
(dy)/(dx)=((x-1)(y+3))/((x+4)(y-2))	\frac{dy}{dx}=\frac{(x-1)(y+3)}{(x+4)(y-2)}
derivative of x-7	\frac{d}{dx}(x-7)
(\partial)/(\partial x)(x^2-xy)	\frac{\partial\:}{\partial\:x}(x^{2}-xy)
integral of 1/((4x^2-24x+7)^{3/2)}	\int\:\frac{1}{(4x^{2}-24x+7)^{\frac{3}{2}}}dx
integral of 2sin(x)-sec^2(x)	\int\:2\sin(x)-\sec^{2}(x)dx
(\partial)/(\partial x)(6xy-12)	\frac{\partial\:}{\partial\:x}(6xy-12)
integral of 2tan(x)sec^3(x)	\int\:2\tan(x)\sec^{3}(x)dx
derivative of pi/((2x^5))	\frac{d}{dx}(\frac{π}{(2x)^{5}})
derivative of y=(x^2-4x+3)/(x^2)	derivative\:y=\frac{x^{2}-4x+3}{x^{2}}
integral from 1 to 2 of 1/(2x-1)	\int\:_{1}^{2}\frac{1}{2x-1}dx
integral of sqrt(27-x^2)	\int\:\sqrt{27-x^{2}}dx
limit as x approaches pi/2 of e^{tan(x)}	\lim\:_{x\to\:\frac{π}{2}}(e^{\tan(x)})
derivative of y=(4x)/(x^2+1)	derivative\:y=\frac{4x}{x^{2}+1}
integral of 38	\int\:38dx
laplacetransform sin(t+2pi)	laplacetransform\:\sin(t+2π)
integral of (2sin(2x)-2cos(2x))	\int\:(2\sin(2x)-2\cos(2x))dx
integral of x^4sin(4x)	\int\:x^{4}\sin(4x)dx
limit as x approaches 1 of (x-1)^{(x+4)}	\lim\:_{x\to\:1}((x-1)^{(x+4)})
(2xy^2-6)dx+(2x^2y+7)dy=0	(2xy^{2}-6)dx+(2x^{2}y+7)dy=0
integral of (sqrt(x)+1)^2	\int\:(\sqrt{x}+1)^{2}dx
implicit x^3y^2=xy^3+6	implicit\:x^{3}y^{2}=xy^{3}+6
integral of 1/(x^2sqrt(x^2-15))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-15}}dx
area y=x^2,y=-x+2	area\:y=x^{2},y=-x+2
inverse oflaplace 1/((s-1)^3)	inverselaplace\:\frac{1}{(s-1)^{3}}
integral of (9xe^{x^2}+5/x-5^x+3x^2)	\int\:(9xe^{x^{2}}+\frac{5}{x}-5^{x}+3x^{2})dx
limit as x approaches-2 of n(x)	\lim\:_{x\to\:-2}(n(x))
derivative of (2x^3)/(5y^3)	derivative\:\frac{2x^{3}}{5y^{3}}
integral of 1/(xsqrt(x^2-100))	\int\:\frac{1}{x\sqrt{x^{2}-100}}dx
(\partial)/(\partial y)(e^{xyz^7}yz^7)	\frac{\partial\:}{\partial\:y}(e^{xyz^{7}}yz^{7})
(dv)/(dt)=k(250-v)	\frac{dv}{dt}=k(250-v)

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