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Popular Calculus Problems

integral of 4xcos(x)	\int\:4x\cos(x)dx
integral from-2 to 3 of 3/(x^4)	\int\:_{-2}^{3}\frac{3}{x^{4}}dx
(\partial)/(\partial x)(v)	\frac{\partial\:}{\partial\:x}(v)
sum from n=0 to infinity of (-1)^nx^{3n}	\sum\:_{n=0}^{\infty\:}(-1)^{n}x^{3n}
limit as (x,y) approaches (1,1) of x+y	\lim\:_{(x,y)\to\:(1,1)}(x+y)
integral of (2-4t^2)/(t-t^3)	\int\:\frac{2-4t^{2}}{t-t^{3}}dt
derivative of (x^2^{2x})	\frac{d}{dx}((x^{2})^{2x})
integral from 0 to pi/6 of 17sec^4(x)	\int\:_{0}^{\frac{π}{6}}17\sec^{4}(x)dx
inverse oflaplace (8s^2-4s+12)/(s(s^2+4))	inverselaplace\:\frac{8s^{2}-4s+12}{s(s^{2}+4)}
tangent of f(x)=sqrt(x),\at x= 49/121	tangent\:f(x)=\sqrt{x},\at\:x=\frac{49}{121}
derivative of 1/(sqrt(2-x))	\frac{d}{dx}(\frac{1}{\sqrt{2-x}})
(d^4)/(dx^4)(2e^{x^2})	\frac{d^{4}}{dx^{4}}(2e^{x^{2}})
laplacetransform-3y	laplacetransform\:-3y
(\partial)/(\partial y)(y+xy)	\frac{\partial\:}{\partial\:y}(y+xy)
limit as x approaches-4 of (x^2+3x-4)/(x+4)	\lim\:_{x\to\:-4}(\frac{x^{2}+3x-4}{x+4})
tangent of-x^2+1	tangent\:-x^{2}+1
derivative of (x^3-4x)(5x^2+2x)	derivative\:(x^{3}-4x)(5x^{2}+2x)
derivative of e^{x^4+7x}	\frac{d}{dx}(e^{x^{4}+7x})
(\partial)/(\partial x)(7+xln(xy-9))	\frac{\partial\:}{\partial\:x}(7+x\ln(xy-9))
derivative of (x^3+5x^2-x^{-2}+8^{-7/6})	\frac{d}{dx}((x^{3}+5x^{2}-x^{-2}+8)^{-\frac{7}{6}})
limit as q approaches 0+of sqrt(4q)	\lim\:_{q\to\:0+}(\sqrt{4q})
integral of 22x^{21}	\int\:22x^{21}dx
limit as x approaches 8 of x^{8/3}	\lim\:_{x\to\:8}(x^{\frac{8}{3}})
(2x-x^{-2}y)dx+x^{-1}dy=0	(2x-x^{-2}y)dx+x^{-1}dy=0
integral of (2x^3+x^2+4)/((x^2+4)^2)	\int\:\frac{2x^{3}+x^{2}+4}{(x^{2}+4)^{2}}dx
(\partial)/(\partial x)(xe^y-ln(x))	\frac{\partial\:}{\partial\:x}(xe^{y}-\ln(x))
taylor-1/(x^2)	taylor\:-\frac{1}{x^{2}}
derivative of (4x^2-3/(x-1))	\frac{d}{dx}(\frac{4x^{2}-3}{x-1})
d/(dt)((sin(t)+cos(t))^2)	\frac{d}{dt}((\sin(t)+\cos(t))^{2})
slope of y=5x^2+6/x	slope\:y=5x^{2}+\frac{6}{x}
derivative of y=(8t)/(8+sqrt(t))	derivative\:y=\frac{8t}{8+\sqrt{t}}
limit as x approaches 2 of 2xe^{x^2}	\lim\:_{x\to\:2}(2xe^{x^{2}})
integral of 2x^3(1-x^4)^{-1/4}	\int\:2x^{3}(1-x^{4})^{-\frac{1}{4}}dx
integral of x/(sqrt(9-4x^2))	\int\:\frac{x}{\sqrt{9-4x^{2}}}dx
integral of ((1+6ln(x))^2)/x	\int\:\frac{(1+6\ln(x))^{2}}{x}dx
derivative of b/x	\frac{d}{dx}(\frac{b}{x})
(dy)/(dx)=(x^2y^2)/(1+x)	\frac{dy}{dx}=\frac{x^{2}y^{2}}{1+x}
integral from 0 to 5 of 2x^2e^{-x}	\int\:_{0}^{5}2x^{2}e^{-x}dx
derivative of 3500(1-1/50 t)^2	derivative\:3500(1-\frac{1}{50}t)^{2}
derivative of 3t(2t^2-5)^4	derivative\:3t(2t^{2}-5)^{4}
inverse oflaplace ((s-2))/((s-2)^2+1)	inverselaplace\:\frac{(s-2)}{(s-2)^{2}+1}
x^9dx+y^9dy=0	x^{9}dx+y^{9}dy=0
inverse oflaplace 1/(s(s^2+2s+1))	inverselaplace\:\frac{1}{s(s^{2}+2s+1)}
(\partial)/(\partial x)(e^{2x+y})	\frac{\partial\:}{\partial\:x}(e^{2x+y})
derivative of y=f(x)=tan(sqrt(x)+1)	derivative\:y=f(x)=\tan(\sqrt{x}+1)
tangent of f(x)=7x-6sqrt(x),\at x=1	tangent\:f(x)=7x-6\sqrt{x},\at\:x=1
limit as x approaches 10 of 12x	\lim\:_{x\to\:10}(12x)
3x^2ydx+(y+x^3)dy=0	3x^{2}ydx+(y+x^{3})dy=0
derivative of ln(1/(1+e^{-x}))	\frac{d}{dx}(\ln(\frac{1}{1+e^{-x}}))
derivative of (sqrt(x)/(1+x^{3/2)})	\frac{d}{dx}(\frac{\sqrt{x}}{1+x^{\frac{3}{2}}})
(\partial)/(\partial x)(sqrt(y/x))	\frac{\partial\:}{\partial\:x}(\sqrt{\frac{y}{x}})
integral from 0 to x of sqrt(t^2+t^4)	\int\:_{0}^{x}\sqrt{t^{2}+t^{4}}dt
(dy)/(dx)=y^2-4	\frac{dy}{dx}=y^{2}-4
(\partial)/(\partial x)(sin(5pix+2y))	\frac{\partial\:}{\partial\:x}(\sin(5πx+2y))
derivative of (xy(x^2-y^2)/(x^2+y^2))	\frac{d}{dx}(\frac{xy(x^{2}-y^{2})}{x^{2}+y^{2}})
tangent of f(x)=x^4-20x^2+64,\at x=2	tangent\:f(x)=x^{4}-20x^{2}+64,\at\:x=2
limit as x approaches (5pi)/2 of sec(x)	\lim\:_{x\to\:\frac{5π}{2}}(\sec(x))
derivative of 1/(2sqrt(r))+1/(6r^{5/6)}	derivative\:\frac{1}{2\sqrt{r}}+\frac{1}{6r^{\frac{5}{6}}}
derivative of ((x+2)(2x+4))/(-x^2-x-2)	derivative\:\frac{(x+2)(2x+4)}{-x^{2}-x-2}
derivative of x+x^2	\frac{d}{dx}(x+x^{2})
derivative of ln(((2x+9^3)/(x^2)))	\frac{d}{dx}(\ln(\frac{(2x+9)^{3}}{x^{2}}))
derivative of (arcsin(5x)^{2x})	\frac{d}{dx}((\arcsin(5x))^{2x})
(d^2)/(dx^2)((x^2)/(x-3))	\frac{d^{2}}{dx^{2}}(\frac{x^{2}}{x-3})
integral of (2x-3)e^{x^2-3x+1}	\int\:(2x-3)e^{x^{2}-3x+1}dx
integral of (x^2-x+2)/(x^4+10x^2+9)	\int\:\frac{x^{2}-x+2}{x^{4}+10x^{2}+9}dx
tangent of f(x)=6+5x^2-2x^3,\at x=a	tangent\:f(x)=6+5x^{2}-2x^{3},\at\:x=a
d/(dt)(e^{-8t})	\frac{d}{dt}(e^{-8t})
inverse oflaplace 5/((s+1)(s+2)^2)	inverselaplace\:\frac{5}{(s+1)(s+2)^{2}}
derivative of cos(3x)cos(5*x)	derivative\:\cos(3\cdot\:x)\cdot\:\cos(5\cdot\:x)
(\partial)/(\partial y)(e^{(x/y)})	\frac{\partial\:}{\partial\:y}(e^{(\frac{x}{y})})
derivative of 7^{9x}	\frac{d}{dx}(7^{9x})
integral of x^3*sqrt(x^2+1)	\int\:x^{3}\cdot\:\sqrt{x^{2}+1}dx
derivative of x^3-8x^2+5x+8	derivative\:x^{3}-8x^{2}+5x+8
inverse oflaplace 1/(2s^2)	inverselaplace\:\frac{1}{2s^{2}}
derivative of 1/3 x^6(x^2-3)	\frac{d}{dx}(\frac{1}{3}x^{6}(x^{2}-3))
(dy)/(dx)+xy=e^xy	\frac{dy}{dx}+xy=e^{x}y
derivative of ((x^4-4x+3)/(sqrt(x)+1))	\frac{d}{dx}(\frac{(x^{4}-4x+3)}{\sqrt{x}+1})
tangent of f(x)=x^2+4,\at x=1	tangent\:f(x)=x^{2}+4,\at\:x=1
tangent of f(x)=x^5-3(x)^3+6	tangent\:f(x)=x^{5}-3(x)^{3}+6
derivative of 6x^5(x^4-8)	derivative\:6x^{5}(x^{4}-8)
inverse oflaplace ((2s+13))/(s^2+4s+13)	inverselaplace\:\frac{(2s+13)}{s^{2}+4s+13}
integral from 0 to 4 of 1	\int\:_{0}^{4}1
derivative of 7x^{-1}	\frac{d}{dx}(7x^{-1})
integral of 2xsin(3xy)	\int\:2x\sin(3xy)dx
limit as x approaches-4 of x^3+x^2	\lim\:_{x\to\:-4}(x^{3}+x^{2})
integral from 2 to 5 of f(x)	\int\:_{2}^{5}f(x)dx
limit as x approaches infinity of-(1/x)	\lim\:_{x\to\:\infty\:}(-(\frac{1}{x}))
integral of \sqrt[3]{4-2x^2}(-4x)	\int\:\sqrt[3]{4-2x^{2}}(-4x)dx
(\partial)/(\partial x)(e^{-2x^2-y^2})	\frac{\partial\:}{\partial\:x}(e^{-2x^{2}-y^{2}})
integral of ((csc^2(x)))/((1+cot(x)))	\int\:\frac{(\csc^{2}(x))}{(1+\cot(x))}dx
integral of-e^xsin(y)	\int\:-e^{x}\sin(y)dy
(\partial)/(\partial y)(x+2y+z)	\frac{\partial\:}{\partial\:y}(x+2y+z)
integral of x^2e^{-1}	\int\:x^{2}e^{-1}dx
integral of ((x^2-4x+9))/(x^2-6x+9)	\int\:\frac{(x^{2}-4x+9)}{x^{2}-6x+9}dx
(2x+3y)dx+(3x+2)dy=0	(2x+3y)dx+(3x+2)dy=0
inverse oflaplace ((3s+7))/(s^2+2s+4)	inverselaplace\:\frac{(3s+7)}{s^{2}+2s+4}
derivative of f(x)=-3x^2	derivative\:f(x)=-3x^{2}
tangent of x^2+x,\at x=3	tangent\:x^{2}+x,\at\:x=3
integral of 1/(x^2+6x+18)	\int\:\frac{1}{x^{2}+6x+18}dx
derivative of 7/2 x^2-5x+1	\frac{d}{dx}(\frac{7}{2}x^{2}-5x+1)

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