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Popular Calculus Problems

integral of 8e^{2x}sin(2x)	\int\:8e^{2x}\sin(2x)dx
derivative of-4cot(xcsc(x))	\frac{d}{dx}(-4\cot(x)\csc(x))
integral of-(sin(8x))/8	\int\:-\frac{\sin(8x)}{8}dx
integral from 1 to 2 of 1/(sqrt(4x-x^2))	\int\:_{1}^{2}\frac{1}{\sqrt{4x-x^{2}}}dx
integral of (3x)/(x^2+9)	\int\:\frac{3x}{x^{2}+9}dx
taylor 7+6sin(x^2)	taylor\:7+6\sin(x^{2})
integral of 1/(v^n)	\int\:\frac{1}{v^{n}}dv
derivative of log_{7}(x^x)	\frac{d}{dx}(\log_{7}(x^{x}))
integral of (xtan(x))/(cos(x))	\int\:\frac{x\tan(x)}{\cos(x)}dx
integral of (2e^{2x}+12x^3+4x)	\int\:(2e^{2x}+12x^{3}+4x)dx
integral of (x^4)/(2-x^5)	\int\:\frac{x^{4}}{2-x^{5}}dx
(\partial)/(\partial t)(t+sin(t-1))	\frac{\partial\:}{\partial\:t}(t+\sin(t-1))
integral of 3tan^3(2x)sec^5(2x)	\int\:3\tan^{3}(2x)\sec^{5}(2x)dx
x^3*y^'=x	x^{3}\cdot\:y^{\prime\:}=x
taylor [(z-1)^3(z+1)^2]	taylor\:[(z-1)^{3}(z+1)^{2}]
(\partial)/(\partial y)(sqrt(y+(cos(x))^2))	\frac{\partial\:}{\partial\:y}(\sqrt{y+(\cos(x))^{2}})
(((1+e^x)/2)^9)^'	((\frac{1+e^{x}}{2})^{9})^{\prime\:}
derivative of 5\sqrt[5]{x^4}	\frac{d}{dx}(5\sqrt[5]{x^{4}})
integral of 5xtan^2(x)	\int\:5x\tan^{2}(x)dx
integral of 2xe^{-4x}	\int\:2xe^{-4x}dx
integral from 0 to infinity of 7e^{-x}	\int\:_{0}^{\infty\:}7e^{-x}dx
limit as x approaches 0 of 2x+1	\lim\:_{x\to\:0}(2x+1)
derivative of 1/(2sqrt(x+12))	\frac{d}{dx}(\frac{1}{2\sqrt{x+12}})
(\partial)/(\partial x)((xd)/(nL(x,d)))	\frac{\partial\:}{\partial\:x}(\frac{x\cdot\:d}{n\cdot\:L(x,d)})
(\partial)/(\partial x)(xy+z)	\frac{\partial\:}{\partial\:x}(xy+z)
d/(dt)((t(y^2+y))^{-1})	\frac{d}{dt}((t(y^{2}+y))^{-1})
integral of (9e^{9t})/(3+e^{9t)}	\int\:\frac{9e^{9t}}{3+e^{9t}}dt
derivative of 1-5x	\frac{d}{dx}(1-5x)
sum from n=1 to infinity of 3/(2^n)	\sum\:_{n=1}^{\infty\:}\frac{3}{2^{n}}
integral from-1 to 1 of 5x	\int\:_{-1}^{1}5xdx
d/(dt)(-2e^{-2t})	\frac{d}{dt}(-2e^{-2t})
tangent of x^2-2,\at x=3	tangent\:x^{2}-2,\at\:x=3
integral of (2cos(x))/(3sin^2(x))	\int\:\frac{2\cos(x)}{3\sin^{2}(x)}dx
integral of 3sin(x/2)	\int\:3\sin(\frac{x}{2})dx
integral from 1 to 2 of (4x^3-3x^2+2x)	\int\:_{1}^{2}(4x^{3}-3x^{2}+2x)dx
integral of cos(3x-1)	\int\:\cos(3x-1)dx
integral of (3te^t,ln(t))	\int\:(3te^{t},\ln(t))dt
integral of (3x^2)/2-x-16.5	\int\:\frac{3x^{2}}{2}-x-16.5dx
2x^3(dy)/(dx)=y(2x^2-y^2)	2x^{3}\frac{dy}{dx}=y(2x^{2}-y^{2})
limit as x approaches 0 of (-6)/(x^7)	\lim\:_{x\to\:0}(\frac{-6}{x^{7}})
(d^2)/(dx^2)(3sin(x))	\frac{d^{2}}{dx^{2}}(3\sin(x))
integral of 6sin(sqrt(x))	\int\:6\sin(\sqrt{x})dx
d/(dt)((2t)/(2+sqrt(t)))	\frac{d}{dt}(\frac{2t}{2+\sqrt{t}})
derivative of e^{2x}sin(3x)	derivative\:e^{2x}\sin(3x)
xy^{''}=y^'+(y^')^2	xy^{\prime\:\prime\:}=y^{\prime\:}+(y^{\prime\:})^{2}
integral of (9+x)/(x^2)	\int\:\frac{9+x}{x^{2}}dx
tangent of f(x)=-3-7x^2,\at x=42	tangent\:f(x)=-3-7x^{2},\at\:x=42
derivative of e^{-0.05x}	\frac{d}{dx}(e^{-0.05x})
tangent of f(x)= 1/x+4,\at x=-4	tangent\:f(x)=\frac{1}{x}+4,\at\:x=-4
(dy)/(dx)+(-x)/(x+1)=0	\frac{dy}{dx}+\frac{-x}{x+1}=0
(dy)/(dx)=-(xy)/(y-1)	\frac{dy}{dx}=-\frac{xy}{y-1}
area y=x^2,y=sqrt(8+x)	area\:y=x^{2},y=\sqrt{8+x}
integral of sqrt(100t^2+36t^4)	\int\:\sqrt{100t^{2}+36t^{4}}dt
9 derivative of (dy/(dx))+10y=0	9\frac{d}{dx}(\frac{dy}{dx})+10y=0
limit as x approaches-3-of x/(x+3)	\lim\:_{x\to\:-3-}(\frac{x}{x+3})
limit as x approaches 0 of (x)(ln(x))^2	\lim\:_{x\to\:0}((x)(\ln(x))^{2})
derivative of sin(xx)	\frac{d}{dx}(\sin(x)x)
laplacetransform sin(ax)	laplacetransform\:\sin(ax)
integral of 1/(sqrt(16x^2-9))	\int\:\frac{1}{\sqrt{16x^{2}-9}}dx
(\partial)/(\partial x)(xysin(y))	\frac{\partial\:}{\partial\:x}(xy\sin(y))
integral of ((ln(x)+2)^2)/2	\int\:\frac{(\ln(x)+2)^{2}}{2}dx
integral of (e^x)/(sqrt(e^x-5))	\int\:\frac{e^{x}}{\sqrt{e^{x}-5}}dx
integral of 1/(sqrt(81-x^2))	\int\:\frac{1}{\sqrt{81-x^{2}}}dx
derivative of (2+xsin(3x)^{10})	\frac{d}{dx}((2+x\sin(3x))^{10})
derivative of (sin^2(x+1)^x)	\frac{d}{dx}((\sin^{2}(x)+1)^{x})
derivative of 4t	derivative\:4t
derivative of sin^3(3x-1)	\frac{d}{dx}(\sin^{3}(3x-1))
maclaurin e^x,5	maclaurin\:e^{x},5
limit as x approaches 3 of (\|x-1\|)/(x-1)	\lim\:_{x\to\:3}(\frac{\left\|x-1\right\|}{x-1})
derivative of (xy^2/(x^2+y^2))	\frac{d}{dx}(\frac{xy^{2}}{x^{2}+y^{2}})
integral of (e^x)/((e^x+1))	\int\:\frac{e^{x}}{(e^{x}+1)}dx
integral of 4cos(x/2)	\int\:4\cos(\frac{x}{2})dx
7x^2+(dy)/(dx)(x^3+6)=0	7x^{2}+\frac{dy}{dx}(x^{3}+6)=0
integral of 1/(x-sqrt(x+6))	\int\:\frac{1}{x-\sqrt{x+6}}dx
derivative of 4(1-sin(x))	\frac{d}{dx}(4(1-\sin(x)))
(\partial)/(\partial x)(cos^2(x)+cos^2(y))	\frac{\partial\:}{\partial\:x}(\cos^{2}(x)+\cos^{2}(y))
integral from 1 to 2 of 6x^4ln(x)	\int\:_{1}^{2}6x^{4}\ln(x)dx
derivative of f(x)=x^3ln(x)	derivative\:f(x)=x^{3}\ln(x)
derivative of (tan(x)^{e^x})	\frac{d}{dx}((\tan(x))^{e^{x}})
integral of x^2sqrt(5x+6)	\int\:x^{2}\sqrt{5x+6}dx
limit as x approaches 0 of Ce^{-4x}	\lim\:_{x\to\:0}(Ce^{-4x})
limit as x approaches-1 of (x^2+1)/x	\lim\:_{x\to\:-1}(\frac{x^{2}+1}{x})
derivative of (xy/(x^2+y^2))	\frac{d}{dx}(\frac{xy}{x^{2}+y^{2}})
integral of t^3e^{t^4}	\int\:t^{3}e^{t^{4}}dt
y^{''}+16y=2sec(4t)	y^{\prime\:\prime\:}+16y=2\sec(4t)
tangent of f(x)= 9/x	tangent\:f(x)=\frac{9}{x}
integral of (sin^2(2x)cos^4(2x))	\int\:(\sin^{2}(2x)\cos^{4}(2x))dx
limit as x approaches-6 of f(x)	\lim\:_{x\to\:-6}(f(x))
derivative of cos^2(4x+1)	\frac{d}{dx}(\cos^{2}(4x+1))
derivative of-2asin(2x)	\frac{d}{dx}(-2a\sin(2x))
integral of (x^5)/(x^6-3)	\int\:\frac{x^{5}}{x^{6}-3}dx
derivative of f(x)=9e^x(cos(x)-sin(x))	derivative\:f(x)=9e^{x}(\cos(x)-\sin(x))
derivative of x^4sin(xtan(x))	\frac{d}{dx}(x^{4}\sin(x)\tan(x))
tangent of-4x^2+7x	tangent\:-4x^{2}+7x
sum from n=3 to infinity of e^{5-4n}	\sum\:_{n=3}^{\infty\:}e^{5-4n}
integral of (-x)/((x^2+1)^2)	\int\:\frac{-x}{(x^{2}+1)^{2}}dx
limit as x approaches-3 of (3-\|x\|)/(x+3)	\lim\:_{x\to\:-3}(\frac{3-\left\|x\right\|}{x+3})
y^{''}+17y^'+70y=0	y^{\prime\:\prime\:}+17y^{\prime\:}+70y=0
slope of (-5,-2),(3,-9)	slope\:(-5,-2),(3,-9)
integral from 0 to 2 of (10x-5x^2)	\int\:_{0}^{2}(10x-5x^{2})dx

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