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Popular Calculus Problems

integral of 4sin(2θ)	\int\:4\sin(2θ)dθ
integral from-2 to 2 of x^2-4	\int\:_{-2}^{2}x^{2}-4dx
derivative of 3sin^2(x+sec(2x))	\frac{d}{dx}(3\sin^{2}(x)+\sec(2x))
tangent of f(x)=sqrt(x)+1/x ,\at x=4	tangent\:f(x)=\sqrt{x}+\frac{1}{x},\at\:x=4
integral of (3t+5)cos(t/4)	\int\:(3t+5)\cos(\frac{t}{4})dt
f(x)=3x^{(2)}-5x-6	f(x)=3x^{(2)}-5x-6
derivative of sqrt(16x)	\frac{d}{dx}(\sqrt{16x})
d/(dy)(yln(y)-e^{-xy})	\frac{d}{dy}(y\ln(y)-e^{-xy})
integral of (2sin(1/(5x)))/(5x^2)	\int\:\frac{2\sin(\frac{1}{5x})}{5x^{2}}dx
area y=(64)/(16+x^2),y=1	area\:y=\frac{64}{16+x^{2}},y=1
integral of 2sec(4x)	\int\:2\sec(4x)dx
inverse oflaplace 1/(s+42)-1/((s+3)^4)	inverselaplace\:\frac{1}{s+42}-\frac{1}{(s+3)^{4}}
integral of-picos(1pi)t	\int\:-π\cos(1π)tdt
(\partial)/(\partial x)(-2e^{3x})	\frac{\partial\:}{\partial\:x}(-2e^{3x})
derivative of cos(ax)	\frac{d}{dx}(\cos(ax))
tangent of 11-x^2	tangent\:11-x^{2}
integral from 0 to 2 of 1/(1-x^2)	\int\:_{0}^{2}\frac{1}{1-x^{2}}dx
derivative of ln(sqrt((1+cos(x)/(1-cos(x)))))	\frac{d}{dx}(\ln(\sqrt{\frac{1+\cos(x)}{1-\cos(x)}}))
integral of 1/((x^2-4x-5))	\int\:\frac{1}{(x^{2}-4x-5)}dx
taylor x^4+2x,1	taylor\:x^{4}+2x,1
(12x+x^2+0.05x^3)^'	(12x+x^{2}+0.05x^{3})^{\prime\:}
integral from-1 to 1 of e^y-(y^2-2)	\int\:_{-1}^{1}e^{y}-(y^{2}-2)dy
sum from n=2 to infinity of 3/(4^n)	\sum\:_{n=2}^{\infty\:}\frac{3}{4^{n}}
(\partial)/(\partial x)(ln(1+x^2+y^2))	\frac{\partial\:}{\partial\:x}(\ln(1+x^{2}+y^{2}))
(\partial)/(\partial x)(13.12+0.6215x-11.37y^{0.16}+0.3965xy^{0.16})	\frac{\partial\:}{\partial\:x}(13.12+0.6215x-11.37y^{0.16}+0.3965xy^{0.16})
tangent of f(x)=sin(x)cos(x)	tangent\:f(x)=\sin(x)\cos(x)
integral of x/((x^2+1)(x^2+4x+4))	\int\:\frac{x}{(x^{2}+1)(x^{2}+4x+4)}dx
limit as x approaches 0 of 8xcsc(5x)	\lim\:_{x\to\:0}(8x\csc(5x))
11(t+1)(dy)/(dt)-8y=24t	11(t+1)\frac{dy}{dt}-8y=24t
y^'+e^xy=e^x	y^{\prime\:}+e^{x}y=e^{x}
d/(dt)(t-1/t)	\frac{d}{dt}(t-\frac{1}{t})
(dy)/(dx)=e^{y/x}+y/x	\frac{dy}{dx}=e^{\frac{y}{x}}+\frac{y}{x}
integral of x^3(9+x^4)^6	\int\:x^{3}(9+x^{4})^{6}dx
(\partial)/(\partial x)(4(y/x)^{1/2})	\frac{\partial\:}{\partial\:x}(4(\frac{y}{x})^{\frac{1}{2}})
area f(x)=2x^2+2,[-2,3]	area\:f(x)=2x^{2}+2,[-2,3]
integral of 1/(x^2sqrt(4+x^2))	\int\:\frac{1}{x^{2}\sqrt{4+x^{2}}}dx
integral of (e^x)/(e^{2x)-3e^x+2}	\int\:\frac{e^{x}}{e^{2x}-3e^{x}+2}dx
derivative of sqrt(tan^2(3x+1))	\frac{d}{dx}(\sqrt{\tan^{2}(3x)+1})
sum from n=7 to infinity of 1/(6n)	\sum\:_{n=7}^{\infty\:}\frac{1}{6n}
slope of y=x^2+5x,x=8	slope\:y=x^{2}+5x,x=8
integral of (3x^3)/(x^2+1)	\int\:\frac{3x^{3}}{x^{2}+1}dx
sum from n=0 to infinity of 1/(sqrt(n))	\sum\:_{n=0}^{\infty\:}\frac{1}{\sqrt{n}}
(\partial)/(\partial x)(x^{0.7}y^{0.3})	\frac{\partial\:}{\partial\:x}(x^{0.7}y^{0.3})
integral from 0 to 1 of 3e^{-2x}	\int\:_{0}^{1}3e^{-2x}dx
sum from n=1 to infinity of (7*n!)/(n^n)	\sum\:_{n=1}^{\infty\:}\frac{7\cdot\:n!}{n^{n}}
(\partial)/(\partial x)(-cos(4x))	\frac{\partial\:}{\partial\:x}(-\cos(4x))
limit as t approaches 0 of (tan(6t))/(sin(2t))	\lim\:_{t\to\:0}(\frac{\tan(6t)}{\sin(2t)})
integral of (ax+b)/(px+q)	\int\:\frac{ax+b}{px+q}dx
x((dy)/(dx))-y=x	x(\frac{dy}{dx})-y=x
integral from 0 to L of x/(x)	\int\:_{0}^{L}\frac{x}{d+x}dx
(\partial)/(\partial x)((2x+5y)e^y)	\frac{\partial\:}{\partial\:x}((2x+5y)e^{y})
(\partial)/(\partial x)(x+y-xy)	\frac{\partial\:}{\partial\:x}(x+y-xy)
integral from 0 to 8 of (x+1)^2	\int\:_{0}^{8}(x+1)^{2}dx
limit as x approaches 0 of (ln(1-6x))/x	\lim\:_{x\to\:0}(\frac{\ln(1-6x)}{x})
limit as x approaches-8 of (\|x+8\|)/(x+8)	\lim\:_{x\to\:-8}(\frac{\left\|x+8\right\|}{x+8})
derivative of-(4x)/y	derivative\:-\frac{4x}{y}
derivative of f(x)=sqrt(x)cos(x)	derivative\:f(x)=\sqrt{x}\cos(x)
integral from 1 to 2 of (e^{1/(x^5)})/(x^6)	\int\:_{1}^{2}\frac{e^{\frac{1}{x^{5}}}}{x^{6}}dx
limit as x approaches 2-of x-a	\lim\:_{x\to\:2-}(x-a)
integral of (9-z^2)(6-2z)	\int\:(9-z^{2})(6-2z)dz
integral of sin(2x)e^{-sx}	\int\:\sin(2x)e^{-sx}dx
integral from 4 to infinity of e^{-8x}	\int\:_{4}^{\infty\:}e^{-8x}dx
(2dy)/(dx)+10y=5	\frac{2dy}{dx}+10y=5
derivative of (e^x+e^{-x})/4	derivative\:\frac{e^{x}+e^{-x}}{4}
y^'+2y=xy^3	y^{\prime\:}+2y=xy^{3}
derivative of f(x)=9x+2	derivative\:f(x)=9x+2
limit as t approaches 2 of (t+2)^{3/2}(2t+4)^{1/3}	\lim\:_{t\to\:2}((t+2)^{\frac{3}{2}}(2t+4)^{\frac{1}{3}})
integral from 1/7 to 3 of 16xln(7x)	\int\:_{\frac{1}{7}}^{3}16x\ln(7x)dx
integral from 0 to 4 of sqrt(17)	\int\:_{0}^{4}\sqrt{17}dx
integral from 1 to t of (37)/(x^3)	\int\:_{1}^{t}\frac{37}{x^{3}}dx
y^'=-x^2-1/x*y	y^{\prime\:}=-x^{2}-\frac{1}{x}\cdot\:y
integral of 1/(sqrt(1-64x^2))	\int\:\frac{1}{\sqrt{1-64x^{2}}}dx
integral of (2x+3)/(x^3+x^2-2x)	\int\:\frac{2x+3}{x^{3}+x^{2}-2x}dx
sum from n=2 to infinity of 1/n (-1)^n	\sum\:_{n=2}^{\infty\:}\frac{1}{n}(-1)^{n}
area y^2=16-x,(y+2)^2=x+4	area\:y^{2}=16-x,(y+2)^{2}=x+4
derivative of (e^s)/(7s+1)	derivative\:\frac{e^{s}}{7s+1}
derivative of f(x)=(xe^{2x-4}),x=2	derivative\:f(x)=(xe^{2x-4}),x=2
sum from n=1 to infinity of (n-7)/(n+7)	\sum\:_{n=1}^{\infty\:}\frac{n-7}{n+7}
derivative of f(x)=sec^5(x)	derivative\:f(x)=\sec^{5}(x)
derivative of (128000/x+x^2)	\frac{d}{dx}(\frac{128000}{x}+x^{2})
(\partial)/(\partial x)(3x^2+4xy+2y^2)	\frac{\partial\:}{\partial\:x}(3x^{2}+4xy+2y^{2})
tangent of 4cos(x),\at x=-pi/3	tangent\:4\cos(x),\at\:x=-\frac{π}{3}
area (x^2-12),(x-6)	area\:(x^{2}-12),(x-6)
derivative of x^3-x-1	\frac{d}{dx}(x^{3}-x-1)
derivative of (x-2)^2-sin(3x)	derivative\:(x-2)^{2}-\sin(3x)
integral of (3-2x)/(5x+7)	\int\:\frac{3-2x}{5x+7}dx
integral from 1 to 2 of 9r^4ln(r)	\int\:_{1}^{2}9r^{4}\ln(r)dr
y^'+2ty=t	y^{\prime\:}+2ty=t
derivative of (cos(x))/(x^8)	derivative\:\frac{\cos(x)}{x^{8}}
tangent of y=8xsin(x)	tangent\:y=8x\sin(x)
integral from 0 to 0.5 of 2x	\int\:_{0}^{0.5}2xdx
integral of sqrt(1+4t^2)	\int\:\sqrt{1+4t^{2}}dt
limit as x approaches 2+of (-5)/(x-2)	\lim\:_{x\to\:2+}(\frac{-5}{x-2})
derivative of (2x-3/(2x+5))	\frac{d}{dx}(\frac{2x-3}{2x+5})
integral of (x-3)*cos(x)	\int\:(x-3)\cdot\:\cos(x)dx
integral of (5r^2)/(r+3)	\int\:\frac{5r^{2}}{r+3}dr
derivative of x^2ln(5x)	\frac{d}{dx}(x^{2}\ln(5x))
derivative of (x-2)^2	derivative\:(x-2)^{2}
factor 7p^3+4p	factor\:7p^{3}+4p
derivative of 2e^{3x}	derivative\:2e^{3x}

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