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Popular Calculus Problems

integral from-1 to 1 of 2^x	\int\:_{-1}^{1}2^{x}dx
derivative of 2+3/(1+(x+1^2))	\frac{d}{dx}(2+\frac{3}{1+(x+1)^{2}})
derivative of 8xsin(x)	\frac{d}{dx}(8x\sin(x))
limit as x approaches-3+of (x-3)/(x-4)	\lim\:_{x\to\:-3+}(\frac{x-3}{x-4})
derivative of (e^{x^2}/((2x+1)^5))	\frac{d}{dx}(\frac{e^{x^{2}}}{(2x+1)^{5}})
(\partial)/(\partial y)(4xy^3)	\frac{\partial\:}{\partial\:y}(4xy^{3})
sum from n=1 to infinity of 2/(n*(n+2))	\sum\:_{n=1}^{\infty\:}\frac{2}{n\cdot\:(n+2)}
f(x)=2sec(x)	f(x)=2\sec(x)
derivative of 80(1-0.1x^3)	\frac{d}{dx}(80(1-0.1x)^{3})
derivative of ln((x+b/x))	\frac{d}{dx}(\ln(\frac{x+b}{x}))
y^'+8y=5	y^{\prime\:}+8y=5
integral of (3x^4+4)/(x^2(x^2+1)^3)	\int\:\frac{3x^{4}+4}{x^{2}(x^{2}+1)^{3}}dx
area y=x^2,x=0,x=4	area\:y=x^{2},x=0,x=4
integral of (((x+1)))/((x^2-x-6))	\int\:\frac{((x+1))}{(x^{2}-x-6)}dx
(\partial)/(\partial x)(5^{x^2})	\frac{\partial\:}{\partial\:x}(5^{x^{2}})
integral of 4/(e^x)	\int\:\frac{4}{e^{x}}dx
integral of e^{-11x}	\int\:e^{-11x}dx
inverse oflaplace (s+1)/(s^2+s+10)	inverselaplace\:\frac{s+1}{s^{2}+s+10}
derivative of (sin(x))/(2x)	derivative\:\frac{\sin(x)}{2x}
(dy)/(dx)=-4(y-5)	\frac{dy}{dx}=-4(y-5)
derivative of (4x+7^2)	\frac{d}{dx}((4x+7)^{2})
limit as x approaches 4 of (1+x/3)^2	\lim\:_{x\to\:4}((1+\frac{x}{3})^{2})
integral of 3u^5-2u^3	\int\:3u^{5}-2u^{3}du
taylor v^2	taylor\:v^{2}
derivative of (4e^{4x}/(e^8(e^{16)-1)})	\frac{d}{dx}(\frac{4e^{4x}}{e^{8}(e^{16}-1)})
tangent of y=sin(x),\at x=(5pi)/3	tangent\:y=\sin(x),\at\:x=\frac{5π}{3}
limit as x approaches 0 of (5^x-7^x)/x	\lim\:_{x\to\:0}(\frac{5^{x}-7^{x}}{x})
limit as x approaches 0 of (x^2-3)/x	\lim\:_{x\to\:0}(\frac{x^{2}-3}{x})
(dy)/(dx)(2)-4xy=8x	\frac{dy}{dx}(2)-4xy=8x
integral of 8^{3x+1}	\int\:8^{3x+1}dx
derivative of (x^2/(x^2-25))	\frac{d}{dx}(\frac{x^{2}}{x^{2}-25})
integral of ((1+y^2))/y	\int\:\frac{(1+y^{2})}{y}dy
roots x^2+ax+b	roots\:x^{2}+ax+b
derivative of 4cos(pix)	\frac{d}{dx}(4\cos(πx))
derivative of (693x^{5/2})/8	derivative\:\frac{693x^{\frac{5}{2}}}{8}
limit as (x,y) approaches (0,0) of xy	\lim\:_{(x,y)\to\:(0,0)}(xy)
(\partial)/(\partial x)(e^{-(x-vt)^2})	\frac{\partial\:}{\partial\:x}(e^{-(x-vt)^{2}})
(\partial)/(\partial x)(xcos(x)sin(x))	\frac{\partial\:}{\partial\:x}(x\cos(x)\sin(x))
derivative of f(x)=cos(x)sec(x)	derivative\:f(x)=\cos(x)\sec(x)
derivative of x^2-5	derivative\:x^{2}-5
derivative of (2x^{3x})	\frac{d}{dx}((2x)^{3x})
derivative of 5x-9	\frac{d}{dx}(5x-9)
y^{''}-5y^'+6y=sin(x)	y^{\prime\:\prime\:}-5y^{\prime\:}+6y=\sin(x)
integral of sec^2(3θ)	\int\:\sec^{2}(3θ)dθ
limit as x approaches 8-of x/(ln(9-x))	\lim\:_{x\to\:8-}(\frac{x}{\ln(9-x)})
derivative of arctan(x-1)	\frac{d}{dx}(\arctan(x-1))
y^'-((2x)/((1+x^2)))y=0	y^{\prime\:}-(\frac{2x}{(1+x^{2})})y=0
integral of ln(e^{u^2})	\int\:\ln(e^{u^{2}})du
3x-4ysqrt(x^2+1)(dy)/(dx)=0	3x-4y\sqrt{x^{2}+1}\frac{dy}{dx}=0
limit as x approaches 3 of x^2-4x	\lim\:_{x\to\:3}(x^{2}-4x)
integral of 4/(4x-1)	\int\:\frac{4}{4x-1}dx
derivative of ta{g}(t,xx)	\frac{d}{dx}(ta{g}(t,x)x)
derivative of 46*sin(x+10.7)	\frac{d}{dx}(46\cdot\:\sin(x)+10.7)
maclaurin arctan(x^2)	maclaurin\:\arctan(x^{2})
simplify 3e^x+4/(\sqrt[3]{x)}	simplify\:3e^{x}+\frac{4}{\sqrt[3]{x}}
integral from 1 to 2 of e^{-x}	\int\:_{1}^{2}e^{-x}dx
area 4x=y^2+12,3<= x<= 11	area\:4x=y^{2}+12,3\le\:x\le\:11
integral from 0 to pi/2 of \|7sin(x)-7cos(2x)\|	\int\:_{0}^{\frac{π}{2}}\left\|7\sin(x)-7\cos(2x)\right\|dx
tangent of y= 2/(x^2)	tangent\:y=\frac{2}{x^{2}}
integral from 6 to infinity of 1/(x^2+x)	\int\:_{6}^{\infty\:}\frac{1}{x^{2}+x}dx
(dy)/(dt)=2-y	\frac{dy}{dt}=2-y
(dy)/(dx)=x^4(32-x^5)^5	\frac{dy}{dx}=x^{4}(32-x^{5})^{5}
slope ofintercept (-1.6)(1.5)	slopeintercept\:(-1.6)(1.5)
taylor ln(x),x=1	taylor\:\ln(x),x=1
integral of (4x-2)/(x^4+x^2)	\int\:\frac{4x-2}{x^{4}+x^{2}}dx
derivative of y=ln(sqrt(x^2-4))	derivative\:y=\ln(\sqrt{x^{2}-4})
limit as x approaches 2 of 3-x^{1/(x^2)}	\lim\:_{x\to\:2}(3-x^{\frac{1}{x^{2}}})
derivative of (sqrt(x)dx)	\frac{d}{dx}((\sqrt{x})dx)
derivative of cos((1-e^{6x}/(1+e^{6x)}))	\frac{d}{dx}(\cos(\frac{1-e^{6x}}{1+e^{6x}}))
limit as x approaches infinity of 9.9	\lim\:_{x\to\:\infty\:}(9.9)
y^'=(x-y)/(x+y)	y^{\prime\:}=\frac{x-y}{x+y}
derivative of e^{2x}0.2	\frac{d}{dx}(e^{2x}0.2)
limit as x approaches 0 of xcot(x)	\lim\:_{x\to\:0}(x\cot(x))
10x-8ysqrt(x^2+1)y^'=0	10x-8y\sqrt{x^{2}+1}y^{\prime\:}=0
limit as x approaches 6 of 6(10)(-5)	\lim\:_{x\to\:6}(6(10)(-5))
tangent of y=0.0006x^{0.837}	tangent\:y=0.0006x^{0.837}
integral of 1/2 sec(x)tan(x)	\int\:\frac{1}{2}\sec(x)\tan(x)dx
derivative of f(x)=(100)/x	derivative\:f(x)=\frac{100}{x}
(dv)/(dt)+k/5 v+9.8=0	\frac{dv}{dt}+\frac{k}{5}v+9.8=0
integral of 5e^{0.3x}	\int\:5e^{0.3x}dx
(\partial)/(\partial x)(x/t)	\frac{\partial\:}{\partial\:x}(\frac{x}{t})
derivative of tan(5x^3)	\frac{d}{dx}(\tan(5x^{3}))
integral of e^{2x}ln(e^x)	\int\:e^{2x}\ln(e^{x})dx
tangent of y=x^2-8x,\at x=-8	tangent\:y=x^{2}-8x,\at\:x=-8
d/(d{y)}(e^{{x}{y}{z}})	\frac{d}{d{y}}(e^{{x}{y}{z}})
integral of (1/(2x^3))	\int\:(\frac{1}{2x^{3}})dx
integral of sin^3(xco)s^2x	\int\:\sin^{3}(xco)s^{2}xdx
integral of ((x^2-1))/(sqrt(x))	\int\:\frac{(x^{2}-1)}{\sqrt{x}}dx
integral of 2xsqrt(2x-3)	\int\:2x\sqrt{2x-3}dx
sum from n=1 to infinity of 7/(n(n+3))	\sum\:_{n=1}^{\infty\:}\frac{7}{n(n+3)}
derivative of e^xx-4e^x	derivative\:e^{x}x-4e^{x}
limit as x approaches 0 of (6^x-10^x)/x	\lim\:_{x\to\:0}(\frac{6^{x}-10^{x}}{x})
derivative of arccsc(4x)	\frac{d}{dx}(\arccsc(4x))
derivative of 1000x-x^2	\frac{d}{dx}(1000x-x^{2})
(x/2)^'	(\frac{x}{2})^{\prime\:}
integral of 5x^2sin(9x)	\int\:5x^{2}\sin(9x)dx
area 2sqrt(x),[1,2]	area\:2\sqrt{x},[1,2]
integral of 25	\int\:25
integral of 2/3 sec^2(x/3)	\int\:\frac{2}{3}\sec^{2}(\frac{x}{3})dx
integral of cos(3x)cos(5x)	\int\:\cos(3x)\cos(5x)dx

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