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Popular Calculus Problems

y^'+4e^{x+y}=0	y^{\prime\:}+4e^{x+y}=0
limit as x approaches 0 of (9x^2-2x)/x	\lim\:_{x\to\:0}(\frac{9x^{2}-2x}{x})
derivative of arccos(-x)	\frac{d}{dx}(\arccos(-x))
integral of 1/(t^2sqrt(441-t^2))	\int\:\frac{1}{t^{2}\sqrt{441-t^{2}}}dt
integral of (4x^5+1)x^4	\int\:(4x^{5}+1)x^{4}dx
(\partial)/(\partial x)(cos^3(x^7y^3))	\frac{\partial\:}{\partial\:x}(\cos^{3}(x^{7}y^{3}))
(\partial)/(\partial x)(9x^2y-3x^5y)	\frac{\partial\:}{\partial\:x}(9x^{2}y-3x^{5}y)
(\partial)/(\partial x)(sqrt(xyz))	\frac{\partial\:}{\partial\:x}(\sqrt{x\cdot\:y\cdot\:z})
limit as x approaches 4+of ((7x))/(x-4)	\lim\:_{x\to\:4+}(\frac{(7x)}{x-4})
integral of 8/(4x^2+1)	\int\:\frac{8}{4x^{2}+1}dx
area y=1-x^2,y=29-11x	area\:y=1-x^{2},y=29-11x
tangent of 2(3x-8)^4-5x+6	tangent\:2(3x-8)^{4}-5x+6
limit as x approaches 1+of cos(pix)	\lim\:_{x\to\:1+}(\cos(πx))
limit as x approaches 3 of x/(x^2+1)	\lim\:_{x\to\:3}(\frac{x}{x^{2}+1})
integral of (pi-x)cos(nx)	\int\:(π-x)\cos(nx)dx
derivative of f(t)=(\sqrt[3]{t})/(t-9)	derivative\:f(t)=\frac{\sqrt[3]{t}}{t-9}
derivative of f(x)=x^3+3x^2-2x+1	derivative\:f(x)=x^{3}+3x^{2}-2x+1
limit as x approaches+7+of 5/(x-7)	\lim\:_{x\to\:+7+}(\frac{5}{x-7})
derivative of sqrt(1/3)	derivative\:\sqrt{\frac{1}{3}}
integral from 0 to 8 of (x^2+8)e^{-x}	\int\:_{0}^{8}(x^{2}+8)e^{-x}dx
integral from 1 to 2 of (x-1)sqrt(2-x)	\int\:_{1}^{2}(x-1)\sqrt{2-x}dx
derivative of x^4+4x^2(y-2+5(y-1)^2)	\frac{d}{dx}(x^{4}+4x^{2}(y-2)+5(y-1)^{2})
derivative of x+in(x^2-1)	\frac{d}{dx}(x+in(x^{2}-1))
derivative of (-2x^3-4^{-4})	\frac{d}{dx}((-2x^{3}-4)^{-4})
derivative of f(x)=(2x+8x^2)/((1+8x)^2)	derivative\:f(x)=\frac{2x+8x^{2}}{(1+8x)^{2}}
sum from n=0 to infinity of 1/(n^1)	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{1}}
y^{''}+8y^'+15y=4	y^{\prime\:\prime\:}+8y^{\prime\:}+15y=4
tangent of y=(4x)/(x^2-5),(3,3)	tangent\:y=\frac{4x}{x^{2}-5},(3,3)
integral of 4e^x-5/x	\int\:4e^{x}-\frac{5}{x}dx
area 5x-x^2,2x,0,3	area\:5x-x^{2},2x,0,3
area \|x-8\|, x/3	area\:\left\|x-8\right\|,\frac{x}{3}
derivative of 3sin(2t)	derivative\:3\sin(2t)
integral of (e^{2x}+1)/(e^{2x)}	\int\:\frac{e^{2x}+1}{e^{2x}}dx
derivative of y=2^{(0.3x-7)}-0.0625	derivative\:y=2^{(0.3x-7)}-0.0625
derivative of y=x^2+1	derivative\:y=x^{2}+1
derivative of 2sqrt(1+x)	\frac{d}{dx}(2\sqrt{1+x})
derivative of f(x)=(x+1)^2	derivative\:f(x)=(x+1)^{2}
y^{''}+324y=sec(18x)	y^{\prime\:\prime\:}+324y=\sec(18x)
limit as x approaches 18 of (x^2)/2-9/x	\lim\:_{x\to\:18}(\frac{x^{2}}{2}-\frac{9}{x})
y^'=2(3x+y)^2-1	y^{\prime\:}=2(3x+y)^{2}-1
integral from 1 to 2 of (x+2x^2)/x	\int\:_{1}^{2}\frac{x+2x^{2}}{x}dx
sum from n=2 to infinity of 1/(n+1)	\sum\:_{n=2}^{\infty\:}\frac{1}{n+1}
integral of-sin(2x)	\int\:-\sin(2x)dx
integral of (4x)/(x+3)	\int\:\frac{4x}{x+3}dx
integral of sqrt(x(x+1))	\int\:\sqrt{x(x+1)}dx
integral from 1 to 100 of 1/(x^2)	\int\:_{1}^{100}\frac{1}{x^{2}}dx
implicit (dy)/(dx),2x=y^4	implicit\:\frac{dy}{dx},2x=y^{4}
limit as x approaches 0 of x/(-4x^3-8x)	\lim\:_{x\to\:0}(\frac{x}{-4x^{3}-8x})
(\partial}{\partial t}(\frac{(s-3r))/t)	\frac{\partial\:}{\partial\:t}(\frac{(s-3r)}{t})
integral of 2x(x^2+1)^4	\int\:2x(x^{2}+1)^{4}dx
integral of sqrt(1+x^2)x^5	\int\:\sqrt{1+x^{2}}x^{5}dx
taylor 5+xe^{3x}	taylor\:5+xe^{3x}
integral of (2sin(x))/(sqrt(cos^4(x)))	\int\:\frac{2\sin(x)}{\sqrt{\cos^{4}(x)}}dx
(\partial)/(\partial x)(sqrt((m-x)^2+y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{(m-x)^{2}+y^{2}})
limit as x approaches 3 of (4x+8)/(x-5)	\lim\:_{x\to\:3}(\frac{4x+8}{x-5})
tangent of y=e^x,\at x=0	tangent\:y=e^{x},\at\:x=0
derivative of (200/(1+e^{5-x)})	\frac{d}{dx}(\frac{200}{1+e^{5-x}})
integral of (12x)/((x-1)(x^2+2x+3))	\int\:\frac{12x}{(x-1)(x^{2}+2x+3)}dx
slope ofintercept (1.2)(3.3)	slopeintercept\:(1.2)(3.3)
(dP)/(dt)=4sqrt(Pt)	\frac{dP}{dt}=4\sqrt{Pt}
(dv)/(dt)=k\sqrt[3]{v^2},v(0)=27	\frac{dv}{dt}=k\sqrt[3]{v^{2}},v(0)=27
derivative of e^{sin(x}*cos(x))	\frac{d}{dx}(e^{\sin(x)}\cdot\:\cos(x))
integral of xysqrt(x^2+y^2)	\int\:xy\sqrt{x^{2}+y^{2}}dy
tangent of y=x+2/x	tangent\:y=x+\frac{2}{x}
integral from 0 to 4 of x/(sqrt(2x+1))	\int\:_{0}^{4}\frac{x}{\sqrt{2x+1}}dx
limit as x approaches 0+of 5/(x+x^2)	\lim\:_{x\to\:0+}(\frac{5}{x+x^{2}})
derivative of (f(a+h)-f(a-h))/(2h)	derivative\:\frac{f(a+h)-f(a-h)}{2h}
limit as x approaches-1 of \|x-1\|	\lim\:_{x\to\:-1}(\left\|x-1\right\|)
slope of (9,-1),(4,-11)	slope\:(9,-1),(4,-11)
area y=6,y=x^2-3	area\:y=6,y=x^{2}-3
derivative of arctan(x/2+arctan(2/x))	\frac{d}{dx}(\arctan(\frac{x}{2})+\arctan(\frac{2}{x}))
(\partial}{\partial u}(\frac{v^2)/u)	\frac{\partial\:}{\partial\:u}(\frac{v^{2}}{u})
x^3+y^2sqrt(x^4+3)y^'=0,y(0)=0	x^{3}+y^{2}\sqrt{x^{4}+3}y^{\prime\:}=0,y(0)=0
integral of 2x^3-1	\int\:2x^{3}-1dx
inverse oflaplace 1/(s-1(s^2))	inverselaplace\:\frac{1}{s-1(s^{2})}
integral of e^{2ln(x)}	\int\:e^{2\ln(x)}dx
integral of (8x+5)	\int\:(8x+5)dx
integral of x/((5-x^2)^2)	\int\:\frac{x}{(5-x^{2})^{2}}dx
36y^{''}+60y^'+25y=0	36y^{\prime\:\prime\:}+60y^{\prime\:}+25y=0
integral from 1 to e of ln(7x)	\int\:_{1}^{e}\ln(7x)dx
derivative of e^xcos(4x)	\frac{d}{dx}(e^{x}\cos(4x))
integral of ((x^2+24))/(x(x-2)^3)	\int\:\frac{(x^{2}+24)}{x(x-2)^{3}}dx
integral of x/(sqrt(25-(3-x)^2))	\int\:\frac{x}{\sqrt{25-(3-x)^{2}}}dx
limit as x approaches 2 of-x^2+7x-2	\lim\:_{x\to\:2}(-x^{2}+7x-2)
integral of 8x^3sin(1-x^4)	\int\:8x^{3}\sin(1-x^{4})dx
integral of (x^{1.3}+7x^{2.5})	\int\:(x^{1.3}+7x^{2.5})dx
integral from 1 to 5 of (sqrt(24+x^2))/x	\int\:_{1}^{5}\frac{\sqrt{24+x^{2}}}{x}dx
derivative of (ln(x)/(x^8))	\frac{d}{dx}(\frac{\ln(x)}{x^{8}})
(\partial)/(\partial x)((47xy)/(x-y))	\frac{\partial\:}{\partial\:x}(\frac{47xy}{x-y})
derivative of sec(xcsc(x))	\frac{d}{dx}(\sec(x)\csc(x))
area x,1-x,-x/2	area\:x,1-x,-\frac{x}{2}
derivative of f(x)=\sqrt[4]{x}sin(x)	derivative\:f(x)=\sqrt[4]{x}\sin(x)
integral of ln\|x\|sin(x)	\int\:\ln\left\|x\right\|\sin(x)dx
derivative of 9x^3(x^2-2)	derivative\:9x^{3}(x^{2}-2)
derivative of f(x)=((x+1)^2)/(3x-4)	derivative\:f(x)=\frac{(x+1)^{2}}{3x-4}
integral of (3-18x)/(sqrt(4-9x^2))	\int\:\frac{3-18x}{\sqrt{4-9x^{2}}}dx
integral of 1/((1-6x)^4)	\int\:\frac{1}{(1-6x)^{4}}dx
inverse oflaplace ((s+1))/((s^2+s+1))	inverselaplace\:\frac{(s+1)}{(s^{2}+s+1)}
limit as x approaches+4 of 5	\lim\:_{x\to\:+4}(5)
integral from 1 to 2 of (2ln(x))/(x^2)	\int\:_{1}^{2}\frac{2\ln(x)}{x^{2}}dx

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