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Popular Calculus Problems

derivative of 1936-16t^2	derivative\:1936-16t^{2}
derivative of x/(x-5)	derivative\:\frac{x}{x-5}
slope of (3.2)(5.6)	slope\:(3.2)(5.6)
derivative of y=(x-2)(2x+3)	derivative\:y=(x-2)(2x+3)
derivative of sqrt(12-x)	\frac{d}{dx}(\sqrt{12-x})
limit as x approaches infinity of (x^3)/(1e^{x/2)}	\lim\:_{x\to\:\infty\:}(\frac{x^{3}}{1e^{\frac{x}{2}}})
integral of 2x^3sqrt(x^4+2)	\int\:2x^{3}\sqrt{x^{4}+2}dx
derivative of 3*2	derivative\:3\cdot\:2
area-4x^2+9,x+7,x=0	area\:-4x^{2}+9,x+7,x=0
derivative of ln(6x-1)	derivative\:\ln(6x-1)
(dy)/(dx)=(6y^2)/(x^2)	\frac{dy}{dx}=\frac{6y^{2}}{x^{2}}
area x=8y^2,x=1+7y^2	area\:x=8y^{2},x=1+7y^{2}
limit as x approaches 1-of e^{3/((1-x))}	\lim\:_{x\to\:1-}(e^{\frac{3}{(1-x)}})
integral from 0 to 1 of (6x-9x^2)5x	\int\:_{0}^{1}(6x-9x^{2})5xdx
-3y^'+(2y)/x =x^2y^4	-3y^{\prime\:}+\frac{2y}{x}=x^{2}y^{4}
derivative of (3x^2-x+1/x)	\frac{d}{dx}(\frac{3x^{2}-x+1}{x})
(e^{2x}-x^2-1)^'	(e^{2x}-x^{2}-1)^{\prime\:}
integral from-1 to 2 of x^2+1	\int\:_{-1}^{2}x^{2}+1dx
integral of usqrt(1-u^2)	\int\:u\sqrt{1-u^{2}}du
integral of x*e^{-2x}	\int\:x\cdot\:e^{-2x}dx
derivative of 1/(10sqrt(x))	\frac{d}{dx}(\frac{1}{10\sqrt{x}})
area 14-x^2,x^2-4	area\:14-x^{2},x^{2}-4
derivative of ((sqrt(x)-5))/(sqrt(x)+5)	derivative\:\frac{(\sqrt{x}-5)}{\sqrt{x}+5}
limit as x approaches 1 of (3x)/(x-1)-3/(ln(x))	\lim\:_{x\to\:1}(\frac{3x}{x-1}-\frac{3}{\ln(x)})
derivative of (sin(6x)/(e^{3x)})	\frac{d}{dx}(\frac{\sin(6x)}{e^{3x}})
derivative of f(x)=3x^2e^x+e^x(x^3+5)	derivative\:f(x)=3x^{2}e^{x}+e^{x}(x^{3}+5)
1/3 (dx)/(dt)-2e^{-t}=-x	\frac{1}{3}\frac{dx}{dt}-2e^{-t}=-x
integral from ln(8) to ln(64) of e^{x/3}	\int\:_{\ln(8)}^{\ln(64)}e^{\frac{x}{3}}dx
limit as x approaches 0+of x-sqrt(x)	\lim\:_{x\to\:0+}(x-\sqrt{x})
integral of sqrt(x)+1/(2sqrt(x))	\int\:\sqrt{x}+\frac{1}{2\sqrt{x}}dx
(dy)/(dx)=(x-5)e^{-2y}	\frac{dy}{dx}=(x-5)e^{-2y}
limit as x approaches 2 of (x^2+3)/(1/x)	\lim\:_{x\to\:2}(\frac{x^{2}+3}{\frac{1}{x}})
(dy)/(dt)=(te^t)/(ysqrt(4+y^2))	\frac{dy}{dt}=\frac{te^{t}}{y\sqrt{4+y^{2}}}
f(x)=(e^x+1)/(e^x-1)	f(x)=\frac{e^{x}+1}{e^{x}-1}
integral of xsin(8-x)	\int\:x\sin(8-x)dx
limit as x approaches 0 of (2-2)/2	\lim\:_{x\to\:0}(\frac{2-2}{2})
integral from 0 to 3 of xsin(3-x)	\int\:_{0}^{3}x\sin(3-x)dx
derivative of 2+x^2+x	\frac{d}{dx}(2+x^{2}+x)
area y=4x-x^2,y=x,x=3	area\:y=4x-x^{2},y=x,x=3
limit as x approaches infinity of 0/3	\lim\:_{x\to\:\infty\:}(\frac{0}{3})
derivative of f(x)=(sqrt(x))/(x^3+1)	derivative\:f(x)=\frac{\sqrt{x}}{x^{3}+1}
integral of 3/(sqrt(x^2+16))	\int\:\frac{3}{\sqrt{x^{2}+16}}dx
integral of 5x^{-4}	\int\:5x^{-4}dx
tangent of f(x)= 3/x ,\at x=6	tangent\:f(x)=\frac{3}{x},\at\:x=6
derivative of 5ln(cos(x))	\frac{d}{dx}(5\ln(\cos(x)))
limit as x approaches 0 of 2((a^x-1)/x)	\lim\:_{x\to\:0}(2(\frac{a^{x}-1}{x}))
integral from 1 to 12 of 1/(x-10)	\int\:_{1}^{12}\frac{1}{x-10}dx
(\partial)/(\partial x)((e^x)/(x^2+10))	\frac{\partial\:}{\partial\:x}(\frac{e^{x}}{x^{2}+10})
sum from n=0 to infinity of (2n+1)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{2n+1}{n!}
derivative of-2e^{x+2}+e^{-5}	derivative\:-2e^{x+2}+e^{-5}
y^'=(4x^5e^{y/x}+x^3y^2)/(x^4y)	y^{\prime\:}=\frac{4x^{5}e^{\frac{y}{x}}+x^{3}y^{2}}{x^{4}y}
integral of e^{2x}cos(x)	\int\:e^{2x}\cos(x)dx
derivative of sin^n(xcos(n)x)	\frac{d}{dx}(\sin^{n}(x)\cos(n)x)
(d^2)/(dx^2)(x/(1+x^2))	\frac{d^{2}}{dx^{2}}(\frac{x}{1+x^{2}})
maclaurin (x+3)(-2n(6n-1)(-2x)^{n-1})	maclaurin\:(x+3)(-2n(6n-1)(-2x)^{n-1})
inverse oflaplace (s^2)/(s^2+6s+34)	inverselaplace\:\frac{s^{2}}{s^{2}+6s+34}
derivative of (sqrt(x)-3/(sqrt(x)+1))	\frac{d}{dx}(\frac{\sqrt{x}-3}{\sqrt{x}+1})
tangent of f(x)= 1/(x^3),(1,1)	tangent\:f(x)=\frac{1}{x^{3}},(1,1)
integral of sin^2(10x)	\int\:\sin^{2}(10x)dx
integral of (x+3)(2x-1)	\int\:(x+3)(2x-1)dx
derivative of 3x^2-7	\frac{d}{dx}(3x^{2}-7)
integral of x*(4-x^2)^{-2/3}	\int\:x\cdot\:(4-x^{2})^{-\frac{2}{3}}dx
integral of sec^2(x)+8	\int\:\sec^{2}(x)+8dx
integral of-\|x\|	\int\:-\left\|x\right\|dx
derivative of (4x^5-15/(x^4))	\frac{d}{dx}(\frac{4x^{5}-15}{x^{4}})
y^'=-y/3	y^{\prime\:}=-\frac{y}{3}
derivative of 1/(1+x^3)	\frac{d}{dx}(\frac{1}{1+x^{3}})
integral of (x^2-x+24)/(x^3+6x)	\int\:\frac{x^{2}-x+24}{x^{3}+6x}dx
tangent of y=x-3x^2,(3,-24)	tangent\:y=x-3x^{2},(3,-24)
(\partial)/(\partial x)(3x^2y^4-2)	\frac{\partial\:}{\partial\:x}(3x^{2}y^{4}-2)
integral of (5x-7)e^{5x-7}	\int\:(5x-7)e^{5x-7}dx
derivative of (2+3x/(x^2))	\frac{d}{dx}(\frac{2+3x}{x^{2}})
integral of sin^{18}(x)cos^3(x)	\int\:\sin^{18}(x)\cos^{3}(x)dx
derivative of g(x)=4x^2(x^3+5x)	derivative\:g(x)=4x^{2}(x^{3}+5x)
integral of (-8sec(x)tan(x)+5sec^2(x))	\int\:(-8\sec(x)\tan(x)+5\sec^{2}(x))dx
derivative of (2-7x^{3/2}^2)	\frac{d}{dx}((2-7x^{\frac{3}{2}})^{2})
y^'+e^xy=1	y^{\prime\:}+e^{x}y=1
2x^{''}+4x^'+8x=0,x(0)=0,x^'(0)=1	2x^{\prime\:\prime\:}+4x^{\prime\:}+8x=0,x(0)=0,x^{\prime\:}(0)=1
d/(dθ)(e^{-iθ})	\frac{d}{dθ}(e^{-iθ})
(\partial)/(\partial x)(ln(tan(x/2)))	\frac{\partial\:}{\partial\:x}(\ln(\tan(\frac{x}{2})))
integral of (1-x^2)/(sqrt(x))	\int\:\frac{1-x^{2}}{\sqrt{x}}dx
limit as x approaches 0+of cos(x)	\lim\:_{x\to\:0+}(\cos(x))
y^{''}+0.2x^2-0.35x=0	y^{\prime\:\prime\:}+0.2x^{2}-0.35x=0
sum from n=1 to infinity of 1/(2^{3n)}	\sum\:_{n=1}^{\infty\:}\frac{1}{2^{3n}}
derivative of ycos(x)	\frac{d}{dx}(y\cos(x))
derivative of cos(3x^2+4)*6x	derivative\:\cos(3x^{2}+4)\cdot\:6x
integral of 1/(3x^2+6x+6)	\int\:\frac{1}{3x^{2}+6x+6}dx
area sin(x),x=0,y=0,x= pi/6	area\:\sin(x),x=0,y=0,x=\frac{π}{6}
y^{''}+4y^'+4y=x*cos(2x)+3e^{-2x}	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=x\cdot\:\cos(2x)+3e^{-2x}
(dx)/(dt)+3x=e^{-2t}	\frac{dx}{dt}+3x=e^{-2t}
limit as x approaches 0-of (1+x)^{1/x}	\lim\:_{x\to\:0-}((1+x)^{\frac{1}{x}})
derivative of f(x)=(4x-x^2)^3	derivative\:f(x)=(4x-x^{2})^{3}
area e^x,x^2-1,-1.14776,2	area\:e^{x},x^{2}-1,-1.14776,2
integral of (6x+15)/(2x+1)	\int\:\frac{6x+15}{2x+1}dx
integral from x to infinity of e^{-y}	\int\:_{x}^{\infty\:}e^{-y}dy
(dy)/(dx)=(xy+2x-y-2)/(xy-5x+6y-30)	\frac{dy}{dx}=\frac{xy+2x-y-2}{xy-5x+6y-30}
integral of 1/(\sqrt[4]{1+x)}	\int\:\frac{1}{\sqrt[4]{1+x}}dx
d/(da)(blog_{10}(y/x+(0.6x)/(sqrt(a))))	\frac{d}{da}(b\log_{10}(\frac{y}{x}+\frac{0.6x}{\sqrt{a}}))
area y=x^{4/3},y=2x^{1/3}	area\:y=x^{\frac{4}{3}},y=2x^{\frac{1}{3}}
integral of x/6	\int\:\frac{x}{6}dx

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