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Popular Calculus Problems

integral of (3t+3)^{2.2}	\int\:(3t+3)^{2.2}dt
derivative of y=6x-11	derivative\:y=6x-11
integral of (5/x+sec^2(x))	\int\:(\frac{5}{x}+\sec^{2}(x))dx
limit as x approaches 2 of 3.5+5.6	\lim\:_{x\to\:2}(3.5+5.6)
limit as x approaches 2-of (2-\|x\|)/(2+x)	\lim\:_{x\to\:2-}(\frac{2-\left\|x\right\|}{2+x})
derivative of (4x+3)^5	derivative\:(4x+3)^{5}
y^{''}-3y^'-4y=6e^{2t}	y^{\prime\:\prime\:}-3y^{\prime\:}-4y=6e^{2t}
limit as x approaches 0+of (3xe^{2x})/(sin(6x))	\lim\:_{x\to\:0+}(\frac{3xe^{2x}}{\sin(6x)})
limit as x approaches+0 of (1-2x)^{3/x}	\lim\:_{x\to\:+0}((1-2x)^{\frac{3}{x}})
derivative of bx^2(x-4)	\frac{d}{dx}(bx^{2}(x-4))
derivative of (x^2/(x^2+3))	\frac{d}{dx}(\frac{x^{2}}{x^{2}+3})
limit as x approaches 1 of 10x+1	\lim\:_{x\to\:1}(10x+1)
integral of x(x^2+2)^2	\int\:x(x^{2}+2)^{2}dx
inverse oflaplace 4(((1))/(s^2+16))	inverselaplace\:4(\frac{(1)}{s^{2}+16})
area y= 2/x ,y=7-x	area\:y=\frac{2}{x},y=7-x
integral of xsqrt(4-x^2)-x^2(sqrt(3))/3	\int\:x\sqrt{4-x^{2}}-x^{2}\frac{\sqrt{3}}{3}dx
(1+x)^2(dy)/(dx)=(1+y)^2	(1+x)^{2}\frac{dy}{dx}=(1+y)^{2}
derivative of xsqrt(9-x)	derivative\:x\sqrt{9-x}
integral of tan(-6x+3)	\int\:\tan(-6x+3)dx
integral of 8sin^2(xco)s^3x	\int\:8\sin^{2}(xco)s^{3}xdx
f(x)= x/(4x-3ln(x))	f(x)=\frac{x}{4x-3\ln(x)}
derivative of e^{(x/2 ^2})	\frac{d}{dx}(e^{(\frac{x}{2})^{2}})
slope of f(x)=x^2-5	slope\:f(x)=x^{2}-5
derivative of 3cos(x-4sin(x))	\frac{d}{dx}(3\cos(x)-4\sin(x))
limit as x approaches 9 of x^2	\lim\:_{x\to\:9}(x^{2})
integral of cos(t)	\int\:\cos(t)dt
inverse oflaplace (e^{-pis})/(s^2+9)	inverselaplace\:\frac{e^{-πs}}{s^{2}+9}
integral of 1/((x^2-1))	\int\:\frac{1}{(x^{2}-1)}dx
integral of (ln(14x))/(x^5)	\int\:\frac{\ln(14x)}{x^{5}}dx
integral of 1/(t^2-2t+1)	\int\:\frac{1}{t^{2}-2t+1}dt
1/(x^2+y^2)(xdy-ydx)=0	\frac{1}{x^{2}+y^{2}}(xdy-ydx)=0
laplacetransform cos(2(t-(5pi)/4))	laplacetransform\:\cos(2(t-\frac{5π}{4}))
limit as x approaches 2+of \|x-2\|	\lim\:_{x\to\:2+}(\left\|x-2\right\|)
derivative of (1+csc(x^4)/(1-cot(x^4)))	\frac{d}{dx}(\frac{1+\csc(x^{4})}{1-\cot(x^{4})})
(\partial)/(\partial x)((e^{xy})/(x+1))	\frac{\partial\:}{\partial\:x}(\frac{e^{xy}}{x+1})
tangent of y=4ln(x),\at x=4	tangent\:y=4\ln(x),\at\:x=4
integral from 0 to 1 of (x^{4/5})	\int\:_{0}^{1}(x^{\frac{4}{5}})dx
integral of ((1+6ln(x))^{11})/x	\int\:\frac{(1+6\ln(x))^{11}}{x}dx
integral of x^2+2xy+y^2	\int\:x^{2}+2xy+y^{2}dx
(dy)/(dx)= 1/(sqrt(1-x^2))-1/(sqrt(x))	\frac{dy}{dx}=\frac{1}{\sqrt{1-x^{2}}}-\frac{1}{\sqrt{x}}
derivative of x^2+4x+6	derivative\:x^{2}+4x+6
integral of x^2ln(x^2)	\int\:x^{2}\ln(x^{2})dx
laplacetransform 2t^2-t+1	laplacetransform\:2t^{2}-t+1
integral of (5x+4)^2	\int\:(5x+4)^{2}dx
integral of x^3sqrt(9-x^2)	\int\:x^{3}\sqrt{9-x^{2}}dx
integral of (2x^2)/((x-2)^3)	\int\:\frac{2x^{2}}{(x-2)^{3}}dx
integral from-1 to 2 of 3x^2+2x+1	\int\:_{-1}^{2}3x^{2}+2x+1dx
derivative of cos(cos(cos(x)))	derivative\:\cos(\cos(\cos(x)))
tangent of x^4-32x^2+256	tangent\:x^{4}-32x^{2}+256
derivative of (x^3/(18))	\frac{d}{dx}(\frac{x^{3}}{18})
derivative of f(x)=4x(sin(x)+cos(x))	derivative\:f(x)=4x(\sin(x)+\cos(x))
integral of (4x+5)/(sqrt(4x+6))	\int\:\frac{4x+5}{\sqrt{4x+6}}dx
derivative of (e^{-x}/(x^2))	\frac{d}{dx}(\frac{e^{-x}}{x^{2}})
integral of 8t^3(1+t^4)^{10}	\int\:8t^{3}(1+t^{4})^{10}dt
integral of (-1)/(x(ln(x))^2)	\int\:\frac{-1}{x(\ln(x))^{2}}dx
tangent of x^2+y^2=17,(4,-1)	tangent\:x^{2}+y^{2}=17,(4,-1)
integral of \sqrt[3]{2-4x^2}(-8x)	\int\:\sqrt[3]{2-4x^{2}}(-8x)dx
derivative of f(x)=sqrt(x)*e^x	derivative\:f(x)=\sqrt{x}\cdot\:e^{x}
derivative of f(-1)=(5p+4)^{40}	derivative\:f(-1)=(5p+4)^{40}
integral of t/(1-t)	\int\:\frac{t}{1-t}dt
limit as x approaches-3 of-2x-3	\lim\:_{x\to\:-3}(-2x-3)
integral of \sqrt[17]{cot(x)}csc^2(x)	\int\:\sqrt[17]{\cot(x)}\csc^{2}(x)dx
limit as x approaches 0 of (ln(1+x^2))/x	\lim\:_{x\to\:0}(\frac{\ln(1+x^{2})}{x})
(d^2)/(dx^2)((x^2+4)/(x^2-4))	\frac{d^{2}}{dx^{2}}(\frac{x^{2}+4}{x^{2}-4})
derivative of 8x+5	\frac{d}{dx}(8x+5)
integral from 0 to 5.5 of 90x	\int\:_{0}^{5.5}90xdx
derivative of e^{3x+2}	\frac{d}{dx}(e^{3x+2})
integral of (5x^2-10x-8)/(x^3-4x)	\int\:\frac{5x^{2}-10x-8}{x^{3}-4x}dx
integral of 3/((t^2+1)^{3/2)}	\int\:\frac{3}{(t^{2}+1)^{\frac{3}{2}}}dt
(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=4	(x^{2}+1)\frac{dy}{dx}+3x(y-1)=0,y(0)=4
(\partial)/(\partial x)(xcos(yln(x)))	\frac{\partial\:}{\partial\:x}(x\cos(y\ln(x)))
limit as x approaches 0.1 of 1/x	\lim\:_{x\to\:0.1}(\frac{1}{x})
integral of 1/((81-x^2)^{3/2)}	\int\:\frac{1}{(81-x^{2})^{\frac{3}{2}}}dx
integral of cos(x/2)*cos(nx)	\int\:\cos(\frac{x}{2})\cdot\:\cos(nx)dx
integral of t^2e^t	\int\:t^{2}e^{t}dt
sum from n=1 to infinity of (n-1)/n	\sum\:_{n=1}^{\infty\:}\frac{n-1}{n}
integral of 12x^2+6x-4	\int\:12x^{2}+6x-4dx
(\partial)/(\partial x)(ycos(xy)-ysin(xy))	\frac{\partial\:}{\partial\:x}(y\cos(xy)-y\sin(xy))
limit as h approaches 0 of ((sin(pi/6+h)-1/2))/h	\lim\:_{h\to\:0}(\frac{(\sin(\frac{π}{6}+h)-\frac{1}{2})}{h})
derivative of (t+4)^{2/3}(3t^2-2)^3	derivative\:(t+4)^{\frac{2}{3}}(3t^{2}-2)^{3}
limit as x approaches 3 of sqrt(x^2+7)	\lim\:_{x\to\:3}(\sqrt{x^{2}+7})
derivative of log_{2}(8^{x-5})	\frac{d}{dx}(\log_{2}(8^{x-5}))
slope of (-11,-4),(-10,5)	slope\:(-11,-4),(-10,5)
integral of (1/(1+x^2))	\int\:(\frac{1}{1+x^{2}})dx
limit as x approaches 0 of (1+1/x)^x	\lim\:_{x\to\:0}((1+\frac{1}{x})^{x})
(\partial)/(\partial y)(x^3ln(y^5))	\frac{\partial\:}{\partial\:y}(x^{3}\ln(y^{5}))
inverse oflaplace 1/((s+4)^3)	inverselaplace\:\frac{1}{(s+4)^{3}}
x^2(dy)/(dx)-2xy=6y^4	x^{2}\frac{dy}{dx}-2xy=6y^{4}
(dy}{dx}=\frac{-y)/x	\frac{dy}{dx}=\frac{-y}{x}
integral of 6/(sqrt(25-x^2))	\int\:\frac{6}{\sqrt{25-x^{2}}}dx
t^2y^{''}-2ty^'+2y=3t^2-t^3	t^{2}y^{\prime\:\prime\:}-2ty^{\prime\:}+2y=3t^{2}-t^{3}
f(t)=\sqrt[6]{t}-6e^t	f(t)=\sqrt[6]{t}-6e^{t}
integral from 2 to infinity of e^{-7p}	\int\:_{2}^{\infty\:}e^{-7p}dp
limit as x approaches-2 of 4/(x+2)	\lim\:_{x\to\:-2}(\frac{4}{x+2})
derivative of (6x/(sqrt(x^2+4)))	\frac{d}{dx}(\frac{6x}{\sqrt{x^{2}+4}})
integral of sqrt(99-2x-x^2)	\int\:\sqrt{99-2x-x^{2}}dx
(dy)/(dx)= 1/9 sqrt(y)cos^2(sqrt(y))	\frac{dy}{dx}=\frac{1}{9}\sqrt{y}\cos^{2}(\sqrt{y})
(dy)/(dx)=(2x+(sec(x))^2)/(2y)	\frac{dy}{dx}=\frac{2x+(\sec(x))^{2}}{2y}
tangent of 4sin(x),\at x= pi/2	tangent\:4\sin(x),\at\:x=\frac{π}{2}
inverse oflaplace (-1)/(s+2)	inverselaplace\:\frac{-1}{s+2}

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