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Popular Calculus Problems

(\partial)/(\partial u)(u^{1/3}*v^{2/3})	\frac{\partial\:}{\partial\:u}(u^{\frac{1}{3}}\cdot\:v^{\frac{2}{3}})
integral of (1-x)/(x^2+x+1)	\int\:\frac{1-x}{x^{2}+x+1}dx
derivative of 4x^3-5\sqrt[7]{x^6}+pix	derivative\:4x^{3}-5\sqrt[7]{x^{6}}+πx
laplacetransform e^{-4t}cos(3t)	laplacetransform\:e^{-4t}\cos(3t)
f(t)=6cos(t)	f(t)=6\cos(t)
derivative of 18x(x^2+6^8)	\frac{d}{dx}(18x(x^{2}+6)^{8})
integral of x^{1.5}	\int\:x^{1.5}dx
integral from 0 to y of 2	\int\:_{0}^{y}2dx
integral of (x+1)*e^x	\int\:(x+1)\cdot\:e^{x}dx
limit as x approaches infinity of (log_{2}(log_{2}(x)))/(2log_{2)(x)}	\lim\:_{x\to\:\infty\:}(\frac{\log_{2}(\log_{2}(x))}{2\log_{2}(x)})
derivative of 2x^2-4x+1	\frac{d}{dx}(2x^{2}-4x+1)
derivative of sqrt(5-3x)	derivative\:\sqrt{5-3x}
derivative of 6/((1-x^4))	\frac{d}{dx}(\frac{6}{(1-x)^{4}})
limit as x approaches 0 of x-tan(x)	\lim\:_{x\to\:0}(x-\tan(x))
derivative of f(x)=(sqrt(x))/(6+x)	derivative\:f(x)=\frac{\sqrt{x}}{6+x}
derivative of f(x)=sqrt(x)inx	derivative\:f(x)=\sqrt{x}inx
integral of 1/(sqrt(1-x^2))x	\int\:\frac{1}{\sqrt{1-x^{2}}}xdx
derivative of ce^{y/x}	\frac{d}{dx}(ce^{\frac{y}{x}})
(\partial)/(\partial x)(x+y+sqrt(\|x\|^3y^2))	\frac{\partial\:}{\partial\:x}(x+y+\sqrt{\left\|x\right\|^{3}y^{2}})
derivative of 5x^{2pi}	\frac{d}{dx}(5x^{2π})
derivative of ((10-(2))/((x)))*((3+(1))/((x)))	derivative\:(\frac{10-(2)}{(x)})\cdot\:(\frac{3+(1)}{(x)})
(1/(1+e^x))^'	(\frac{1}{1+e^{x}})^{\prime\:}
derivative of-3xsqrt(x+1)	derivative\:-3x\sqrt{x+1}
limit as x approaches pi of (e^{3x}-1)/x	\lim\:_{x\to\:π}(\frac{e^{3x}-1}{x})
(\partial)/(\partial x)(x/(sqrt(x^2+16))*y)	\frac{\partial\:}{\partial\:x}(\frac{x}{\sqrt{x^{2}+16}}\cdot\:y)
derivative of 4sqrt(7x^2+5)	derivative\:4\sqrt{7x^{2}+5}
tangent of x^2+2	tangent\:x^{2}+2
integral from e to infinity of x^2ln(x)	\int\:_{e}^{\infty\:}x^{2}\ln(x)dx
slope of x^2+y^2=24	slope\:x^{2}+y^{2}=24
limit as x approaches a-of f(x)	\lim\:_{x\to\:a-}(f(x))
integral from 0 to 1 of 7(e^{1/x})/(x^3)	\int\:_{0}^{1}7\frac{e^{\frac{1}{x}}}{x^{3}}dx
derivative of sin(x)+1/9 cot(x)	derivative\:\sin(x)+\frac{1}{9}\cot(x)
integral of (2x^5+sqrt(x))/x	\int\:\frac{2x^{5}+\sqrt{x}}{x}dx
integral from-1 to 0 of x	\int\:_{-1}^{0}xdx
(dy)/(dx)=sqrt(7y)e^{x+8}	\frac{dy}{dx}=\sqrt{7y}e^{x+8}
integral from 4 to infinity of e^{-5x}	\int\:_{4}^{\infty\:}e^{-5x}dx
(dy)/(dx)=(e^x)/(1+e^x)	\frac{dy}{dx}=\frac{e^{x}}{1+e^{x}}
y^{''}+8y^'+17y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+8y^{\prime\:}+17y=0,y(0)=1,y^{\prime\:}(0)=0
integral of ((sqrt(x)+2)^8)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+2)^{8}}{2\sqrt{x}}dx
laplacetransform e^{-5}	laplacetransform\:e^{-5}
integral of 3e^{-0.1x}	\int\:3e^{-0.1x}dx
x^2ydx+y(x^3+e^{3y})dy=0	x^{2}ydx+y(x^{3}+e^{3y})dy=0
limit as x approaches 2 of ((7x^5-10x^4-13x+6))/((3x^2-6x-8))	\lim\:_{x\to\:2}(\frac{(7x^{5}-10x^{4}-13x+6)}{(3x^{2}-6x-8)})
derivative of y= 5/((2x)^3)	derivative\:y=\frac{5}{(2x)^{3}}
integral of 1-8/(x^3)	\int\:1-\frac{8}{x^{3}}dx
derivative of (sin(x)/(cos(x)+1))	\frac{d}{dx}(\frac{\sin(x)}{\cos(x)+1})
derivative of (-x/(x^2+a^2))	\frac{d}{dx}(\frac{-x}{x^{2}+a^{2}})
derivative of 3-2x-x^2	\frac{d}{dx}(3-2x-x^{2})
area y=sqrt(2x),y=2x-12,y=0	area\:y=\sqrt{2x},y=2x-12,y=0
(\partial)/(\partial x)(2xz)	\frac{\partial\:}{\partial\:x}(2xz)
integral of 1/(sqrt(-t^2+8t-7))	\int\:\frac{1}{\sqrt{-t^{2}+8t-7}}dt
integral of 3/((x-1)^2)	\int\:\frac{3}{(x-1)^{2}}dx
tangent of y=x^2-x^4(1)	tangent\:y=x^{2}-x^{4}(1)
derivative of 2sqrt(x^3)+2/(sqrt(x^3))	\frac{d}{dx}(2\sqrt{x^{3}}+\frac{2}{\sqrt{x^{3}}})
derivative of y=x^2-8x	derivative\:y=x^{2}-8x
integral of (5+7x)/(1+x^2)	\int\:\frac{5+7x}{1+x^{2}}dx
integral of (x-8)^2	\int\:(x-8)^{2}dx
inverse oflaplace 3/s (1-e^{-s})	inverselaplace\:\frac{3}{s}(1-e^{-s})
integral from 1 to 2 of (3-e^x)	\int\:_{1}^{2}(3-e^{x})dx
y^{''}+4y=e^t(cos(2t)+sin(2t))	y^{\prime\:\prime\:}+4y=e^{t}(\cos(2t)+\sin(2t))
derivative of f(x)=-7x^2	derivative\:f(x)=-7x^{2}
limit as x approaches 0 of (ln(1/x))^x	\lim\:_{x\to\:0}((\ln(\frac{1}{x}))^{x})
integral of (2x+3)^7	\int\:(2x+3)^{7}dx
sum from n=0 to infinity of-2.04258E15	\sum\:_{n=0}^{\infty\:}-2.04258E15
derivative of 3/p	derivative\:\frac{3}{p}
derivative of y= 5/(\sqrt[3]{x)}-6/(2^x)	derivative\:y=\frac{5}{\sqrt[3]{x}}-\frac{6}{2^{x}}
integral of cos((pix^2)/2)	\int\:\cos(\frac{πx^{2}}{2})dx
derivative of ((5x^4-3x^2-4x+6))/((x-7))	derivative\:\frac{(5x^{4}-3x^{2}-4x+6)}{(x-7)}
integral of (sqrt(2x))	\int\:(\sqrt{2x})dx
integral of 2/((2x+4)ln(2x+4))	\int\:\frac{2}{(2x+4)\ln(2x+4)}dx
integral of x^2y+tanh(x)	\int\:x^{2}y+\tanh(x)dy
limit as x approaches 1 of 1-5	\lim\:_{x\to\:1}(1-5)
limit as x approaches infinity of (12)/x	\lim\:_{x\to\:\infty\:}(\frac{12}{x})
d/(dt)(4t^2)	\frac{d}{dt}(4t^{2})
(2xy^2+5y)+(2x^2y+5x)y^'=0	(2xy^{2}+5y)+(2x^{2}y+5x)y^{\prime\:}=0
integral from 0 to pi/2 of ln(sin(x))	\int\:_{0}^{\frac{π}{2}}\ln(\sin(x))dx
derivative of 1/(x-5)	derivative\:\frac{1}{x-5}
derivative of (Ax^2+Bx*sin(x))	\frac{d}{dx}((Ax^{2}+Bx)\cdot\:\sin(x))
sum from n=0 to infinity of (n^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{n^{n}}{n!}
tangent of f(x)=(-2)/(2x-14)	tangent\:f(x)=\frac{-2}{2x-14}
limit as x approaches 1-of 1/(ln(x))	\lim\:_{x\to\:1-}(\frac{1}{\ln(x)})
tangent of y=sqrt(9-6x),\at x=-1	tangent\:y=\sqrt{9-6x},\at\:x=-1
integral of (x^6)/((x-2)^2(1-x)^5)	\int\:\frac{x^{6}}{(x-2)^{2}(1-x)^{5}}dx
derivative of (2x^2/(x^2-x))	\frac{d}{dx}(\frac{2x^{2}}{x^{2}-x})
limit as x approaches 4-of (-1)/(x-4)	\lim\:_{x\to\:4-}(\frac{-1}{x-4})
(\partial)/(\partial x)((2xy^2)/(2+x^2y^2))	\frac{\partial\:}{\partial\:x}(\frac{2xy^{2}}{2+x^{2}y^{2}})
limit as x approaches-4 of 25	\lim\:_{x\to\:-4}(25)
2y^{''}+7y^'-4y=0	2y^{\prime\:\prime\:}+7y^{\prime\:}-4y=0
6y^'-2y=x(y^4),y(0)=-2	6y^{\prime\:}-2y=x(y^{4}),y(0)=-2
y^'-y^{(5/3)}=0	y^{\prime\:}-y^{(\frac{5}{3})}=0
taylor (x^2)/(x^4+16)	taylor\:\frac{x^{2}}{x^{4}+16}
(\partial)/(\partial x)(y^8+2x^6+2xy)	\frac{\partial\:}{\partial\:x}(y^{8}+2x^{6}+2xy)
derivative of f(x)=2x^3-5x^2+3x-7	derivative\:f(x)=2x^{3}-5x^{2}+3x-7
derivative of 3+5cos(3t)	derivative\:3+5\cos(3t)
limit as x approaches 6 of ln(7-x)	\lim\:_{x\to\:6}(\ln(7-x))
(\partial)/(\partial x)(e^xtan(y))	\frac{\partial\:}{\partial\:x}(e^{x}\tan(y))
derivative of x^3-5x^2	derivative\:x^{3}-5x^{2}
derivative of sqrt(4x^2)	\frac{d}{dx}(\sqrt{4x^{2}})
y^'=13ty-8t	y^{\prime\:}=13ty-8t
simplify (x-4)^3e^{-4x}	simplify\:(x-4)^{3}e^{-4x}

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