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Popular Calculus Problems

integral of-4x(-2x^2+2)^5	\int\:-4x(-2x^{2}+2)^{5}dx
derivative of y=(e^{8x})/(e^{8x)+1}	derivative\:y=\frac{e^{8x}}{e^{8x}+1}
inverse oflaplace (50)/(100+0.01s)	inverselaplace\:\frac{50}{100+0.01s}
limit as x approaches 0 of 1/((x+1)^2)	\lim\:_{x\to\:0}(\frac{1}{(x+1)^{2}})
(e^{x^2+1})^'	(e^{x^{2}+1})^{\prime\:}
simplify x^3os(x)	simplify\:x^{3}os(x)
derivative of 11sin(t)+14cos(t)	derivative\:11\sin(t)+14\cos(t)
derivative of x^2+4x+12y-8	\frac{d}{dx}(x^{2}+4x+12y-8)
(\partial)/(\partial x)(x^2y^2+4x^2-3xy)	\frac{\partial\:}{\partial\:x}(x^{2}y^{2}+4x^{2}-3xy)
f^{''}(x)=acos(2x)+bsin(2x)	f^{\prime\:\prime\:}(x)=a\cos(2x)+b\sin(2x)
sum from n=1 to infinity of 3(1/4)^{n-1}	\sum\:_{n=1}^{\infty\:}3(\frac{1}{4})^{n-1}
integral of ((x^3))/((1+x^2))	\int\:\frac{(x^{3})}{(1+x^{2})}dx
derivative of f(-x)= x/(x^2+1)	derivative\:f(-x)=\frac{x}{x^{2}+1}
integral of 1/(sqrt(x^2-361))	\int\:\frac{1}{\sqrt{x^{2}-361}}dx
limit as x approaches 0 of x/(-3x^3+2)	\lim\:_{x\to\:0}(\frac{x}{-3x^{3}+2})
integral of (sqrt(x^3)+\sqrt[3]{x^2})	\int\:(\sqrt{x^{3}}+\sqrt[3]{x^{2}})dx
integral of ((ln(x))^{15})/x	\int\:\frac{(\ln(x))^{15}}{x}dx
derivative of y=x^3-2x^2+5	derivative\:y=x^{3}-2x^{2}+5
limit as n approaches infinity of \sum_{k=1}^n(4+(3k)/n)^2(3/n)	\lim\:_{n\to\:\infty\:}(\sum\:_{k=1}^{n}(4+\frac{3k}{n})^{2}(\frac{3}{n}))
tangent of 12-4e^x	tangent\:12-4e^{x}
(\partial)/(\partial x)(x^{x^2y})	\frac{\partial\:}{\partial\:x}(x^{x^{2}y})
integral of (5x+3)/(x^2+4)	\int\:\frac{5x+3}{x^{2}+4}dx
integral of cos^0(x)	\int\:\cos^{0}(x)dx
derivative of (x-2^3e^{3x})	\frac{d}{dx}((x-2)^{3}e^{3x})
(\partial)/(\partial z)(6xysin(z))	\frac{\partial\:}{\partial\:z}(6xy\sin(z))
area-4/3 (x+1),2,5,0	area\:-\frac{4}{3}(x+1),2,5,0
integral of 3sec(x)(tan(x)-sec(x))	\int\:3\sec(x)(\tan(x)-\sec(x))dx
derivative of g(t)=3t+5	derivative\:g(t)=3t+5
derivative of f(x)= 6/(5x+2)	derivative\:f(x)=\frac{6}{5x+2}
integral of 1/(9x+5)	\int\:\frac{1}{9x+5}dx
(\partial)/(\partial x)(ax)	\frac{\partial\:}{\partial\:x}(ax)
derivative of 4\|x+3\|-5	derivative\:4\left\|x+3\right\|-5
f(x)=xe^{2x}	f(x)=xe^{2x}
limit as x approaches 1 of x^3-4x+1	\lim\:_{x\to\:1}(x^{3}-4x+1)
integral of (x^3)/(\sqrt[9]{x^2+3)}	\int\:\frac{x^{3}}{\sqrt[9]{x^{2}+3}}dx
limit as x approaches 0 of (x+5)e^{1/x}	\lim\:_{x\to\:0}((x+5)e^{\frac{1}{x}})
derivative of x/(\sqrt[3]{x^2+4)}	derivative\:\frac{x}{\sqrt[3]{x^{2}+4}}
derivative of (5x^2+3sqrt(x))/(2x)	derivative\:\frac{5x^{2}+3\sqrt{x}}{2x}
tangent of y=(x^3-25x)^{14},(-5,0)	tangent\:y=(x^{3}-25x)^{14},(-5,0)
sum from n=0 to infinity of 1/((n+1))	\sum\:_{n=0}^{\infty\:}\frac{1}{(n+1)}
sum from n=1 to infinity of (n!)/(n7^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{n7^{n}}
derivative of sqrt(x)-6\sqrt[3]{x}	derivative\:\sqrt{x}-6\sqrt[3]{x}
tangent of f(x)=2cos(3x),\at x= pi/2	tangent\:f(x)=2\cos(3x),\at\:x=\frac{π}{2}
tangent of y= 1/2 x^2,(-1,-1)	tangent\:y=\frac{1}{2}x^{2},(-1,-1)
(dy)/(dt)+3y=1	\frac{dy}{dt}+3y=1
integral from 0 to 2 of 4x^7	\int\:_{0}^{2}4x^{7}dx
derivative of 7^{9x}	derivative\:7^{9x}
derivative of \sqrt[5]{r}	derivative\:\sqrt[5]{r}
integral of (4/(cos^2(x))-5/(sin^2(x)))	\int\:(\frac{4}{\cos^{2}(x)}-\frac{5}{\sin^{2}(x)})dx
derivative of (1/(y^2)-2/(y^4))(y+8y^3)	derivative\:(\frac{1}{y^{2}}-\frac{2}{y^{4}})(y+8y^{3})
integral from-2 to 3 of (35)/(x^4)	\int\:_{-2}^{3}\frac{35}{x^{4}}dx
(dy)/(dx)=e^{2x}+7y	\frac{dy}{dx}=e^{2x}+7y
tangent of y=2x^3-x^2+9,(2,21)	tangent\:y=2x^{3}-x^{2}+9,(2,21)
integral of 1/(sqrt(x)-4)	\int\:\frac{1}{\sqrt{x}-4}dx
(\partial)/(\partial y)(x^2e^{5xy})	\frac{\partial\:}{\partial\:y}(x^{2}e^{5xy})
area y=-x^2-2x+3,y=x^2-1	area\:y=-x^{2}-2x+3,y=x^{2}-1
derivative of-2(4e^{-x^2}x^3-6e^{-x^2}x)	derivative\:-2(4e^{-x^{2}}x^{3}-6e^{-x^{2}}x)
derivative of ln^2(2x)	derivative\:\ln^{2}(2x)
limit as x approaches 1 of (\|x-1\|)/(1-x)	\lim\:_{x\to\:1}(\frac{\left\|x-1\right\|}{1-x})
simplify (x^2+4x+3)/(sqrt(x))	simplify\:\frac{x^{2}+4x+3}{\sqrt{x}}
integral of 1/(36e^{-9x)+e^{9x}}	\int\:\frac{1}{36e^{-9x}+e^{9x}}dx
(\partial)/(\partial y)(x-sqrt(y))	\frac{\partial\:}{\partial\:y}(x-\sqrt{y})
tangent of f(x)= 2/(5x+3),\at x=-1	tangent\:f(x)=\frac{2}{5x+3},\at\:x=-1
integral of x^2-5	\int\:x^{2}-5dx
derivative of (54)/(x^4)	derivative\:\frac{54}{x^{4}}
laplacetransform e^{-t+7}	laplacetransform\:e^{-t+7}
x^{''}+1/4 x^'+2x=0	x^{\prime\:\prime\:}+\frac{1}{4}x^{\prime\:}+2x=0
inverse oflaplace (-5s+0.02)/(s^2)	inverselaplace\:\frac{-5s+0.02}{s^{2}}
y^'-2xy=e^{x^2}	y^{\prime\:}-2\cdot\:x\cdot\:y=e^{x^{2}}
sum from n=0 to infinity of 4^{1/(2^n)}	\sum\:_{n=0}^{\infty\:}4^{\frac{1}{2^{n}}}
area y= 1/x ,y= 1/(x^2),y=4	area\:y=\frac{1}{x},y=\frac{1}{x^{2}},y=4
limit as x approaches+pi/2 of sec^2(x)	\lim\:_{x\to\:+\frac{π}{2}}(\sec^{2}(x))
derivative of 3x^2+(16x)/3-2	derivative\:3x^{2}+\frac{16x}{3}-2
derivative of f(x)= x/(x^2+3)	derivative\:f(x)=\frac{x}{x^{2}+3}
maclaurin ((z-2))/(z-1)	maclaurin\:\frac{(z-2)}{z-1}
derivative of y=sqrt(5-2t)	derivative\:y=\sqrt{5-2t}
integral from 0 to 1 of (x-1)^3-(x-1)	\int\:_{0}^{1}(x-1)^{3}-(x-1)dx
inverse oflaplace 1/(s*(s^2+9/2 s+15))	inverselaplace\:\frac{1}{s\cdot\:(s^{2}+\frac{9}{2}s+15)}
integral of 2-1(e-x+2)	\int\:2-1(e-x+2)dx
derivative of f(x)=3+2x^3	derivative\:f(x)=3+2x^{3}
(\partial)/(\partial x)(2^{4x}+4x^2)	\frac{\partial\:}{\partial\:x}(2^{4x}+4x^{2})
tangent of x^2-xy+2y-2=0	tangent\:x^{2}-xy+2y-2=0
integral of angcos(x)	\int\:ang\cos(x)dx
derivative of (13)/(x+1)	derivative\:\frac{13}{x+1}
integral of x^6sqrt(x^7+9)	\int\:x^{6}\sqrt{x^{7}+9}dx
derivative of ln(x^3sin^2(x))	derivative\:\ln(x^{3}\sin^{2}(x))
integral from-infinity to 2 of 2/(x^2+4)	\int\:_{-\infty\:}^{2}\frac{2}{x^{2}+4}dx
tangent of f(x)=2x-x^2	tangent\:f(x)=2x-x^{2}
integral of cos(x)sin^5(x)	\int\:\cos(x)\sin^{5}(x)dx
area 3-x,-4<= x<= 2	area\:3-x,-4\le\:x\le\:2
derivative of (1-x^2^{1/3})	\frac{d}{dx}((1-x^{2})^{\frac{1}{3}})
derivative of 2/(x^7)	derivative\:\frac{2}{x^{7}}
taylor e^{(-x)/2}	taylor\:e^{\frac{-x}{2}}
(\partial)/(\partial x)(x^2+sin(y)-0.4)	\frac{\partial\:}{\partial\:x}(x^{2}+\sin(y)-0.4)
(2xe^x-y+6x^2)dx-xdy=0	(2xe^{x}-y+6x^{2})dx-xdy=0
slope of (7,-1),(0,-6)	slope\:(7,-1),(0,-6)
integral of 1/(x-2)	\int\:\frac{1}{x-2}dx
integral of 5/(usqrt(u^2-1))	\int\:\frac{5}{u\sqrt{u^{2}-1}}du
derivative of f(t)= 9/(sqrt(t))	derivative\:f(t)=\frac{9}{\sqrt{t}}
derivative of (x-5/(x^2+1))	\frac{d}{dx}(\frac{x-5}{x^{2}+1})

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