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Popular Calculus Problems

integral of (3x^2+2x+4)/(x^3+4x)	\int\:\frac{3x^{2}+2x+4}{x^{3}+4x}dx
(dr)/(dθ)+rtan(θ)=3tan(θ)	\frac{dr}{dθ}+r\tan(θ)=3\tan(θ)
derivative of e^5+ln(7)	derivative\:e^{5}+\ln(7)
integral of 1/(sqrt(3x+4))	\int\:\frac{1}{\sqrt{3x+4}}dx
y^'+xy=a	y^{\prime\:}+xy=a
derivative of-3x^5	\frac{d}{dx}(-3x^{5})
d/(dy)(ln(x^4+y^4))	\frac{d}{dy}(\ln(x^{4}+y^{4}))
(\partial)/(\partial w)({u}(v,w)+ve^w)	\frac{\partial\:}{\partial\:w}({u}(v,w)+ve^{w})
derivative of (x^3)/3+1/(4x)	derivative\:\frac{x^{3}}{3}+\frac{1}{4x}
derivative of f(x)= 2/(5x^2)	derivative\:f(x)=\frac{2}{5x^{2}}
(\partial)/(\partial x)(((1+x))/(1+y)z^2)	\frac{\partial\:}{\partial\:x}(\frac{(1+x)}{1+y}z^{2})
y^{''}-2y^'-35y=0	y^{\prime\:\prime\:}-2y^{\prime\:}-35y=0
integral of (x^2)/(sqrt(16+x^6))	\int\:\frac{x^{2}}{\sqrt{16+x^{6}}}dx
integral of ((1+x^2)^{1/2})/x	\int\:\frac{(1+x^{2})^{\frac{1}{2}}}{x}dx
limit as x approaches+pi of xcos((7x)/6)	\lim\:_{x\to\:+π}(x\cos(\frac{7x}{6}))
integral of 2xyze^{x^2}	\int\:2xyze^{x^{2}}dx
integral of 4/(1+t^2)	\int\:\frac{4}{1+t^{2}}dt
derivative of (x^2/(3x^2-2x+1))	\frac{d}{dx}(\frac{x^{2}}{3x^{2}-2x+1})
integral of (sqrt(y))	\int\:(\sqrt{y})dy
f(x)=e^{x/3}	f(x)=e^{\frac{x}{3}}
y^{''}-8y^'+25y=0	y^{\prime\:\prime\:}-8y^{\prime\:}+25y=0
derivative of (2x^2/(x^2-1))	\frac{d}{dx}(\frac{2x^{2}}{x^{2}-1})
derivative of (3x^2-5^3)	\frac{d}{dx}((3x^{2}-5)^{3})
derivative of (x+8^{2/3})	\frac{d}{dx}((x+8)^{\frac{2}{3}})
integral of (3(x+1)+4)/(x(2x+7)+3)	\int\:\frac{3(x+1)+4}{x(2x+7)+3}dx
limit as x approaches 0 of ((x^2-3x))/x	\lim\:_{x\to\:0}(\frac{(x^{2}-3x)}{x})
y^'-5yx^4=0	y^{\prime\:}-5yx^{4}=0
integral of a^2	\int\:a^{2}
integral of (x^2sin(x^3))	\int\:(x^{2}\sin(x^{3}))dx
integral of (x^3-1)/(x+2)	\int\:\frac{x^{3}-1}{x+2}dx
derivative of sqrt(sin(5x))	\frac{d}{dx}(\sqrt{\sin(5x)})
limit as x approaches-2 of 4x^{2-5x+2}	\lim\:_{x\to\:-2}(4x^{2-5x+2})
tangent of f(x)=1+2e^x,\at x=1	tangent\:f(x)=1+2e^{x},\at\:x=1
integral of 4xln(x^{11})	\int\:4x\ln(x^{11})dx
slope of (-7,-2),(-6,7)	slope\:(-7,-2),(-6,7)
derivative of ((x+2(2x+4))/(-x^2-x-2))	\frac{d}{dx}(\frac{(x+2)(2x+4)}{-x^{2}-x-2})
derivative of sqrt(r^2-15x^2)	derivative\:\sqrt{r^{2}-15x^{2}}
derivative of log_{7}(xe^x)	derivative\:\log_{7}(xe^{x})
derivative of (7x/(sqrt(x^2+5)))	\frac{d}{dx}(\frac{7x}{\sqrt{x^{2}+5}})
integral of e^xsin(2x)	\int\:e^{x}\sin(2x)dx
integral of (x(x-2)^2)/(x^4+1)	\int\:\frac{x(x-2)^{2}}{x^{4}+1}dx
integral of (cos^2(x))/(cos(x))	\int\:\frac{\cos^{2}(x)}{\cos(x)}dx
f^'(x)=(x^2)/(x+1)	f^{\prime\:}(x)=\frac{x^{2}}{x+1}
slope of (-4,1),(-7,-5)	slope\:(-4,1),(-7,-5)
derivative of (x-1/(x^2)^5)	\frac{d}{dx}((x-\frac{1}{x^{2}})^{5})
xy+(dy)/(dx)=120x	xy+\frac{dy}{dx}=120x
integral of ln(6-3x)	\int\:\ln(6-3x)dx
2y^{''}-5y^'+6y=0	2y^{\prime\:\prime\:}-5y^{\prime\:}+6y=0
derivative of cos(pi/2 x)	derivative\:\cos(\frac{π}{2}x)
inverse oflaplace (e^{-s}+s)/(s^2+s)	inverselaplace\:\frac{e^{-s}+s}{s^{2}+s}
derivative of (2(3x^2+1)/((1-x^2)^3))	\frac{d}{dx}(\frac{2(3x^{2}+1)}{(1-x^{2})^{3}})
integral from-a to a of integral from 0 to 1 of sin(y)e^{x^2}	\int\:_{-a}^{a}\int\:_{0}^{1}\sin(y)e^{x^{2}}dxdy
f(x)=xsqrt(1-x^2)	f(x)=x\sqrt{1-x^{2}}
integral from 1 to 8 of 1/(sqrt(3x+1))	\int\:_{1}^{8}\frac{1}{\sqrt{3x+1}}dx
limit as x approaches-1 of 1/(sqrt(x+1))	\lim\:_{x\to\:-1}(\frac{1}{\sqrt{x+1}})
y^{''}-y^'+4y=2sin(2t)	y^{\prime\:\prime\:}-y^{\prime\:}+4y=2\sin(2t)
derivative of 3x*ln(1/(x^2))	derivative\:3x\cdot\:\ln(\frac{1}{x^{2}})
integral from 4 to infinity of xe^{-5x}	\int\:_{4}^{\infty\:}xe^{-5x}dx
(y^2+xy^2)(dy)/(dx)=1	(y^{2}+xy^{2})\frac{dy}{dx}=1
limit as x approaches-1 of (4x^2+1)/x	\lim\:_{x\to\:-1}(\frac{4x^{2}+1}{x})
integral of-x*e^{-x}	\int\:-x\cdot\:e^{-x}dx
integral of (e^{2x}+2e^x)/(e^{2x)-8}	\int\:\frac{e^{2x}+2e^{x}}{e^{2x}-8}dx
y^'-y=5x-5,y(0)=9	y^{\prime\:}-y=5x-5,y(0)=9
integral of (sin(x))/((1+cos(x))^2)	\int\:\frac{\sin(x)}{(1+\cos(x))^{2}}dx
integral from-3 to 3 of x(9-x^2)	\int\:_{-3}^{3}x(9-x^{2})dx
derivative of 4e^{2x-1}	derivative\:4e^{2x-1}
integral of 5x^3(x-1)^{-4}	\int\:5x^{3}(x-1)^{-4}dx
sum from n=1 to infinity of 1/(n^6)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{6}}
(x+2)^2y^'=5-8y-4xy	(x+2)^{2}y^{\prime\:}=5-8y-4xy
(dy)/(dx)+y/(x^2)= 1/(x^2)	\frac{dy}{dx}+\frac{y}{x^{2}}=\frac{1}{x^{2}}
derivative of x^{x^{x^x}}	\frac{d}{dx}(x^{x^{x^{x}}})
y^{''}+26y=0	y^{\prime\:\prime\:}+26y=0
integral of (1+3x)e^{3x}	\int\:(1+3x)e^{3x}dx
derivative of arccos(xy)	\frac{d}{dx}(\arccos(xy))
derivative of \sqrt[5]{(3x^2+5x(1-x)^2})	\frac{d}{dx}(\sqrt[5]{(3x^{2}+5x)(1-x)^{2}})
derivative of 3/(x^3-4/(x^2))	\frac{d}{dx}(\frac{3}{x^{3}}-\frac{4}{x^{2}})
derivative of x^5e^{7x}	\frac{d}{dx}(x^{5}e^{7x})
limit as x approaches 1 of (x-1)^{3x-3}	\lim\:_{x\to\:1}((x-1)^{3x-3})
limit as x approaches 2 of xsqrt(13-x^2)	\lim\:_{x\to\:2}(x\sqrt{13-x^{2}})
derivative of xcos(x^3)	\frac{d}{dx}(x\cos(x^{3}))
derivative of (5x^6/2+(12)/(7x^5)-x)	\frac{d}{dx}(\frac{5x^{6}}{2}+\frac{12}{7x^{5}}-x)
integral of (4x)/(x-8)	\int\:\frac{4x}{x-8}dx
limit as x approaches 0 of arcsin(1+2x)	\lim\:_{x\to\:0}(\arcsin(1+2x))
integral from 1 to 5 of 7/(x^2)	\int\:_{1}^{5}\frac{7}{x^{2}}dx
derivative of (5x+8^3)	\frac{d}{dx}((5x+8)^{3})
derivative of ((x-7/(x+2))^2)	\frac{d}{dx}((\frac{x-7}{x+2})^{2})
taylor x^{1/3},1000	taylor\:x^{\frac{1}{3}},1000
derivative of y=(x^x+1)^2	derivative\:y=(x^{x}+1)^{2}
integral of 3x^2(x^3+5)^7	\int\:3x^{2}(x^{3}+5)^{7}dx
integral of (x-5)/((x+4)(x+3)^2)	\int\:\frac{x-5}{(x+4)(x+3)^{2}}dx
integral from 0 to 1 of (3x+1)^5	\int\:_{0}^{1}(3x+1)^{5}dx
derivative of x^2cos(2x)	derivative\:x^{2}\cos(2x)
tangent of e^x(-8-3x+2x^2)	tangent\:e^{x}(-8-3x+2x^{2})
derivative of (x^2/(x^2-1))	\frac{d}{dx}(\frac{x^{2}}{x^{2}-1})
derivative of log_{3}(x^2)	\frac{d}{dx}(\log_{3}(x^{2}))
limit as x approaches 0 of 1/(ln(x^3))	\lim\:_{x\to\:0}(\frac{1}{\ln(x^{3})})
integral of 9+sin(x)	\int\:9+\sin(x)dx
integral from 0 to 1.25 of 1250x	\int\:_{0}^{1.25}1250xdx
integral of (16x^3-32x^2+7)/(x^2-2x)	\int\:\frac{16x^{3}-32x^{2}+7}{x^{2}-2x}dx
laplacetransform 4\delta(t)+5e^t-5e^{5t}	laplacetransform\:4\delta(t)+5e^{t}-5e^{5t}

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