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Popular Calculus Problems

derivative of g(x)=ln(xe^{-7x})	derivative\:g(x)=\ln(xe^{-7x})
integral of u/(sqrt(u^2+1))	\int\:\frac{u}{\sqrt{u^{2}+1}}du
limit as x approaches 0 of (ln(\frac{1+x)/(1-x))-2x}{x-sin(x)}	\lim\:_{x\to\:0}(\frac{\ln(\frac{1+x}{1-x})-2x}{x-\sin(x)})
derivative of f(t)=80t+t^2-1/48 t^3	derivative\:f(t)=80t+t^{2}-\frac{1}{48}t^{3}
integral from 1 to 16 of 8/(sqrt(x))	\int\:_{1}^{16}\frac{8}{\sqrt{x}}dx
derivative of f(x)=e^{-4x}	derivative\:f(x)=e^{-4x}
derivative of (14x+8x^2/((7+8x)^2))	\frac{d}{dx}(\frac{14x+8x^{2}}{(7+8x)^{2}})
integral of 5e^x+3sin(x)	\int\:5e^{x}+3\sin(x)dx
integral of 1/(xsqrt(4x^2+49))	\int\:\frac{1}{x\sqrt{4x^{2}+49}}dx
derivative of-27e^{-3x}	\frac{d}{dx}(-27e^{-3x})
derivative of e^{-0.01x}	\frac{d}{dx}(e^{-0.01x})
integral of 12t	\int\:12tdt
derivative of 2^{(5x)}	derivative\:2^{(5x)}
derivative of (x-2^3)	\frac{d}{dx}((x-2)^{3})
inverse oflaplace-1/(s^2)e^{-5s}+1/(s^2)	inverselaplace\:-\frac{1}{s^{2}}e^{-5s}+\frac{1}{s^{2}}
integral of (3x^2-8x-9)/(x^3-4x^2-9x+36)	\int\:\frac{3x^{2}-8x-9}{x^{3}-4x^{2}-9x+36}dx
derivative of (1-ln(x))/(2x^2)	derivative\:\frac{1-\ln(x)}{2x^{2}}
limit as x approaches 1+of (x-1)^{x-1}	\lim\:_{x\to\:1+}((x-1)^{x-1})
derivative of y=2x+3	derivative\:y=2x+3
derivative of-x-5	\frac{d}{dx}(-x-5)
derivative of tan(3x-3x)	\frac{d}{dx}(\tan(3x)-3x)
integral of e^{cx}	\int\:e^{cx}dx
integral of cos(n)t	\int\:\cos(n)tdt
(\partial)/(\partial x)((x+y)/(y+1))	\frac{\partial\:}{\partial\:x}(\frac{x+y}{y+1})
integral of (x^2)/(x^6+3x^3+2)	\int\:\frac{x^{2}}{x^{6}+3x^{3}+2}dx
area x^2+1,3-x	area\:x^{2}+1,3-x
derivative of 2x^{5/3}-5x^{4/5}+7x^{3/2}-8x+17	\frac{d}{dx}(2x^{\frac{5}{3}}-5x^{\frac{4}{5}}+7x^{\frac{3}{2}}-8x+17)
integral of arcsin^2(x)	\int\:\arcsin^{2}(x)dx
derivative of f(x)=(x^2)/(x-11)	derivative\:f(x)=\frac{x^{2}}{x-11}
derivative of sqrt(5x^3+2x^2+3)	derivative\:\sqrt{5x^{3}+2x^{2}+3}
limit as x approaches infinity of cox(x)	\lim\:_{x\to\:\infty\:}(cox(x))
(\partial)/(\partial s)(-5s^2t)	\frac{\partial\:}{\partial\:s}(-5s^{2}t)
250y^{''}+8y^'+2y=0	250y^{\prime\:\prime\:}+8y^{\prime\:}+2y=0
integral of (e^{1/(x^6)})/(x^7)	\int\:\frac{e^{\frac{1}{x^{6}}}}{x^{7}}dx
integral from 0 to 5 of \|2x-6\|	\int\:_{0}^{5}\left\|2x-6\right\|dx
integral of t/(1-t^2)	\int\:\frac{t}{1-t^{2}}dt
derivative of 2x^2-4x+4	\frac{d}{dx}(2x^{2}-4x+4)
integral of (ln(x^2))/(x^2)	\int\:\frac{\ln(x^{2})}{x^{2}}dx
derivative of arccos(7/x)	\frac{d}{dx}(\arccos(\frac{7}{x}))
integral of 4/(3x^2sqrt(5-7x^2))	\int\:\frac{4}{3x^{2}\sqrt{5-7x^{2}}}dx
derivative of (4x/(3-cot(x)))	\frac{d}{dx}(\frac{4x}{3-\cot(x)})
f(x)=6ln(x)	f(x)=6\ln(x)
integral from 0 to 1 of \sqrt[3]{x}	\int\:_{0}^{1}\sqrt[3]{x}dx
integral of (2x+5)/(3x-1)	\int\:\frac{2x+5}{3x-1}dx
derivative of (1/(3x+1)^4)	\frac{d}{dx}((\frac{1}{3x+1})^{4})
inverse oflaplace 4/(s^2+9)	inverselaplace\:\frac{4}{s^{2}+9}
integral of 11sin^5(x)	\int\:11\sin^{5}(x)dx
integral of (x^2)/(2-x^3)	\int\:\frac{x^{2}}{2-x^{3}}dx
derivative of y=3e^{-x}+e^{4x}	derivative\:y=3e^{-x}+e^{4x}
integral of sqrt(x)x	\int\:\sqrt{x}xdx
(\partial)/(\partial x)(xcos(y^2)+yz)	\frac{\partial\:}{\partial\:x}(x\cos(y^{2})+yz)
integral of (x^2+1)/(x^2-3)	\int\:\frac{x^{2}+1}{x^{2}-3}dx
limit as x approaches 0 of 1-x^3	\lim\:_{x\to\:0}(1-x^{3})
integral of x/(x^{2_{-1)}}	\int\:\frac{x}{x^{2_{-1}}}dx
integral from 0 to 1 of (3x^2+2x+1)	\int\:_{0}^{1}(3x^{2}+2x+1)dx
derivative of 2/(sqrt(1-x))	\frac{d}{dx}(\frac{2}{\sqrt{1-x}})
(\partial)/(\partial x)(tan(x+y))	\frac{\partial\:}{\partial\:x}(\tan(x+y))
integral of ln(r^2)	\int\:\ln(r^{2})dr
y^'=5ysin(4x)	y^{\prime\:}=5y\sin(4x)
inverse oflaplace 1/(2s-5)	inverselaplace\:\frac{1}{2s-5}
derivative of ln(sin(3x))	\frac{d}{dx}(\ln(\sin(3x)))
derivative of x^{2/3}-x^{1/3}+4	\frac{d}{dx}(x^{\frac{2}{3}}-x^{\frac{1}{3}}+4)
d/(dy)(-y)	\frac{d}{dy}(-y)
integral of xe^{12x}	\int\:xe^{12x}dx
(\partial)/(\partial x)(-4sqrt(x))	\frac{\partial\:}{\partial\:x}(-4\sqrt{x})
integral of 1/(sqrt(2x-5))	\int\:\frac{1}{\sqrt{2x-5}}dx
(\partial)/(\partial x)(2zy)	\frac{\partial\:}{\partial\:x}(2zy)
area x=((y-4)^2)/4 ,y=7-x	area\:x=\frac{(y-4)^{2}}{4},y=7-x
derivative of ln(e^{3x})	derivative\:\ln(e^{3x})
derivative of (x+3/(x-2))	\frac{d}{dx}(\frac{x+3}{x-2})
(\partial)/(\partial x)(xy^3+2xy)	\frac{\partial\:}{\partial\:x}(xy^{3}+2xy)
limit as x approaches infinity of tan((2xpi)/(1+8x))	\lim\:_{x\to\:\infty\:}(\tan(\frac{2xπ}{1+8x}))
integral of 1/(sqrt(36x^2-49))	\int\:\frac{1}{\sqrt{36x^{2}-49}}dx
derivative of (4x/((x^2+2)^2))	\frac{d}{dx}(\frac{4x}{(x^{2}+2)^{2}})
limit as x approaches 0+of x^{sin(2x)}	\lim\:_{x\to\:0+}(x^{\sin(2x)})
derivative of sin(2xcos(3x))	\frac{d}{dx}(\sin(2x)\cos(3x))
y^{''}+9y=4csc^2(3x)	y^{\prime\:\prime\:}+9y=4\csc^{2}(3x)
tangent of f(x)= 1/(sqrt(8x)),\at x=9	tangent\:f(x)=\frac{1}{\sqrt{8x}},\at\:x=9
(\partial)/(\partial x)(2x^3y^2+2y+4x)	\frac{\partial\:}{\partial\:x}(2x^{3}y^{2}+2y+4x)
integral of x^3sqrt(x^4+1)	\int\:x^{3}\sqrt{x^{4}+1}dx
1/y dx-x/((ln(x))^3)dy=0	\frac{1}{y}dx-\frac{x}{(\ln(x))^{3}}dy=0
integral of 3x^{-3}+sin(x)	\int\:3x^{-3}+\sin(x)dx
(dy)/(dx)= y/x+x/y	\frac{dy}{dx}=\frac{y}{x}+\frac{x}{y}
(\partial)/(\partial θ)(r(θ)*cos(θ))	\frac{\partial\:}{\partial\:θ}(r(θ)\cdot\:\cos(θ))
derivative of e^{rt}	derivative\:e^{rt}
integral from-pi to pi of sin^3(x)	\int\:_{-π}^{π}\sin^{3}(x)dx
limit as x approaches 0+of xln(tan(3x))	\lim\:_{x\to\:0+}(x\ln(\tan(3x)))
derivative of-(19)/((2x-5)^2)	derivative\:-\frac{19}{(2x-5)^{2}}
limit as x approaches-26.8 of-26.8	\lim\:_{x\to\:-26.8}(-26.8)
taylor 4/(x+2),0	taylor\:\frac{4}{x+2},0
limit as x approaches infinity of 10*e^{(-x)/2}+4	\lim\:_{x\to\:\infty\:}(10\cdot\:e^{\frac{-x}{2}}+4)
(dy)/(dx)=(4x)/(9y)	\frac{dy}{dx}=\frac{4x}{9y}
derivative of e^{-1x}	\frac{d}{dx}(e^{-1x})
slope ofintercept (-1,-2),(3,2)	slopeintercept\:(-1,-2),(3,2)
derivative of ln(x+p)	derivative\:\ln(x+p)
d/(dy)(-4y)	\frac{d}{dy}(-4y)
sec(x)dy+csc(y)dx=0	\sec(x)dy+\csc(y)dx=0
y^'=y(2-ty)	y^{\prime\:}=y(2-ty)
derivative of y=(3(x-1))/(4xsqrt(x))	derivative\:y=\frac{3(x-1)}{4x\sqrt{x}}
integral of xsin((npix)/(10))	\int\:x\sin(\frac{nπx}{10})dx

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