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Popular Calculus Problems

integral of 9tsin(t)cos(t)	\int\:9t\sin(t)\cos(t)dt
integral of 3/(sqrt(x)+x\sqrt{x)}	\int\:\frac{3}{\sqrt{x}+x\sqrt{x}}dx
integral of (2x^2-x+4)/(x^3+4x)	\int\:\frac{2x^{2}-x+4}{x^{3}+4x}dx
integral of xin(x)	\int\:xin(x)dx
integral of (cos(x))/(sqrt(1-sin(x)))	\int\:\frac{\cos(x)}{\sqrt{1-\sin(x)}}dx
(e^{3x})^'	(e^{3x})^{\prime\:}
limit as x approaches 3 of (2x-3)/(x+5)	\lim\:_{x\to\:3}(\frac{2x-3}{x+5})
integral from 0 to 1 of ln(5x)	\int\:_{0}^{1}\ln(5x)dx
limit as x approaches 0 of 9x^2+6x	\lim\:_{x\to\:0}(9x^{2}+6x)
derivative of ((2x^2+8x+4)/(sqrt(x)))	\frac{d}{dx}(\frac{(2x^{2}+8x+4)}{\sqrt{x}})
integral of x^3(x^4-3)^4	\int\:x^{3}(x^{4}-3)^{4}dx
integral of ((ln(x))^{26})/x	\int\:\frac{(\ln(x))^{26}}{x}dx
integral from 0 to 1/2 of xsqrt(1-4x^2)	\int\:_{0}^{\frac{1}{2}}x\sqrt{1-4x^{2}}dx
(\partial)/(\partial x)(e^yx)	\frac{\partial\:}{\partial\:x}(e^{y}x)
integral of 3x+5	\int\:3x+5dx
derivative of 2cos(x-sin(2x))	\frac{d}{dx}(2\cos(x)-\sin(2x))
y^'= x/(200)-y/(100)	y^{\prime\:}=\frac{x}{200}-\frac{y}{100}
derivative of 1/3 x^3-5/2 x^2+6x+1	\frac{d}{dx}(\frac{1}{3}x^{3}-\frac{5}{2}x^{2}+6x+1)
integral of-1/x*1/x	\int\:-\frac{1}{x}\cdot\:\frac{1}{x}dx
derivative of f(x)=sqrt(x-1)	derivative\:f(x)=\sqrt{x-1}
integral of θsec(θ)tan(θ)	\int\:θ\sec(θ)\tan(θ)dθ
((f(x)+x-6)/(4-2x))'	(\frac{f(x)+x-6}{4-2x})\prime\:
integral of (9-x^2)	\int\:(9-x^{2})dx
derivative of 16ln(x^2-x^2)	\frac{d}{dx}(16\ln(x^{2})-x^{2})
integral of (x^3)/(sqrt(x^2+64))	\int\:\frac{x^{3}}{\sqrt{x^{2}+64}}dx
maclaurin 2^x	maclaurin\:2^{x}
derivative of (x+ln(x^2)^{sin(x)+2cos(x)})	\frac{d}{dx}((x+\ln(x^{2}))^{\sin(x)+2\cos(x)})
(\partial)/(\partial x)(6x^2y+1)	\frac{\partial\:}{\partial\:x}(6x^{2}y+1)
limit as x approaches 3 of 1/(3x^2-27)	\lim\:_{x\to\:3}(\frac{1}{3x^{2}-27})
(\partial)/(\partial x)(3sin^2(x)cos(x))	\frac{\partial\:}{\partial\:x}(3\sin^{2}(x)\cos(x))
integral of ysin(x)	\int\:y\sin(x)dx
integral of sec(x)(tan(x)+sec(x))	\int\:\sec(x)(\tan(x)+\sec(x))dx
integral of 1/(sqrt(1+e^{2x))}	\int\:\frac{1}{\sqrt{1+e^{2x}}}dx
y^'=ay+be^{-b}	y^{\prime\:}=ay+be^{-b}
integral of (e^x)/((e^{2x)+1)(e^x-1)}	\int\:\frac{e^{x}}{(e^{2x}+1)(e^{x}-1)}dx
derivative of y= 4/((7x)^7)	derivative\:y=\frac{4}{(7x)^{7}}
integral of 1/(x^2sqrt(64x^2+25))	\int\:\frac{1}{x^{2}\sqrt{64x^{2}+25}}dx
xy^'+y-3=0	xy^{\prime\:}+y-3=0
integral from-5 to 5 of sqrt(1+(x)^2)	\int\:_{-5}^{5}\sqrt{1+(x)^{2}}dx
integral from-18 to 2 of 1/(sqrt(\|2x\|))	\int\:_{-18}^{2}\frac{1}{\sqrt{\left\|2x\right\|}}dx
integral from-3 to 3 of (20)/(x^2-6x-91)	\int\:_{-3}^{3}\frac{20}{x^{2}-6x-91}dx
integral of (x^2)/((x-3)(x-4)^2)	\int\:\frac{x^{2}}{(x-3)(x-4)^{2}}dx
limit as x approaches 0 of (6^x-8^x)/x	\lim\:_{x\to\:0}(\frac{6^{x}-8^{x}}{x})
y^'= 1/y	y^{\prime\:}=\frac{1}{y}
1/(2*5)y+y^'= t/2 ,y(30)=10	\frac{1}{2\cdot\:5}y+y^{\prime\:}=\frac{t}{2},y(30)=10
slope of (-10,1),(0,-4)	slope\:(-10,1),(0,-4)
integral of 1/(x^{1/2)+1}	\int\:\frac{1}{x^{\frac{1}{2}}+1}dx
(\partial)/(\partial x)(xy(3-x-y))	\frac{\partial\:}{\partial\:x}(xy(3-x-y))
limit as x approaches pi of sin(7/6 x)	\lim\:_{x\to\:π}(\sin(\frac{7}{6}x))
integral of 1/(e^{x+1)}	\int\:\frac{1}{e^{x+1}}dx
integral of (x^3+1)^2	\int\:(x^{3}+1)^{2}dx
derivative of ((x^2-2x+3))/((x-1)^2)	derivative\:\frac{(x^{2}-2x+3)}{(x-1)^{2}}
integral from 2y to 2 of integral from 0 to 1 of e^{x^2}	\int\:_{2y}^{2}\int\:_{0}^{1}e^{x^{2}}dydx
derivative of e^{3x}sin(2x)	\frac{d}{dx}(e^{3x}\sin(2x))
ydx+x^2dy=0	ydx+x^{2}dy=0
(\partial)/(\partial y)(xy^2+5y-6x^3+7)	\frac{\partial\:}{\partial\:y}(xy^{2}+5y-6x^{3}+7)
y^'=(x-y+1)^2+(x-y)	y^{\prime\:}=(x-y+1)^{2}+(x-y)
(\partial)/(\partial x)(f(x)\circ g(x))	\frac{\partial\:}{\partial\:x}(f(x)\circ\:g(x))
integral of ((8x-3)/(sqrt(12x-4x^2-5)))	\int\:(\frac{8x-3}{\sqrt{12x-4x^{2}-5}})dx
integral of (6+x+9e^x)	\int\:(6+x+9e^{x})dx
derivative of arccos((12/x))	\frac{d}{dx}(\arccos(\frac{12}{x}))
integral of (sin(x))/(1+2cos(x))	\int\:\frac{\sin(x)}{1+2\cos(x)}dx
(dy)/(dx)y=x^{-8}	\frac{dy}{dx}y=x^{-8}
integral of 1/((1-6t)^4)	\int\:\frac{1}{(1-6t)^{4}}dt
laplacetransform cos^2(3t)	laplacetransform\:\cos^{2}(3t)
derivative of 4e^x+2/(\sqrt[3]{x)}	derivative\:4e^{x}+\frac{2}{\sqrt[3]{x}}
y^{''}+2y^'+2y=sin(2t)	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=\sin(2t)
derivative of sin^5(4x^5)	derivative\:\sin^{5}(4x^{5})
integral of sin(2x)(sin^2(x)+pi)^{3/2}	\int\:\sin(2x)(\sin^{2}(x)+π)^{\frac{3}{2}}dx
derivative of f(x)=e^{sin(x)}	derivative\:f(x)=e^{\sin(x)}
tangent of y=2x^3-8x,(-2,0)	tangent\:y=2x^{3}-8x,(-2,0)
integral of e^{-t(s+1)}	\int\:e^{-t(s+1)}dt
inverse oflaplace (e^{-s})/(1-s)	inverselaplace\:\frac{e^{-s}}{1-s}
derivative of f(t)=2^{t^3}	derivative\:f(t)=2^{t^{3}}
taylor sin(x),(pi/4)	taylor\:\sin(x),(\frac{π}{4})
y^{'''}-6y^{''}=4-cos(x)	y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}=4-\cos(x)
limit as x approaches 2+of x/(x^2-4)	\lim\:_{x\to\:2+}(\frac{x}{x^{2}-4})
(d^2)/(dx^2)(7θsin(θ))	\frac{d^{2}}{dx^{2}}(7θ\sin(θ))
integral of xln(2x+1)	\int\:x\ln(2x+1)dx
(\partial)/(\partial x)(3y^2+xcos(xy))	\frac{\partial\:}{\partial\:x}(3y^{2}+x\cos(xy))
integral of (x^3+1)/(x+1)	\int\:\frac{x^{3}+1}{x+1}dx
limit as x approaches 3-of 3/(x-3)	\lim\:_{x\to\:3-}(\frac{3}{x-3})
derivative of 2x-2-2cos(x-2)	\frac{d}{dx}(2x-2-2\cos(x-2))
tangent of sqrt(3x)+2	tangent\:\sqrt{3x}+2
(d^2)/(dx^2)(3/(4t^6))	\frac{d^{2}}{dx^{2}}(\frac{3}{4t^{6}})
inverse oflaplace 1/((s*(s^2+s+1)))	inverselaplace\:\frac{1}{(s\cdot\:(s^{2}+s+1))}
tangent of f(x)=((x-5))/((x-6),(7,2))	tangent\:f(x)=\frac{(x-5)}{(x-6),(7,2)}
derivative of 12x^3-12x^2-24x	\frac{d}{dx}(12x^{3}-12x^{2}-24x)
derivative of sin(sqrt(1+cos(x)))	derivative\:\sin(\sqrt{1+\cos(x)})
integral of 20e^{-20x}	\int\:20e^{-20x}dx
integral from 3 to infinity of xe^{-3x}	\int\:_{3}^{\infty\:}xe^{-3x}dx
slope of f(x)=sqrt(x)	slope\:f(x)=\sqrt{x}
derivative of (-2x/(2y))	\frac{d}{dx}(\frac{-2x}{2y})
derivative of (hx/2+(kd)/x)	\frac{d}{dx}(\frac{hx}{2}+\frac{kd}{x})
(\partial)/(\partial x)(x*e^{y/x})	\frac{\partial\:}{\partial\:x}(x\cdot\:e^{\frac{y}{x}})
f^'(x)= 4/(1-2x^2)	f^{\prime\:}(x)=\frac{4}{1-2x^{2}}
derivative of sin(t^2)ln(t^3)	derivative\:\sin(t^{2})\ln(t^{3})
integral of (e^{x/a}-e^{-x/a})^2	\int\:(e^{\frac{x}{a}}-e^{-\frac{x}{a}})^{2}dx
integral of 4e^x	\int\:4e^{x}dx
area x+y^2=30,x+y=0	area\:x+y^{2}=30,x+y=0

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