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Popular Calculus Problems

limit as x approaches infinity of 8+1/x	\lim\:_{x\to\:\infty\:}(8+\frac{1}{x})
derivative of ln(sqrt(9-x^2))	\frac{d}{dx}(\ln(\sqrt{9-x^{2}}))
(\partial)/(\partial x)(x^2+y^2+z^2-1)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+z^{2}-1)
maclaurin arccos((cos(x))/(1+cos(x)))	maclaurin\:\arccos(\frac{\cos(x)}{1+\cos(x)})
f(x)=sin(8x)	f(x)=\sin(8x)
derivative of y=x^{9cos(x)}	derivative\:y=x^{9\cos(x)}
integral of 2-\|x\|	\int\:2-\left\|x\right\|dx
tangent of f(x)= 1/x ,(2, 1/2)	tangent\:f(x)=\frac{1}{x},(2,\frac{1}{2})
derivative of (x^3+x^2-2(7+x-x^4))	\frac{d}{dx}((x^{3}+x^{2}-2)(7+x-x^{4}))
integral of ((3(4u+1)^{1/2}))/4	\int\:\frac{(3(4u+1)^{\frac{1}{2}})}{4}du
derivative of 3arccos(x/2)	\frac{d}{dx}(3\arccos(\frac{x}{2}))
integral of (42w^7-7w)/(7w^5)	\int\:\frac{42w^{7}-7w}{7w^{5}}dw
limit as x approaches 2 of (x^3-8)/(x+2)	\lim\:_{x\to\:2}(\frac{x^{3}-8}{x+2})
slope ofintercept (4,0),(-2,4)	slopeintercept\:(4,0),(-2,4)
y^{''}+4y^'+3y=4e^{-t},y(0)=0,y^'(0)=2	y^{\prime\:\prime\:}+4y^{\prime\:}+3y=4e^{-t},y(0)=0,y^{\prime\:}(0)=2
derivative of 1/(sqrt(sin(x)))	\frac{d}{dx}(\frac{1}{\sqrt{\sin(x)}})
derivative of f(x)=ln(5)	derivative\:f(x)=\ln(5)
integral of 1/(sqrt(5s+4))	\int\:\frac{1}{\sqrt{5s+4}}ds
limit as x approaches+3 of 3x^2+4x-1	\lim\:_{x\to\:+3}(3x^{2}+4x-1)
limit as x approaches 6 of 4x	\lim\:_{x\to\:6}(4x)
derivative of sqrt(x+\sqrt{x)}	derivative\:\sqrt{x+\sqrt{x}}
derivative of sqrt(7)u+sqrt(10u)	derivative\:\sqrt{7}u+\sqrt{10u}
derivative of sqrt(x)+3	derivative\:\sqrt{x}+3
limit as x approaches-8 of \|x+8\|	\lim\:_{x\to\:-8}(\left\|x+8\right\|)
integral of \sqrt[3]{8x^2}	\int\:\sqrt[3]{8x^{2}}dx
derivative of 6^{5x^4-10x^3+5}	\frac{d}{dx}(6^{5x^{4}-10x^{3}+5})
simplify ln(sqrt(x+5))	simplify\:\ln(\sqrt{x+5})
derivative of sqrt(7+6f(x))	derivative\:\sqrt{7+6f(x)}
integral of x/(sqrt(x^2-2x+5))	\int\:\frac{x}{\sqrt{x^{2}-2x+5}}dx
(\partial)/(\partial y)(x^3ye^{xy})	\frac{\partial\:}{\partial\:y}(x^{3}ye^{xy})
derivative of y= 7/(x^2+3)	derivative\:y=\frac{7}{x^{2}+3}
(\partial)/(\partial x)(-y-x/(y^2))	\frac{\partial\:}{\partial\:x}(-y-\frac{x}{y^{2}})
integral of 3/(xsqrt(x^2-9))	\int\:\frac{3}{x\sqrt{x^{2}-9}}dx
integral of e^{-x^4}(-4x^3)	\int\:e^{-x^{4}}(-4x^{3})dx
integral of (5x^4+2)(x^5+2x)^{2021}	\int\:(5x^{4}+2)(x^{5}+2x)^{2021}dx
derivative of 8sin^4(sqrt(x))	derivative\:8\sin^{4}(\sqrt{x})
derivative of e^{x^2sin(x})	\frac{d}{dx}(e^{x^{2}\sin(x)})
integral of a/(\sqrt[3]{x^2)}	\int\:\frac{a}{\sqrt[3]{x^{2}}}dx
limit as x approaches 2 of [x(x-2)]	\lim\:_{x\to\:2}([x(x-2)])
tangent of f(x)=11-x^2	tangent\:f(x)=11-x^{2}
laplacetransform 40	laplacetransform\:40
limit as x approaches 4pi of e^{tan(x)}	\lim\:_{x\to\:4π}(e^{\tan(x)})
derivative of a^{5x}	\frac{d}{dx}(a^{5x})
tangent of f(x)=x^3+4x-4,(1,1)	tangent\:f(x)=x^{3}+4x-4,(1,1)
integral from 0 to 0.5 of (1-x^2)^{0.5}	\int\:_{0}^{0.5}(1-x^{2})^{0.5}dx
integral of 1/(ax)	\int\:\frac{1}{ax}dx
d/(d{x)}({z}+{y}^3+{y}+{x})	\frac{d}{d{x}}({z}+{y}^{3}+{y}+{x})
limit as x approaches-2 of x^2-4x+10	\lim\:_{x\to\:-2}(x^{2}-4x+10)
integral of 1/((x^2-2)^2)	\int\:\frac{1}{(x^{2}-2)^{2}}dx
(\partial)/(\partial x)(2xe^{2y})	\frac{\partial\:}{\partial\:x}(2xe^{2y})
x^'=2(x+1)	x^{\prime\:}=2(x+1)
derivative of 7x^2sin(xtan(x))	\frac{d}{dx}(7x^{2}\sin(x)\tan(x))
tangent of y=x+sqrt(x),(4,6)	tangent\:y=x+\sqrt{x},(4,6)
integral of 1/(tan(v))	\int\:\frac{1}{\tan(v)}dv
integral from 0 to 8 of 1/(8-x)	\int\:_{0}^{8}\frac{1}{8-x}dx
derivative of x^2arctan(3x)	derivative\:x^{2}\arctan(3x)
(\partial)/(\partial x)(e^{x-1}cos(y))	\frac{\partial\:}{\partial\:x}(e^{x-1}\cos(y))
derivative of cos^4(sin^3(x))	\frac{d}{dx}(\cos^{4}(\sin^{3}(x)))
derivative of y=arccos(5x)	derivative\:y=\arccos(5x)
derivative of 4/(x+3)	\frac{d}{dx}(\frac{4}{x+3})
derivative of 3x-e^x	\frac{d}{dx}(3x-e^{x})
(dy)/(dx)-y/x =1-1/x	\frac{dy}{dx}-\frac{y}{x}=1-\frac{1}{x}
inverse oflaplace 1/(s^2+a^2)	inverselaplace\:\frac{1}{s^{2}+a^{2}}
integral of ((x^2+x+1)/(sqrt(x)))	\int\:(\frac{x^{2}+x+1}{\sqrt{x}})dx
(\partial)/(\partial y)(tan(xy))	\frac{\partial\:}{\partial\:y}(\tan(xy))
integral of (2ti+j+k)	\int\:(2ti+j+k)dt
limit as x approaches 0 of (4/(2+x)-2)/x	\lim\:_{x\to\:0}(\frac{\frac{4}{2+x}-2}{x})
integral of 5sin(3x)	\int\:5\sin(3x)dx
derivative of y=log_{3}(5x^4)	derivative\:y=\log_{3}(5x^{4})
implicit 2x^2+y^2-7=0	implicit\:2x^{2}+y^{2}-7=0
integral from pi to 2pi of-cos(x)	\int\:_{π}^{2π}-\cos(x)dx
limit as x approaches 1 of (x-x^3)/(x-1)	\lim\:_{x\to\:1}(\frac{x-x^{3}}{x-1})
derivative of (d^2/(dx^2)(x^4)+cos(x)+1)	\frac{d}{dx}(\frac{d^{2}}{dx^{2}}(x^{4})+\cos(x)+1)
integral of 3x^3e^{5x^4}	\int\:3x^{3}e^{5x^{4}}dx
y^{''}+3y^'-10y=0	y^{\prime\:\prime\:}+3y^{\prime\:}-10y=0
derivative of e^{x^4}*4x^3	\frac{d}{dx}(e^{x^{4}}\cdot\:4x^{3})
x^{''}+kx=0	x^{\prime\:\prime\:}+kx=0
area y= 4/x ,y=4x,x=4,x=0	area\:y=\frac{4}{x},y=4x,x=4,x=0
(dy)/(dx)=10-(2y)/(100-x)	\frac{dy}{dx}=10-\frac{2y}{100-x}
derivative of e^x+3e^{-x}	\frac{d}{dx}(e^{x}+3e^{-x})
integral of y^2(5-y^3)^{2/3}	\int\:y^{2}(5-y^{3})^{\frac{2}{3}}dy
integral of ((x+6))/(x+7)	\int\:\frac{(x+6)}{x+7}dx
inverse oflaplace 1/(s(s+1)^2)	inverselaplace\:\frac{1}{s(s+1)^{2}}
tangent of f(x)=3x^2-5,\at x=2	tangent\:f(x)=3x^{2}-5,\at\:x=2
limit as x approaches 3pi+of cot(x)	\lim\:_{x\to\:3π+}(\cot(x))
integral of-2xcos(6x)	\int\:-2x\cos(6x)dx
(\partial)/(\partial x)(ln((xy)/(y+z)))	\frac{\partial\:}{\partial\:x}(\ln(\frac{xy}{y+z}))
inverse oflaplace 6/(s(s^2+2s+6))	inverselaplace\:\frac{6}{s(s^{2}+2s+6)}
tangent of f(x)=(1+x^2)/(x^2-1)	tangent\:f(x)=\frac{1+x^{2}}{x^{2}-1}
derivative of y=ln(x+sqrt(x^2-6))	derivative\:y=\ln(x+\sqrt{x^{2}-6})
d/(da)(csc(a)tan(a)cos(a)-csc^2(a))	\frac{d}{da}(\csc(a)\tan(a)\cos(a)-\csc^{2}(a))
limit as x approaches 0 of ln(x^2+1)	\lim\:_{x\to\:0}(\ln(x^{2}+1))
y^{''}+3y^'-4y=0	y^{\prime\:\prime\:}+3y^{\prime\:}-4y=0
integral of (cos(x))(tan(x))	\int\:(\cos(x))(\tan(x))dx
limit as x approaches 3-of (x-3)/(x-3)	\lim\:_{x\to\:3-}(\frac{x-3}{x-3})
integral of ((1-x)^3)/((x\sqrt[3]{x))}	\int\:\frac{(1-x)^{3}}{(x\sqrt[3]{x})}dx
derivative of 2(3-8x^3)	\frac{d}{dx}(2(3-8x)^{3})
d/(d{y)}({x}^2{y}{z})	\frac{d}{d{y}}({x}^{2}{y}{z})
derivative of (4x^2-8x+8e^x)	\frac{d}{dx}((4x^{2}-8x+8)e^{x})
integral of 1/((x-8)(x^2+25))	\int\:\frac{1}{(x-8)(x^{2}+25)}dx

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