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Popular Calculus Problems

derivative of (3x^{6x})	\frac{d}{dx}((3x)^{6x})
limit as x approaches 0 of x^2cot(x)	\lim\:_{x\to\:0}(x^{2}\cot(x))
y-2y^'=0	y-2y^{\prime\:}=0
integral of-2ycos(y)	\int\:-2y\cos(y)dy
area y=tan(5x),y=2sin(5x)	area\:y=\tan(5x),y=2\sin(5x)
limit as x approaches-1 of 8x^4-3x^3+5x	\lim\:_{x\to\:-1}(8x^{4}-3x^{3}+5x)
integral of (x+1)sqrt(3-x)	\int\:(x+1)\sqrt{3-x}dx
d/(dL)(({K}(L)L)^{1/2})	\frac{d}{dL}(({K}(L)L)^{\frac{1}{2}})
inverse oflaplace s/(s+5)	inverselaplace\:\frac{s}{s+5}
tangent of f(x)=4x^3-x^2-7,\at x=-1	tangent\:f(x)=4x^{3}-x^{2}-7,\at\:x=-1
integral of 8tan(x)sec^3(x)	\int\:8\tan(x)\sec^{3}(x)dx
derivative of y=(x^2+2)^2(x^4+4)^4	derivative\:y=(x^{2}+2)^{2}(x^{4}+4)^{4}
integral of 1/(y^3-y)	\int\:\frac{1}{y^{3}-y}dy
tangent of h(x)= 7/x ,\at x=5	tangent\:h(x)=\frac{7}{x},\at\:x=5
derivative of-1/2 e^{-x/4}	\frac{d}{dx}(-\frac{1}{2}e^{-\frac{x}{4}})
limit as x approaches 0+of xlog_{e}(x)	\lim\:_{x\to\:0+}(x\log_{e}(x))
expand-8(64e^{-4x^2}x^3-24e^{-4x^2}x)	expand\:-8(64e^{-4x^{2}}x^{3}-24e^{-4x^{2}}x)
laplacetransform (t^2)/2	laplacetransform\:\frac{t^{2}}{2}
integral of e^{-st}(2t+1)	\int\:e^{-st}(2t+1)dt
area y= 1/(x^2),y=x,y= 1/8 x	area\:y=\frac{1}{x^{2}},y=x,y=\frac{1}{8}x
derivative of 50e^{-0.5x}-(5/x)	\frac{d}{dx}(50e^{-0.5x}-(\frac{5}{x}))
(\partial)/(\partial x)(sqrt(x+e^{4y)})	\frac{\partial\:}{\partial\:x}(\sqrt{x+e^{4y}})
integral of ((3x+4))/((x^2+4)(3-x))	\int\:\frac{(3x+4)}{(x^{2}+4)(3-x)}dx
taylor-(x)^21	taylor\:-(x)^{2}1
d/(dt)(-e^{3t})	\frac{d}{dt}(-e^{3t})
integral of 6x^2cos(x)	\int\:6x^{2}\cos(x)dx
tangent of f(x)=x^3-3x+2,\at x=2	tangent\:f(x)=x^{3}-3x+2,\at\:x=2
(\partial)/(\partial y)(2e^{2z}xy-2y)	\frac{\partial\:}{\partial\:y}(2e^{2z}xy-2y)
taylor 1/(x^3)	taylor\:\frac{1}{x^{3}}
d/(dt)(cos(t)-sin(t))	\frac{d}{dt}(\cos(t)-\sin(t))
integral of+(e^{2x})/(1+e^{2x)}	\int\:+\frac{e^{2x}}{1+e^{2x}}dx
tangent of f(x)=sqrt(4x^2-4x+1),\at x=1	tangent\:f(x)=\sqrt{4x^{2}-4x+1},\at\:x=1
(\partial)/(\partial x)(xsin(x+y)-cos(x+y))	\frac{\partial\:}{\partial\:x}(x\sin(x+y)-\cos(x+y))
y^'=y^4*(4x^2+x)	y^{\prime\:}=y^{4}\cdot\:(4x^{2}+x)
slope ofintercept (7,4),(1,-2)	slopeintercept\:(7,4),(1,-2)
integral of (x^2-2x)^2	\int\:(x^{2}-2x)^{2}dx
integral of 3/((4+x^2))	\int\:\frac{3}{(4+x^{2})}dx
derivative of 5tsin(4t)	derivative\:5t\sin(4t)
integral of (7x^2-4)/(x^3+x^2-2x)	\int\:\frac{7x^{2}-4}{x^{3}+x^{2}-2x}dx
integral of 3xe^{x^2}	\int\:3xe^{x^{2}}dx
integral from-2 to 0 of 7x^2+7x	\int\:_{-2}^{0}7x^{2}+7xdx
integral of 1/(1.02^x)	\int\:\frac{1}{1.02^{x}}dx
integral of x^4(x^5-1)^{3/4}	\int\:x^{4}(x^{5}-1)^{\frac{3}{4}}dx
integral of (sqrt(x-9))/x	\int\:\frac{\sqrt{x-9}}{x}dx
derivative of P(x)=-1000+12x+0.0004x^2	derivative\:P(x)=-1000+12x+0.0004x^{2}
derivative of x^3(x-5)^2	derivative\:x^{3}(x-5)^{2}
taylor 0.05xln((10)/x),x=1	taylor\:0.05\cdot\:x\cdot\:\ln(\frac{10}{x}),x=1
inverse oflaplace (5s)/(s^2+2s+5)	inverselaplace\:\frac{5s}{s^{2}+2s+5}
integral of 3cos^2(x)sin^2(x)	\int\:3\cos^{2}(x)\sin^{2}(x)dx
limit as x approaches 0 of x^{3x}	\lim\:_{x\to\:0}(x^{3x})
integral from 1 to 2 of (4+u^2)/(u^3)	\int\:_{1}^{2}\frac{4+u^{2}}{u^{3}}du
(dy}{dx}=\frac{x^2)/y	\frac{dy}{dx}=\frac{x^{2}}{y}
(dx)/(dt)=2(x^2+1),x(pi/4)=1	\frac{dx}{dt}=2(x^{2}+1),x(\frac{π}{4})=1
integral of (x^2-2x-1)/(sqrt(x))	\int\:\frac{x^{2}-2x-1}{\sqrt{x}}dx
laplacetransform e^{1-t}	laplacetransform\:e^{1-t}
xy^'sin^2(y/x)=x+ysin^2(y/x)	xy^{\prime\:}\sin^{2}(\frac{y}{x})=x+y\sin^{2}(\frac{y}{x})
(\partial)/(\partial x)(8y^7cos(8x))	\frac{\partial\:}{\partial\:x}(8y^{7}\cos(8x))
derivative of 1/(b^{2/7)}	derivative\:\frac{1}{b^{\frac{2}{7}}}
limit as x approaches 2 of 3/(x^2-4)	\lim\:_{x\to\:2}(\frac{3}{x^{2}-4})
(dx)/x-y^2dy=0	\frac{dx}{x}-y^{2}dy=0
integral from-4 to 0 of (sqrt(16-x^2))	\int\:_{-4}^{0}(\sqrt{16-x^{2}})dx
derivative of sqrt(x^2+1)+2xe^x	\frac{d}{dx}(\sqrt{x^{2}+1}+2xe^{x})
(\partial)/(\partial x)(7e^{x/y})	\frac{\partial\:}{\partial\:x}(7e^{\frac{x}{y}})
integral of (x^2sin(3x))	\int\:(x^{2}\sin(3x))dx
integral of 1/(x^2sqrt(1-\frac{1){x^2)}}	\int\:\frac{1}{x^{2}\sqrt{1-\frac{1}{x^{2}}}}dx
tangent of y^2=5x^4-x^2,(1,2)	tangent\:y^{2}=5x^{4}-x^{2},(1,2)
limit as x approaches 0 of (e^x-1)/(12x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{12x})
integral of (5sin(x)+2sec(x))/(tan(x))	\int\:\frac{5\sin(x)+2\sec(x)}{\tan(x)}dx
laplacetransform e^{3t}sin(2t)	laplacetransform\:e^{3t}\sin(2t)
integral from 0 to 0.6 of 600x	\int\:_{0}^{0.6}600xdx
integral of 1/500 e^{-1/500 t}	\int\:\frac{1}{500}e^{-\frac{1}{500}t}dt
(\partial)/(\partial y)(8x+6x^2y+2y^2)	\frac{\partial\:}{\partial\:y}(8x+6x^{2}y+2y^{2})
derivative of 1/8	derivative\:\frac{1}{8}
integral of sin(4x)cos(5x)	\int\:\sin(4x)\cos(5x)dx
integral from 1 to 2 of (2-x)^{(-2)/3}	\int\:_{1}^{2}(2-x)^{\frac{-2}{3}}dx
integral of 1/(1-2y)	\int\:\frac{1}{1-2y}dy
d/(dv)((v^3-2vsqrt(v))/v)	\frac{d}{dv}(\frac{v^{3}-2v\sqrt{v}}{v})
derivative of 7e^y	derivative\:7e^{y}
integral of ((x^2))/(sqrt(6x^2-49))	\int\:\frac{(x^{2})}{\sqrt{6x^{2}-49}}dx
derivative of (1-x)cos(2x)	derivative\:(1-x)\cos(2x)
integral of (1-1/(x^2))sqrt(x)	\int\:(1-\frac{1}{x^{2}})\sqrt{x}dx
derivative of (x+y/(sqrt(x^2+y^2)))	\frac{d}{dx}(\frac{x+y}{\sqrt{x^{2}+y^{2}}})
laplacetransform e^{-3t}sin(2t)	laplacetransform\:e^{-3t}\sin(2t)
derivative of (x^2/9)	\frac{d}{dx}(\frac{x^{2}}{9})
y^{''}+4y=2csc^2(2t)	y^{\prime\:\prime\:}+4y=2\csc^{2}(2t)
d/(dy)(2y^2e^{xy^2})	\frac{d}{dy}(2y^{2}e^{xy^{2}})
area y=x^2,y=sqrt(x)	area\:y=x^{2},y=\sqrt{x}
(\partial)/(\partial y)(sin(x^2))	\frac{\partial\:}{\partial\:y}(\sin(x^{2}))
slope ofintercept (0,-14),(-7,0)	slopeintercept\:(0,-14),(-7,0)
integral of (ln(x))x^2	\int\:(\ln(x))x^{2}dx
limit as x approaches 1/2 of x^3-x^2-x+1	\lim\:_{x\to\:\frac{1}{2}}(x^{3}-x^{2}-x+1)
integral from 0 to 3 of x^2-4	\int\:_{0}^{3}x^{2}-4dx
f(t)=3cos(2t)	f(t)=3\cos(2t)
sum from n=0 to infinity of 3^{-n}	\sum\:_{n=0}^{\infty\:}3^{-n}
limit as x approaches-4-of (-5x)/(x+4)	\lim\:_{x\to\:-4-}(\frac{-5x}{x+4})
(dy)/(dx)+1/x y=x^2y^3	\frac{dy}{dx}+\frac{1}{x}y=x^{2}y^{3}
(\partial)/(\partial x)(1/(4-3x))	\frac{\partial\:}{\partial\:x}(\frac{1}{4-3x})
limit as x approaches 0 of ((3^x-5^x))/x	\lim\:_{x\to\:0}(\frac{(3^{x}-5^{x})}{x})
derivative of (ln(2x)^4)	\frac{d}{dx}((\ln(2x))^{4})
integral from 4 to 9 of 6sqrt(x)	\int\:_{4}^{9}6\sqrt{x}dx

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