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Popular Calculus Problems

integral of e^2x	\int\:e^{2}xdx
y^'= 2/3 xsqrt(1-9y^2)	y^{\prime\:}=\frac{2}{3}x\sqrt{1-9y^{2}}
inverse oflaplace (e^{-2s})/(s(s+1.1))	inverselaplace\:\frac{e^{-2s}}{s(s+1.1)}
integral from 0 to 1 of xsin(pix)	\int\:_{0}^{1}x\sin(πx)dx
(\partial)/(\partial u)(2cos(u))	\frac{\partial\:}{\partial\:u}(2\cos(u))
derivative of x/(sqrt(2x-1))	derivative\:\frac{x}{\sqrt{2x-1}}
(dy)/(dx)=xy+3x+4y+12	\frac{dy}{dx}=xy+3x+4y+12
integral of ln(3x-2)	\int\:\ln(3x-2)dx
integral of x^3+sin(x)	\int\:x^{3}+\sin(x)dx
derivative of (sin(x)/(sqrt(x)))	\frac{d}{dx}(\frac{\sin(x)}{\sqrt{x}})
integral of xcos(x^2+5)	\int\:x\cos(x^{2}+5)dx
integral of (y-3)/(y-2)	\int\:\frac{y-3}{y-2}dy
y^'=(x+y)^2-1	y^{\prime\:}=(x+y)^{2}-1
tan(f(x))(x)=-4x+1/2 x-5,\at x=1	\tan(f(x))(x)=-4x+\frac{1}{2}x-5,\at\:x=1
(\partial)/(\partial x)(3x^{2y})	\frac{\partial\:}{\partial\:x}(3x^{2y})
derivative of s(t)=-9.8t^2+2t+1	derivative\:s(t)=-9.8t^{2}+2t+1
derivative of y=(2x+3)^5+10x(2x+3)^4	derivative\:y=(2x+3)^{5}+10x(2x+3)^{4}
integral of ex^2+pi	\int\:ex^{2}+πdx
f(x)=arcsin^2(x)	f(x)=\arcsin^{2}(x)
limit as x approaches 0+of 6sin(x)ln(x)	\lim\:_{x\to\:0+}(6\sin(x)\ln(x))
integral of (x^8+1)/(sqrt(x^9+9x))	\int\:\frac{x^{8}+1}{\sqrt{x^{9}+9x}}dx
laplacetransform 4^t	laplacetransform\:4^{t}
implicit (dy)/(dx),y= 6/(\sqrt[3]{x^2+5)}	implicit\:\frac{dy}{dx},y=\frac{6}{\sqrt[3]{x^{2}+5}}
derivative of 4/(x+6)	\frac{d}{dx}(\frac{4}{x+6})
tangent of f(x)=-4tan(x)-1,\at x=-pi/4	tangent\:f(x)=-4\tan(x)-1,\at\:x=-\frac{π}{4}
derivative of-9/x	derivative\:-\frac{9}{x}
tangent of f(x)=x^3-3x+1,(3,19)	tangent\:f(x)=x^{3}-3x+1,(3,19)
integral of x/(4x^2-4x+5)	\int\:\frac{x}{4x^{2}-4x+5}dx
derivative of f(x)=-6e^{-6x}	derivative\:f(x)=-6e^{-6x}
3x^2y^{''}+7xy^'+y=0	3x^{2}y^{\prime\:\prime\:}+7xy^{\prime\:}+y=0
y^'+2y=x^2	y^{\prime\:}+2y=x^{2}
integral of 1/((3x-1)^2)	\int\:\frac{1}{(3x-1)^{2}}dx
integral of (100x^4+1)ln(x)	\int\:(100x^{4}+1)\ln(x)dx
derivative of (x^2-4/(x-2))	\frac{d}{dx}(\frac{x^{2}-4}{x-2})
derivative of ln(x^3+6x^2)	\frac{d}{dx}(\ln(x^{3}+6x^{2}))
(\partial)/(\partial x)((w^Te^{-w^Tx})/((1+e^{-w^Tx))^2})	\frac{\partial\:}{\partial\:x}(\frac{w^{T}e^{-w^{T}x}}{(1+e^{-w^{T}x})^{2}})
integral of 1/(x^3sqrt(x^2-64))	\int\:\frac{1}{x^{3}\sqrt{x^{2}-64}}dx
area x^2+2x+1,-3,0	area\:x^{2}+2x+1,-3,0
tangent of f(x)=-4x^2-3x+2,\at x=-1	tangent\:f(x)=-4x^{2}-3x+2,\at\:x=-1
integral from 1 to 3 of x^2(2.25)/(x^3)	\int\:_{1}^{3}x^{2}\frac{2.25}{x^{3}}dx
integral of (3x+1)^5	\int\:(3x+1)^{5}dx
d/(dθ)(5/(9sin(θ)+7cos(θ)))	\frac{d}{dθ}(\frac{5}{9\sin(θ)+7\cos(θ)})
derivative of 3(e^x+xe^x)	\frac{d}{dx}(3(e^{x}+xe^{x}))
integral of-9tan^3(x)	\int\:-9\tan^{3}(x)dx
integral from 0 to pi of sec^2(pi/3)	\int\:_{0}^{π}\sec^{2}(\frac{π}{3})dx
integral of ((x+1))/(x^2+7x+10)	\int\:\frac{(x+1)}{x^{2}+7x+10}dx
(dr)/(dθ)=(r+e^{-θ})tan(θ)	\frac{dr}{dθ}=(r+e^{-θ})\tan(θ)
derivative of (sin(x)^{cos(x)})	\frac{d}{dx}((\sin(x))^{\cos(x)})
derivative of x^4(x^2-2x^2)	\frac{d}{dx}(x^{4}(x^{2}-2x)^{2})
integral of (x^3-5x)^5(3x^2-5)	\int\:(x^{3}-5x)^{5}(3x^{2}-5)dx
derivative of (5x^2)	\frac{d}{dx}((5x)^{2})
inverse oflaplace (20)/s	inverselaplace\:\frac{20}{s}
(\partial)/(\partial x)(2/(x^2))	\frac{\partial\:}{\partial\:x}(\frac{2}{x^{2}})
limit as θ approaches 0 of (tan(θ))/θ	\lim\:_{θ\to\:0}(\frac{\tan(θ)}{θ})
derivative of x^2-5x+6	\frac{d}{dx}(x^{2}-5x+6)
tangent of f(x)=(8x)/(x^2+1),\at x=-1	tangent\:f(x)=\frac{8x}{x^{2}+1},\at\:x=-1
derivative of In(x^3)	\frac{d}{dx}(In(x^{3}))
derivative of (x^2+x^3*(3x^4-x^3))	\frac{d}{dx}((x^{2}+x^{3})\cdot\:(3x^{4}-x^{3}))
limit as x approaches 0 of 1/0	\lim\:_{x\to\:0}(\frac{1}{0})
derivative of-5cos(cos(x^6))	\frac{d}{dx}(-5\cos(\cos(x^{6})))
limit as x approaches 0 of-1/x	\lim\:_{x\to\:0}(-\frac{1}{x})
integral of (48x^2)/(x^4-74x^2+1225)	\int\:\frac{48x^{2}}{x^{4}-74x^{2}+1225}dx
inverse oflaplace-1/s	inverselaplace\:-\frac{1}{s}
limit as x approaches 0 of sqrt(1-x^2)	\lim\:_{x\to\:0}(\sqrt{1-x^{2}})
limit as x approaches (3pi)/2 of sec(x)	\lim\:_{x\to\:\frac{3π}{2}}(\sec(x))
derivative of arccos(sqrt(x))	derivative\:\arccos(\sqrt{x})
derivative of (x-a^3(x-b))	\frac{d}{dx}((x-a)^{3}(x-b))
derivative of 3x^2cos(3x)	derivative\:3x^{2}\cos(3x)
integral of x^4cos(x^5)	\int\:x^{4}\cos(x^{5})dx
integral from 0 to 4 of 2/(sqrt(x))	\int\:_{0}^{4}\frac{2}{\sqrt{x}}dx
integral of (7e^{9x})	\int\:(7e^{9x})dx
derivative of 5^{tan(5x)}	derivative\:5^{\tan(5x)}
integral of e^{-2x}sin(4x)	\int\:e^{-2x}\sin(4x)dx
integral of (-4x)/(2x+1)	\int\:\frac{-4x}{2x+1}dx
derivative of ln(xe^{-6x})	derivative\:\ln(xe^{-6x})
integral of (xe^{5x})/((5x+1)^2)	\int\:\frac{xe^{5x}}{(5x+1)^{2}}dx
maclaurin cos^2(x)	maclaurin\:\cos^{2}(x)
integral of sin(pit)cos(pit)	\int\:\sin(πt)\cos(πt)dt
derivative of 16e^{4x}	\frac{d}{dx}(16e^{4x})
inverse oflaplace f(t)=7t+3	inverselaplace\:f(t)=7t+3
derivative of 1500x+3000(4x+3)^{-1}-1000	derivative\:1500x+3000(4x+3)^{-1}-1000
integral of (x^2-2)(x^3-6x)^{207}	\int\:(x^{2}-2)(x^{3}-6x)^{207}dx
limit as x approaches 2 of 3x^2	\lim\:_{x\to\:2}(3x^{2})
slope of y= 1/x	slope\:y=\frac{1}{x}
(\partial)/(\partial x)(x^2*y^2)	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:y^{2})
integral of (ln(2x))/x	\int\:\frac{\ln(2x)}{x}dx
integral of 5sin^4(x)cos(x)	\int\:5\sin^{4}(x)\cos(x)dx
tangent of 4x^2+y^2=25,(2,3)	tangent\:4x^{2}+y^{2}=25,(2,3)
(2y^2+3x)dx+4xydy=0	(2y^{2}+3x)dx+4xydy=0
derivative of f(x)=4cos(2x)	derivative\:f(x)=4\cos(2x)
laplacetransform 2e^{-t}cos(4t)1(t)	laplacetransform\:2e^{-t}\cos(4t)1(t)
(\partial)/(\partial y)(sin(xy)+xycos(xy))	\frac{\partial\:}{\partial\:y}(\sin(xy)+xy\cos(xy))
limit as x approaches 0 of (e^{2x-1})/(tan(x))	\lim\:_{x\to\:0}(\frac{e^{2x-1}}{\tan(x)})
laplacetransform 4e^{2t}	laplacetransform\:4e^{2t}
derivative of (4-xe^x)/(x+e^x)	derivative\:\frac{4-xe^{x}}{x+e^{x}}
inverse oflaplace (50)/(100s+0.01s^2)	inverselaplace\:\frac{50}{100s+0.01s^{2}}
implicit (dy)/(dx),x^2=((3x+5y))/(3x-5y)	implicit\:\frac{dy}{dx},x^{2}=\frac{(3x+5y)}{3x-5y}
limit as x approaches-2+of (x+1)/(x^2+2)	\lim\:_{x\to\:-2+}(\frac{x+1}{x^{2}+2})
integral of csc(7x)	\int\:\csc(7x)dx
integral from 0 to pi/2 of 4cos(x/2)	\int\:_{0}^{\frac{π}{2}}4\cos(\frac{x}{2})dx

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