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Popular Calculus Problems

derivative of (2x^2-4x+3/(2-3x))	\frac{d}{dx}(\frac{2x^{2}-4x+3}{2-3x})
integral of f(r)	\int\:f(r)dr
integral of t/(t^4+6)	\int\:\frac{t}{t^{4}+6}dt
integral of (x^4)/(3-x^5)	\int\:\frac{x^{4}}{3-x^{5}}dx
derivative of (ax+b/(ax-b))	\frac{d}{dx}(\frac{ax+b}{ax-b})
tangent of f(x)=x^2+4,(3,13)	tangent\:f(x)=x^{2}+4,(3,13)
integral of e^{-x}	\int\:e^{-x}dx
(\partial)/(\partial x)(ln(2))	\frac{\partial\:}{\partial\:x}(\ln(2))
area 32-2x^2,[0,7]	area\:32-2x^{2},[0,7]
limit as x approaches 0 of ((x^3))/(tan^3(2x))	\lim\:_{x\to\:0}(\frac{(x^{3})}{\tan^{3}(2x)})
integral from 1 to 5 of 1/(x^2)	\int\:_{1}^{5}\frac{1}{x^{2}}dx
integral of (3x^2+1)	\int\:(3x^{2}+1)dx
derivative of 1/((x-1))	derivative\:\frac{1}{(x-1)}
integral of (x^2+2x)e^{x^3+3x^2-1}	\int\:(x^{2}+2x)e^{x^{3}+3x^{2}-1}dx
tangent of f(x)=(x-1)^2+1,\at x=-1	tangent\:f(x)=(x-1)^{2}+1,\at\:x=-1
area f(x)=-10x+5,(1,2)	area\:f(x)=-10x+5,(1,2)
integral of x^2sqrt(4x^2+1)	\int\:x^{2}\sqrt{4x^{2}+1}dx
limit as x approaches 3 of (x^2)/x	\lim\:_{x\to\:3}(\frac{x^{2}}{x})
derivative of (sin(3x+1)/(7x^2+1))	\frac{d}{dx}(\frac{\sin(3x+1)}{7x^{2}+1})
integral of (12x)/(sqrt(1-x^4))	\int\:\frac{12x}{\sqrt{1-x^{4}}}dx
derivative of f(x)= x/(x-2)	derivative\:f(x)=\frac{x}{x-2}
integral of 1/(3t-1)	\int\:\frac{1}{3t-1}dt
limit as n approaches infinity of (3n^2+7n+11)/(8n^2-5n+3)	\lim\:_{n\to\:\infty\:}(\frac{3n^{2}+7n+11}{8n^{2}-5n+3})
integral of 4x+6	\int\:4x+6dx
integral of 5/(xsqrt(1-25ln^2(x)))	\int\:\frac{5}{x\sqrt{1-25\ln^{2}(x)}}dx
integral of 1/(2x+x^2)	\int\:\frac{1}{2x+x^{2}}dx
integral of 2/(x^3+1)	\int\:\frac{2}{x^{3}+1}dx
integral of e^{3x}x+e^x	\int\:e^{3x}x+e^{x}dx
integral of x/(27x^2-1)	\int\:\frac{x}{27x^{2}-1}dx
limit as x approaches 0+of-x+3	\lim\:_{x\to\:0+}(-x+3)
(d^2y)/(dx^2)+25y=0	\frac{d^{2}y}{dx^{2}}+25y=0
limit as x approaches 1-of (1-x)/(1+x)	\lim\:_{x\to\:1-}(\frac{1-x}{1+x})
derivative of (8x^2+8x+6)/(sqrt(x))	derivative\:\frac{8x^{2}+8x+6}{\sqrt{x}}
derivative of x^{0.15}	\frac{d}{dx}(x^{0.15})
integral from 2 to infinity of e^{-6x}	\int\:_{2}^{\infty\:}e^{-6x}dx
y^{''}-10y^'+25y=30x+3	y^{\prime\:\prime\:}-10y^{\prime\:}+25y=30x+3
tangent of f(x)= 3/(x+5),\at x=2	tangent\:f(x)=\frac{3}{x+5},\at\:x=2
(\partial)/(\partial y)(-x-sin(y^2))	\frac{\partial\:}{\partial\:y}(-x-\sin(y^{2}))
integral of x^3(x-1)^{-4}	\int\:x^{3}(x-1)^{-4}dx
inverse oflaplace (s^4)/s	inverselaplace\:\frac{s^{4}}{s}
derivative of f(x)=sqrt(3x^2+3x+4)	derivative\:f(x)=\sqrt{3x^{2}+3x+4}
tangent of-x^2+6x	tangent\:-x^{2}+6x
derivative of 8/(1+x)	\frac{d}{dx}(\frac{8}{1+x})
f(x)=ln(tan(x))	f(x)=\ln(\tan(x))
(dx)/(dt)=(6x^2+tsqrt(t^2+x^2))/(6tx)	\frac{dx}{dt}=\frac{6x^{2}+t\sqrt{t^{2}+x^{2}}}{6tx}
integral from 0 to 3 of (-x^3+3x^2-2)	\int\:_{0}^{3}(-x^{3}+3x^{2}-2)dx
integral of (3/(x^5))	\int\:(\frac{3}{x^{5}})dx
derivative of e^{-7x}cos(7x)	\frac{d}{dx}(e^{-7x}\cos(7x))
tangent of y=2x^2+5,(-1,7)	tangent\:y=2x^{2}+5,(-1,7)
derivative of f(x)=x^2e^x-2xe^x+2e^x	derivative\:f(x)=x^{2}e^{x}-2xe^{x}+2e^{x}
integral of tan^4(5t)	\int\:\tan^{4}(5t)dt
integral of (1+3x)/((1-x)(3x-5))	\int\:\frac{1+3x}{(1-x)(3x-5)}dx
integral of e^{7t}	\int\:e^{7t}dt
tangent of y=5+5x^2-2x^3,(2,9)	tangent\:y=5+5x^{2}-2x^{3},(2,9)
(dy)/(dx)=y-y^3	\frac{dy}{dx}=y-y^{3}
slope ofintercept (0,-2),(-2,-2)	slopeintercept\:(0,-2),(-2,-2)
limit as x approaches 0 of 2cos(2x)	\lim\:_{x\to\:0}(2\cos(2x))
limit as x approaches 4-of 6/(x-4)	\lim\:_{x\to\:4-}(\frac{6}{x-4})
tangent of x^2+7	tangent\:x^{2}+7
derivative of cos(xcot(x))	\frac{d}{dx}(\cos(x)\cot(x))
integral of sqrt(a^2-x^2)	\int\:\sqrt{a^{2}-x^{2}}dx
laplacetransform e^{-2t}cos(4t)	laplacetransform\:e^{-2t}\cos(4t)
area x=5-5y^2,x=5y^2-5	area\:x=5-5y^{2},x=5y^{2}-5
derivative of (tan(-1(7x))2)	\frac{d}{dx}((\tan(-1(7x)))2)
derivative of (x^4/(1-x^3))	\frac{d}{dx}(\frac{x^{4}}{1-x^{3}})
(dy)/(dx)=(x*y^2)/((x^2+1))	\frac{dy}{dx}=\frac{x\cdot\:y^{2}}{(x^{2}+1)}
derivative of 2/(xsqrt(x))	derivative\:\frac{2}{x\sqrt{x}}
limit as x approaches infinity of x(2)	\lim\:_{x\to\:\infty\:}(x(2))
derivative of 3Ae^{3x}	\frac{d}{dx}(3Ae^{3x})
area 4sin(x),4cos(2x),[-pi/2 , pi/6 ]	area\:4\sin(x),4\cos(2x),[-\frac{π}{2},\frac{π}{6}]
(\partial)/(\partial x)(sin(3x))	\frac{\partial\:}{\partial\:x}(\sin(3x))
tangent of (5x-3)^4(2x-7)^{-3}	tangent\:(5x-3)^{4}(2x-7)^{-3}
(\partial)/(\partial y)(0.2y-7)	\frac{\partial\:}{\partial\:y}(0.2y-7)
derivative of 0.35(sin(x))	derivative\:0.35(\sin(x))
(\partial)/(\partial r)(2rs)	\frac{\partial\:}{\partial\:r}(2rs)
integral of cos(1/2)y	\int\:\cos(\frac{1}{2})ydy
derivative of (x+ln(x)/x)	\frac{d}{dx}(\frac{x+\ln(x)}{x})
integral of sec(x)(cos(x)+tan(x))	\int\:\sec(x)(\cos(x)+\tan(x))dx
inverse oflaplace 1/(1+s+s^2)	inverselaplace\:\frac{1}{1+s+s^{2}}
derivative of 5xsin(xcos(x))	\frac{d}{dx}(5x\sin(x)\cos(x))
integral of (3-x)	\int\:(3-x)dx
integral from 0 to sqrt(ln(pi) of)2xe^{x^2}cos(e^{x^2})	\int\:_{0}^{\sqrt{\ln(π)}}2xe^{x^{2}}\cos(e^{x^{2}})dx
limit as x approaches-6-of x^2+2/(x+6)	\lim\:_{x\to\:-6-}(x^{2}+\frac{2}{x+6})
(\partial)/(\partial x)(sqrt(1+2x))	\frac{\partial\:}{\partial\:x}(\sqrt{1+2x})
area 9-x^2,x	area\:9-x^{2},x
f(t)=1+t^2	f(t)=1+t^{2}
integral of ((1-x)^3)/((x^3sqrt(x)))	\int\:\frac{(1-x)^{3}}{(x^{3}\sqrt{x})}dx
laplacetransform 3-2t+4cos(2t)	laplacetransform\:3-2t+4\cos(2t)
derivative of xcos^2(x)	\frac{d}{dx}(x\cos^{2}(x))
limit as x approaches 1+of 5/(x^2-1)	\lim\:_{x\to\:1+}(\frac{5}{x^{2}-1})
integral of 1/(1+2x)	\int\:\frac{1}{1+2x}dx
limit as x approaches 3 of 4x	\lim\:_{x\to\:3}(4x)
limit as x approaches 3 of 5x^3-4x^2+x-6	\lim\:_{x\to\:3}(5x^{3}-4x^{2}+x-6)
derivative of (ax^2+bx+ce^{-x/2})	\frac{d}{dx}((ax^{2}+bx+c)e^{-\frac{x}{2}})
(d^4)/(dx^4)(e^{6/x})	\frac{d^{4}}{dx^{4}}(e^{\frac{6}{x}})
derivative of f(x)=ln(16sin^2(x))	derivative\:f(x)=\ln(16\sin^{2}(x))
derivative of (2x^3-x^2+6x+1^3)	\frac{d}{dx}((2x^{3}-x^{2}+6x+1)^{3})
derivative of sqrt(x^2-9)	derivative\:\sqrt{x^{2}-9}
integral from 0 to 6 of sqrt(6x+64)	\int\:_{0}^{6}\sqrt{6x+64}dx
integral of x/((x+1))	\int\:\frac{x}{(x+1)}dx

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