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Popular Calculus Problems

derivative of 4sec(x-3x)	\frac{d}{dx}(4\sec(x)-3x)
derivative of 20ln(3x+1)-x/3	derivative\:20\ln(3x+1)-\frac{x}{3}
x(x-2)(dy)/(dx)+2y=0	x(x-2)\frac{dy}{dx}+2y=0
derivative of 4x^3+1/(x^2)	\frac{d}{dx}(4x^{3}+\frac{1}{x^{2}})
derivative of ((x+4/(x-4))^5)	\frac{d}{dx}((\frac{x+4}{x-4})^{5})
derivative of 8sin(x-x)	\frac{d}{dx}(8\sin(x)-x)
integral of e^{-xy}sin(x)	\int\:e^{-xy}\sin(x)dx
integral of xsin(3x+1)	\int\:x\sin(3x+1)dx
inverse oflaplace (e^{-pis})/(s^3+s)	inverselaplace\:\frac{e^{-πs}}{s^{3}+s}
y^'=0.5x-450	y^{\prime\:}=0.5x-450
limit as x approaches-1 of (2-5x)/(2+2x)	\lim\:_{x\to\:-1}(\frac{2-5x}{2+2x})
derivative of 3x^5ln(x)	\frac{d}{dx}(3x^{5}\ln(x))
tangent of f(x)=(4x^2)/(x+2)	tangent\:f(x)=\frac{4x^{2}}{x+2}
derivative of (dy/(dx))+4y=2sin(2x)	\frac{d}{dx}(\frac{dy}{dx})+4y=2\sin(2x)
integral of 6/(9+6x)	\int\:\frac{6}{9+6x}dx
limit as h approaches 0 of 2+h	\lim\:_{h\to\:0}(2+h)
derivative of-6x^3	\frac{d}{dx}(-6x^{3})
derivative of ln(sqrt((x+7)/(x-7)))	derivative\:\ln(\sqrt{\frac{x+7}{x-7}})
integral of (x^2+3)/(x^3+2x)	\int\:\frac{x^{2}+3}{x^{3}+2x}dx
derivative of 8/(\sqrt[3]{x})	\frac{d}{dx}(\frac{8}{\sqrt[3]{x}})
integral of 4cos(θ)	\int\:4\cos(θ)dθ
integral of (3x+1)\sqrt[3]{3x^2+2x}	\int\:(3x+1)\sqrt[3]{3x^{2}+2x}dx
integral of (x^3+x^2+x-2)/(x^3-x^2)	\int\:\frac{x^{3}+x^{2}+x-2}{x^{3}-x^{2}}dx
y^'=xy^8	y^{\prime\:}=xy^{8}
tangent of f(x)= 5/(2sqrt(5x+4)),\at x=9	tangent\:f(x)=\frac{5}{2\sqrt{5x+4}},\at\:x=9
implicit (dy)/(dx),x^3+y^3=36	implicit\:\frac{dy}{dx},x^{3}+y^{3}=36
slope of (0,1),(1,-3)	slope\:(0,1),(1,-3)
inverse oflaplace 2/(s^3(s^2+9))	inverselaplace\:\frac{2}{s^{3}(s^{2}+9)}
(dx)/(dt)+2tx=t	\frac{dx}{dt}+2tx=t
derivative of 640(1.06)^t	derivative\:640(1.06)^{t}
derivative of f(x)=2x^2-32	derivative\:f(x)=2x^{2}-32
derivative of ln(1+sin(x))	\frac{d}{dx}(\ln(1+\sin(x)))
derivative of (f(x(6x))^2-2)	\frac{d}{dx}((f(x)(6x))^{2}-2)
limit as x approaches 0+of 2+ln(x)	\lim\:_{x\to\:0+}(2+\ln(x))
derivative of sin(x)*tan(x)	derivative\:\sin(x)\cdot\:\tan(x)
area f(x)=x^5+4,g(x)=x+4	area\:f(x)=x^{5}+4,g(x)=x+4
tangent of f(x)=-1/(2sqrt(1-x)),\at x=-8	tangent\:f(x)=-\frac{1}{2\sqrt{1-x}},\at\:x=-8
f^'(x)=(8x^5-6x^9)/(x^4)	f^{\prime\:}(x)=\frac{8x^{5}-6x^{9}}{x^{4}}
derivative of ln(1+e^{2x})	\frac{d}{dx}(\ln(1+e^{2x}))
integral of pisin(8pix)	\int\:π\sin(8πx)dx
integral of (1/(13x))	\int\:(\frac{1}{13x})dx
integral from 0 to ln(5) of xe^x	\int\:_{0}^{\ln(5)}xe^{x}dx
derivative of 64x-(x^3/3)	\frac{d}{dx}(64x-\frac{x^{3}}{3})
(\partial)/(\partial x)(-3y^3+3x^2y^2-y)	\frac{\partial\:}{\partial\:x}(-3y^{3}+3x^{2}y^{2}-y)
integral of 4-3(1-x^2)^{-1}	\int\:4-3(1-x^{2})^{-1}dx
integral of 3(1+x^2)^{-1}	\int\:3(1+x^{2})^{-1}dx
derivative of e^{15x}	\frac{d}{dx}(e^{15x})
derivative of y=(k(x)^2+x^2)^4(x+k(x))	derivative\:y=(k(x)^{2}+x^{2})^{4}(x+k(x))
(\partial)/(\partial x)(x^2y+yln(xz^3))	\frac{\partial\:}{\partial\:x}(x^{2}y+y\ln(xz^{3}))
integral of 3x^4+7/4 x^5	\int\:3x^{4}+\frac{7}{4}x^{5}dx
derivative of y=2ln(3)+1/2 ln(x^2+1)	derivative\:y=2\ln(3)+\frac{1}{2}\ln(x^{2}+1)
derivative of 2x(4-x^2^{1/2})	\frac{d}{dx}(2x(4-x^{2})^{\frac{1}{2}})
integral of sex^2x	\int\:sex^{2}xdx
integral of ky	\int\:kydy
derivative of (3x^7-7x+11/(2x^3))	\frac{d}{dx}(\frac{3x^{7}-7x+11}{2x^{3}})
(dy)/(dx)=sqrt(y)cos^2(sqrt(y))	\frac{dy}{dx}=\sqrt{y}\cos^{2}(\sqrt{y})
derivative of 5^{cos(x}+ln(x^2+1))	\frac{d}{dx}(5^{\cos(x)}+\ln(x^{2}+1))
integral of (6x)/((x^2+7)^2)	\int\:\frac{6x}{(x^{2}+7)^{2}}dx
integral of 8(x+1)ln(x+1)	\int\:8(x+1)\ln(x+1)dx
integral of w^2sin(10w)	\int\:w^{2}\sin(10w)dw
derivative of 2cos(x-xsin(x))	\frac{d}{dx}(2\cos(x)-x\sin(x))
y^{''}-5y^'+6y=-sin(5t)	y^{\prime\:\prime\:}-5y^{\prime\:}+6y=-\sin(5t)
implicit (dy)/(dx),(6x)/(y^7)=4	implicit\:\frac{dy}{dx},\frac{6x}{y^{7}}=4
(\partial)/(\partial t)(e^tcos(x))	\frac{\partial\:}{\partial\:t}(e^{t}\cos(x))
laplacetransform 20te^{-2t}*sin(4t)	laplacetransform\:20te^{-2t}\cdot\:\sin(4t)
derivative of ln(ln(x))	derivative\:\ln(\ln(x))
limit as x approaches 0+of x/(-3x^3-10x)	\lim\:_{x\to\:0+}(\frac{x}{-3x^{3}-10x})
integral of 2/((x-4)(x^2+2x+6))	\int\:\frac{2}{(x-4)(x^{2}+2x+6)}dx
tangent of f(x)=sqrt(7x+1),(9,8)	tangent\:f(x)=\sqrt{7x+1},(9,8)
integral of 1/(sqrt(5x+4))	\int\:\frac{1}{\sqrt{5x+4}}dx
derivative of-(cos(3x)/3)	\frac{d}{dx}(-\frac{\cos(3x)}{3})
integral of (x+1)sin(3x)	\int\:(x+1)\sin(3x)dx
derivative of ((x+3(x+1))/(x^2-49))	\frac{d}{dx}(\frac{(x+3)(x+1)}{x^{2}-49})
integral from 0 to 1 of xcos(pix)	\int\:_{0}^{1}x\cos(πx)dx
integral of (1+sqrt(cos(x)))^2sin(x)	\int\:(1+\sqrt{\cos(x)})^{2}\sin(x)dx
laplacetransform t^2e^{-2t}sin(3t+30)	laplacetransform\:t^{2}e^{-2t}\sin(3t+30)
(\partial)/(\partial x)(ysqrt(x^2+y^2))	\frac{\partial\:}{\partial\:x}(y\sqrt{x^{2}+y^{2}})
limit as x approaches infinity of 3x^3-1000x^2	\lim\:_{x\to\:\infty\:}(3x^{3}-1000x^{2})
integral of 1/(x^2-2x-3)	\int\:\frac{1}{x^{2}-2x-3}dx
integral of sqrt(121-t^2)	\int\:\sqrt{121-t^{2}}dt
derivative of 7xy	\frac{d}{dx}(7xy)
derivative of arcsec(2x+1)	\frac{d}{dx}(\arcsec(2x+1))
integral from 1 to 9 of (x-1)/(sqrt(x))	\int\:_{1}^{9}\frac{x-1}{\sqrt{x}}dx
limit as x approaches 2 of 3x^2-4x+2	\lim\:_{x\to\:2}(3x^{2}-4x+2)
integral of (u+4)(2u+1)	\int\:(u+4)(2u+1)du
y^{''}-2y^'+2y=cos(t),y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}-2y^{\prime\:}+2y=\cos(t),y(0)=1,y^{\prime\:}(0)=0
derivative of (2x^3/3-8x-5)	\frac{d}{dx}(\frac{2x^{3}}{3}-8x-5)
derivative of (54/x)	\frac{d}{dx}(\frac{54}{x})
limit as x approaches 0 of 5x-6	\lim\:_{x\to\:0}(5x-6)
tangent of sin(3x)+cos(8x)	tangent\:\sin(3x)+\cos(8x)
simplify 1/3 x^6(x^2-3)	simplify\:\frac{1}{3}x^{6}(x^{2}-3)
derivative of (5-2x^{-2})	\frac{d}{dx}((5-2x)^{-2})
derivative of 1+12sqrt(t)	derivative\:1+12\sqrt{t}
(dy)/(dx)-2y=1-2x	\frac{dy}{dx}-2y=1-2x
limit as a approaches-2 of a^2+3m-1	\lim\:_{a\to\:-2}(a^{2}+3m-1)
limit as x approaches 0 of (8x^2-2x)/(2x)	\lim\:_{x\to\:0}(\frac{8x^{2}-2x}{2x})
integral of (2x-sqrt(x))^2	\int\:(2x-\sqrt{x})^{2}dx
integral from 0 to 4 of sqrt(y)	\int\:_{0}^{4}\sqrt{y}dy
integral from-1 to 3 of-x^2	\int\:_{-1}^{3}-x^{2}dx
derivative of 6/(5x^3)	\frac{d}{dx}(\frac{6}{5x^{3}})

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