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Popular Calculus Problems

derivative of (3600)/x	derivative\:\frac{3600}{x}
integral from 0 to 1 of (7y)/(e^{2y)}	\int\:_{0}^{1}\frac{7y}{e^{2y}}dy
integral of sin(2x)cos(2x)tan(2x)	\int\:\sin(2x)\cos(2x)\tan(2x)dx
derivative of 2sin^3(t)	derivative\:2\sin^{3}(t)
limit as x approaches-6 of ((x^2-36))/(x+6)	\lim\:_{x\to\:-6}(\frac{(x^{2}-36)}{x+6})
derivative of sqrt(4x-16)	derivative\:\sqrt{4x-16}
integral of 4/(x^3)	\int\:\frac{4}{x^{3}}dx
derivative of ln(t+1)	derivative\:\ln(t+1)
(\partial)/(\partial x)(7ln((3xy)/(7z)))	\frac{\partial\:}{\partial\:x}(7\ln(\frac{3xy}{7z}))
derivative of arcsin(9x^5)	\frac{d}{dx}(\arcsin(9x^{5}))
(dy)/(dx)=(9x)/(10y)	\frac{dy}{dx}=\frac{9x}{10y}
integral of 5cot^3(x)	\int\:5\cot^{3}(x)dx
integral of (17xe^{2x})/((1+2x)^2)	\int\:\frac{17xe^{2x}}{(1+2x)^{2}}dx
integral of sin(3x)cos(4x)	\int\:\sin(3x)\cos(4x)dx
integral of sqrt(7x+4)	\int\:\sqrt{7x+4}dx
derivative of sin^4(3x)	\frac{d}{dx}(\sin^{4}(3x))
integral of sin^4(2x)cos^2(2x)	\int\:\sin^{4}(2x)\cos^{2}(2x)dx
integral of 3sin(5x)	\int\:3\sin(5x)dx
d/(dt)((tan(t))/(cos(t)-4))	\frac{d}{dt}(\frac{\tan(t)}{\cos(t)-4})
integral from 0 to pi/2 of 20cos^5(x)	\int\:_{0}^{\frac{π}{2}}20\cos^{5}(x)dx
derivative of 2x^3-3x^2-12x+5	\frac{d}{dx}(2x^{3}-3x^{2}-12x+5)
derivative of y=(cos(x))/(x^5)	derivative\:y=\frac{\cos(x)}{x^{5}}
derivative of U(x)=-0.04x^2+240x-10000	derivative\:U(x)=-0.04x^{2}+240x-10000
y^'=t-ty	y^{\prime\:}=t-ty
f(x)=(ln(x))/(x^2)	f(x)=\frac{\ln(x)}{x^{2}}
integral of 27arctan(sqrt(x))	\int\:27\arctan(\sqrt{x})dx
tangent of y=sin(2x)+sin^2(2x),(0,0)	tangent\:y=\sin(2x)+\sin^{2}(2x),(0,0)
derivative of y=arccos(sqrt(x))	derivative\:y=\arccos(\sqrt{x})
integral of 5te^{5t}	\int\:5te^{5t}dt
integral of (e^{5x})/(e^{5x)+9}	\int\:\frac{e^{5x}}{e^{5x}+9}dx
laplacetransform 10cos(t-pi/6)	laplacetransform\:10\cos(t-\frac{π}{6})
integral from 0 to pi of 13cos^6(x)	\int\:_{0}^{π}13\cos^{6}(x)dx
slope of (4,-3),(-2,7)	slope\:(4,-3),(-2,7)
integral of 1/((4x-x^2)^{3/2)}	\int\:\frac{1}{(4x-x^{2})^{\frac{3}{2}}}dx
laplacetransform te^{-3t}sin(5t)	laplacetransform\:te^{-3t}\sin(5t)
laplacetransform i(t)	laplacetransform\:i(t)
integral of 1/((x^2+9)^{3/2)}	\int\:\frac{1}{(x^{2}+9)^{\frac{3}{2}}}dx
integral of cos(4t)	\int\:\cos(4t)dt
derivative of (-x^3+4x^2)^3	derivative\:(-x^{3}+4x^{2})^{3}
integral of 1/(a+bx^2)	\int\:\frac{1}{a+bx^{2}}dx
integral of (sin(x))^2cos(x)	\int\:(\sin(x))^{2}\cos(x)dx
(\partial)/(\partial x)(x^8y^5-x^7y^4)	\frac{\partial\:}{\partial\:x}(x^{8}y^{5}-x^{7}y^{4})
(2x+ycos(xy))dx+xcos(xy)dy=0	(2x+y\cos(xy))dx+x\cos(xy)dy=0
integral of 1/((x+4)^3)	\int\:\frac{1}{(x+4)^{3}}dx
d/(dt)(sin^4(t))	\frac{d}{dt}(\sin^{4}(t))
derivative of f(x)=6x^2e^{6x}+2xe^{6x}	derivative\:f(x)=6x^{2}e^{6x}+2xe^{6x}
integral of ln(1+x)	\int\:\ln(1+x)dx
derivative of ln(x^2+3x+5)	\frac{d}{dx}(\ln(x^{2}+3x+5))
derivative of x/(sqrt(81+x^2))	\frac{d}{dx}(\frac{x}{\sqrt{81+x^{2}}})
limit as x approaches 0 of x^4cos(3/x)	\lim\:_{x\to\:0}(x^{4}\cos(\frac{3}{x}))
d/(dt)(sinh(t))	\frac{d}{dt}(\sinh(t))
derivative of 47x^3-75sqrt(x)	\frac{d}{dx}(47x^{3}-75\sqrt{x})
integral of 1/(64e^{-6x)+e^{6x}}	\int\:\frac{1}{64e^{-6x}+e^{6x}}dx
2y^'+5y=4	2y^{\prime\:}+5y=4
integral of cos(npi x/2)	\int\:\cos(nπ\frac{x}{2})dx
integral of 1/(cos^2(θ))	\int\:\frac{1}{\cos^{2}(θ)}dθ
derivative of e^{7x^2}	\frac{d}{dx}(e^{7x^{2}})
derivative of 10arccot(x)	\frac{d}{dx}(10\arccot(x))
integral of (-x)/(sqrt(4-x^2))	\int\:\frac{-x}{\sqrt{4-x^{2}}}dx
integral of (sec^2(3)sqrt(t))/(sqrt(t))	\int\:\frac{\sec^{2}(3)\sqrt{t}}{\sqrt{t}}dt
limit as x approaches 1 of x^2+5x-6	\lim\:_{x\to\:1}(x^{2}+5x-6)
(\partial)/(\partial y)(xsin(y))	\frac{\partial\:}{\partial\:y}(x\sin(y))
derivative of 15e^{x^2}	derivative\:15e^{x^{2}}
derivative of at^m+bt^{m+n}	\frac{d}{dx}(at^{m}+bt^{m+n})
integral of 8/(x^4)	\int\:\frac{8}{x^{4}}dx
limit as x approaches infinity of 5/(2x)	\lim\:_{x\to\:\infty\:}(\frac{5}{2x})
derivative of cos(3x^2+1)	\frac{d}{dx}(\cos(3x^{2}+1))
tangent of-(4x)/(x^2+1)	tangent\:-\frac{4x}{x^{2}+1}
derivative of xe^{kx}	\frac{d}{dx}(xe^{kx})
derivative of y=7^{5x+4}	derivative\:y=7^{5x+4}
integral of e^{-x}cos(4x)	\int\:e^{-x}\cos(4x)dx
limit as x approaches infinity of 5+6/x	\lim\:_{x\to\:\infty\:}(5+\frac{6}{x})
2y^{''}-4y^'+8y=0	2y^{\prime\:\prime\:}-4y^{\prime\:}+8y=0
(dq)/(dt)=kq^2	\frac{dq}{dt}=kq^{2}
derivative of 21x+x^2	\frac{d}{dx}(21x+x^{2})
derivative of sqrt(e^{2x)}	\frac{d}{dx}(\sqrt{e^{2x}})
derivative of x^3-6x^2+12x	\frac{d}{dx}(x^{3}-6x^{2}+12x)
integral of 1/((a^2+x^2)^{3/2)}	\int\:\frac{1}{(a^{2}+x^{2})^{\frac{3}{2}}}dx
(d^2)/(dx^2)(2csc(x))	\frac{d^{2}}{dx^{2}}(2\csc(x))
integral of 1/(x(2x+1))	\int\:\frac{1}{x(2x+1)}dx
derivative of ((2x-3^{-3})/((2-3x)^2))	\frac{d}{dx}(\frac{(2x-3)^{-3}}{(2-3x)^{2}})
limit as x approaches 0 of (x^4+1)/(x^2)	\lim\:_{x\to\:0}(\frac{x^{4}+1}{x^{2}})
integral of sin^5(8x)	\int\:\sin^{5}(8x)dx
derivative of-9sin(x)	\frac{d}{dx}(-9\sin(x))
limit as h approaches 1/2 of (8h^3-1)/(1-2h)	\lim\:_{h\to\:\frac{1}{2}}(\frac{8h^{3}-1}{1-2h})
derivative of 8/(tan^3(x/2))	derivative\:\frac{8}{\tan^{3}(\frac{x}{2})}
derivative of (-6x)/(x^2+1)	derivative\:\frac{-6x}{x^{2}+1}
derivative of f(x)=4x^3-18x^2	derivative\:f(x)=4x^{3}-18x^{2}
limit as x approaches-1 of x^5-1	\lim\:_{x\to\:-1}(x^{5}-1)
derivative of 6pix^2	\frac{d}{dx}(6πx^{2})
integral of (1+2t^3)/t	\int\:\frac{1+2t^{3}}{t}dt
y^{''}=a^2y	y^{\prime\:\prime\:}=a^{2}y
area 4-x,-2,6	area\:4-x,-2,6
y^'=-y/2	y^{\prime\:}=-\frac{y}{2}
integral of sqrt(4+9x^2)	\int\:\sqrt{4+9x^{2}}dx
derivative of f(x)=arccsc(3x)	derivative\:f(x)=\arccsc(3x)
derivative of y=6^x	derivative\:y=6^{x}
derivative of-0.9x^2+1.7x+2.5	\frac{d}{dx}(-0.9x^{2}+1.7x+2.5)
integral of 1/(x^2+5x)	\int\:\frac{1}{x^{2}+5x}dx
integral of-cot(x)csc(x)	\int\:-\cot(x)\csc(x)dx

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