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Popular Calculus Problems

integral of y-2	\int\:y-2dy
integral of kx	\int\:kxdx
integral of (20x)/(sqrt(5x^2-6))	\int\:\frac{20x}{\sqrt{5x^{2}-6}}dx
tangent of f(x)= 1/(sqrt(5x))	tangent\:f(x)=\frac{1}{\sqrt{5x}}
integral of (x-2)^3ln(x-2)	\int\:(x-2)^{3}\ln(x-2)dx
y^{''}+y^'=ax^2+bx^3	y^{\prime\:\prime\:}+y^{\prime\:}=a\cdot\:x^{2}+b\cdot\:x^{3}
integral of 6y	\int\:6ydy
derivative of f(x)=sqrt(8)	derivative\:f(x)=\sqrt{8}
integral of te^t	\int\:te^{t}dt
integral of x/(x^4+1)	\int\:\frac{x}{x^{4}+1}dx
integral of (4x)/((2x^2-7)^{10)}	\int\:\frac{4x}{(2x^{2}-7)^{10}}dx
tangent of f(x)=x^4-4x^2,\at x=1	tangent\:f(x)=x^{4}-4x^{2},\at\:x=1
integral of sqrt(25-y^2)	\int\:\sqrt{25-y^{2}}dy
(dy)/(dx)+xy=0	\frac{dy}{dx}+xy=0
integral of x/(x^2-5x+6)	\int\:\frac{x}{x^{2}-5x+6}dx
tangent of f(x)=3cot^4(x),\at x= pi/4	tangent\:f(x)=3\cot^{4}(x),\at\:x=\frac{π}{4}
derivative of cos(2x-1*tan(1-2x))	\frac{d}{dx}(\cos(2x-1)\cdot\:\tan(1-2x))
integral of 3x(2-3x^2)	\int\:3x(2-3x^{2})dx
integral of x^2cos(9x)	\int\:x^{2}\cos(9x)dx
(\partial)/(\partial x)(xyze^{x^2+y^2+z^2})	\frac{\partial\:}{\partial\:x}(xyze^{x^{2}+y^{2}+z^{2}})
integral of xsqrt(4a^2-x^2)	\int\:x\sqrt{4a^{2}-x^{2}}dx
(\partial)/(\partial y)(x^2+y^2+z^2+xy)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{2}+z^{2}+xy)
laplacetransform e^{-3t}sin(4t)	laplacetransform\:e^{-3t}\sin(4t)
derivative of f(x)=6\sqrt[3]{x}	derivative\:f(x)=6\sqrt[3]{x}
integral of (sqrt(25-4x^2))/x	\int\:\frac{\sqrt{25-4x^{2}}}{x}dx
integral of cot^3(3x)csc^5(3x)	\int\:\cot^{3}(3x)\csc^{5}(3x)dx
derivative of \sqrt[4]{(e^{5x}/(x^2+1)})	\frac{d}{dx}(\sqrt[4]{\frac{e^{5x}}{x^{2}+1}})
limit as n approaches infinity of sin((npi)/2)	\lim\:_{n\to\:\infty\:}(\sin(\frac{nπ}{2}))
integral of 9/(x^2sqrt(x^2+36))	\int\:\frac{9}{x^{2}\sqrt{x^{2}+36}}dx
limit as x approaches 4-of (\|x-4\|)/(x-4)	\lim\:_{x\to\:4-}(\frac{\left\|x-4\right\|}{x-4})
integral of xae^{-ax}	\int\:xae^{-ax}dx
integral of 9/(x(ln(x))^2)	\int\:\frac{9}{x(\ln(x))^{2}}dx
limit as x approaches 0 of x(cot(2x))	\lim\:_{x\to\:0}(x(\cot(2x)))
area sqrt(x),x^2	area\:\sqrt{x},x^{2}
sum from n=0 to infinity of 5/(4^n)	\sum\:_{n=0}^{\infty\:}\frac{5}{4^{n}}
integral from 0 to 4 of (13-t)sqrt(t)	\int\:_{0}^{4}(13-t)\sqrt{t}dt
derivative of y=t^2+5cos(t)	derivative\:y=t^{2}+5\cos(t)
(dy)/(dx)sin(x+y)=0	\frac{dy}{dx}\sin(x+y)=0
integral of (sec(x)+cos(x))/(4cos(x))	\int\:\frac{\sec(x)+\cos(x)}{4\cos(x)}dx
limit as x approaches 0 of x*log_{2}(x)	\lim\:_{x\to\:0}(x\cdot\:\log_{2}(x))
area 2x-1, 1/x ,x=3	area\:2x-1,\frac{1}{x},x=3
derivative of 4x^3+x+5sin(x)	\frac{d}{dx}(4x^{3}+x+5\sin(x))
integral of 2+3x^2-8x^3	\int\:2+3x^{2}-8x^{3}dx
tangent of f(x)=-4-3x^2,(2,-16)	tangent\:f(x)=-4-3x^{2},(2,-16)
integral from-45 to 0 of 1/(sqrt(4-x))	\int\:_{-45}^{0}\frac{1}{\sqrt{4-x}}dx
integral of (6x^2-3x+3)	\int\:(6x^{2}-3x+3)dx
derivative of cos(2-3x)	\frac{d}{dx}(\cos(2-3x))
(dy)/(dx)=9-y/(6x+250)	\frac{dy}{dx}=9-\frac{y}{6x+250}
derivative of 9x^4+6x^3+1	\frac{d}{dx}(9x^{4}+6x^{3}+1)
integral of ln(sqrt(x)+sqrt(1+x))	\int\:\ln(\sqrt{x}+\sqrt{1+x})dx
integral of sqrt(x)(x^2-1/x)	\int\:\sqrt{x}(x^{2}-\frac{1}{x})dx
derivative of f(x)=(3x-7)/(5x-2)	derivative\:f(x)=\frac{3x-7}{5x-2}
area y=20-x,y=sqrt(x),y=1	area\:y=20-x,y=\sqrt{x},y=1
y^{''}+19y=0	y^{\prime\:\prime\:}+19y=0
integral from 0 to pi/2 of tan^2(x)	\int\:_{0}^{\frac{π}{2}}\tan^{2}(x)dx
(\partial)/(\partial y)(1+x^2)	\frac{\partial\:}{\partial\:y}(1+x^{2})
derivative of arctan(x/4)	derivative\:\arctan(\frac{x}{4})
limit as x approaches 0 of 2sin(x)ln(x)	\lim\:_{x\to\:0}(2\sin(x)\ln(x))
limit as x approaches 2 of x^2+2x+1	\lim\:_{x\to\:2}(x^{2}+2x+1)
integral of t(ln(t))^2	\int\:t(\ln(t))^{2}dt
derivative of arcsin(1/t)	derivative\:\arcsin(\frac{1}{t})
derivative of sin(4x-5)	\frac{d}{dx}(\sin(4x-5))
tangent of f(x)=(x^2+36)(2x+21),\at x=-4	tangent\:f(x)=(x^{2}+36)(2x+21),\at\:x=-4
derivative of f(x)=-4x^2	derivative\:f(x)=-4x^{2}
limit as x approaches 0 of (sin(4x)cos(3x))/(7x)	\lim\:_{x\to\:0}(\frac{\sin(4x)\cos(3x)}{7x})
implicit (dy)/(dx),5cos(xy)=6x+7y	implicit\:\frac{dy}{dx},5\cos(xy)=6x+7y
integral of cos^4(3t)	\int\:\cos^{4}(3t)dt
integral from-pi to pi of x	\int\:_{-π}^{π}xdx
(d^2y)/(dx^2)+5(dy)/(dx)+6y=12e^x	\frac{d^{2}y}{dx^{2}}+5\frac{dy}{dx}+6y=12e^{x}
y^'+100y=0	y^{\prime\:}+100y=0
sum from n=1 to infinity of 2^n*3^{-n}	\sum\:_{n=1}^{\infty\:}2^{n}\cdot\:3^{-n}
integral of sqrt(6x+5)	\int\:\sqrt{6x+5}dx
limit as h approaches 0 of 6x+3h	\lim\:_{h\to\:0}(6x+3h)
derivative of 1+sqrt(2x)	\frac{d}{dx}(1+\sqrt{2x})
integral of 2/(v^2)	\int\:\frac{2}{v^{2}}dv
(sin^3(x))^'	(\sin^{3}(x))^{\prime\:}
((ln(x))^2)^'	((\ln(x))^{2})^{\prime\:}
integral of (14)/(x^2-1)	\int\:\frac{14}{x^{2}-1}dx
integral of 4sin^5(x)cos(x)	\int\:4\sin^{5}(x)\cos(x)dx
integral from 1 to 4 of-4sqrt(t)ln(t)	\int\:_{1}^{4}-4\sqrt{t}\ln(t)dt
derivative of sin(x^4)	derivative\:\sin(x^{4})
derivative of y=9^{5^{x^2}}	derivative\:y=9^{5^{x^{2}}}
area y=2,y=2sin(x),[0, pi/2 ]	area\:y=2,y=2\sin(x),[0,\frac{π}{2}]
(e^{3t})^'	(e^{3t})^{\prime\:}
integral of (3t^4-t^3+6t^2)/(t^4)	\int\:\frac{3t^{4}-t^{3}+6t^{2}}{t^{4}}dt
csc(y)dx+sec^2(x)dy=0	\csc(y)dx+\sec^{2}(x)dy=0
integral of 1/(a+bsqrt(x))	\int\:\frac{1}{a+b\sqrt{x}}dx
limit as x approaches 0 of (cot(x))/x	\lim\:_{x\to\:0}(\frac{\cot(x)}{x})
tangent of y=3-2x^2,(-4,-29)	tangent\:y=3-2x^{2},(-4,-29)
derivative of g(x)=3x^4	derivative\:g(x)=3x^{4}
derivative of f(x)=x^3+5x+7	derivative\:f(x)=x^{3}+5x+7
integral from 1 to e of ln(13x)	\int\:_{1}^{e}\ln(13x)dx
integral of e^{1-8t}	\int\:e^{1-8t}dt
(\partial)/(\partial u)(1/4 (u-v))	\frac{\partial\:}{\partial\:u}(\frac{1}{4}(u-v))
f(x)=(5^{4x^3}+e^{2x^3})/(12)	f(x)=\frac{5^{4x^{3}}+e^{2x^{3}}}{12}
integral of 9x^2e^{2x}	\int\:9x^{2}e^{2x}dx
derivative of 2/(sqrt(4x-3))	\frac{d}{dx}(\frac{2}{\sqrt{4x-3}})
derivative of f(x)=(1300+8x-0.0004x^2)/x	derivative\:f(x)=\frac{1300+8x-0.0004x^{2}}{x}
integral of ((1+sin(x))/(cos^2(x)))	\int\:(\frac{1+\sin(x)}{\cos^{2}(x)})dx
limit as x approaches infinity of ((x+1)/(x+3))^{x/5}	\lim\:_{x\to\:\infty\:}((\frac{x+1}{x+3})^{\frac{x}{5}})

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