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Popular Calculus Problems

area y=x-6,y^2=x	area\:y=x-6,y^{2}=x
derivative of tan^2(5x)	derivative\:\tan^{2}(5x)
derivative of ln(10)	derivative\:\ln(10)
derivative of (x+3)^3	derivative\:(x+3)^{3}
area-x+2,4-x^2	area\:-x+2,4-x^{2}
limit as x approaches 0 of x/(sin(x))	\lim\:_{x\to\:0}(\frac{x}{\sin(x)})
integral of y^2cos(x)-sin(x)	\int\:y^{2}\cos(x)-\sin(x)dx
area-5,2,2x^2+3,0	area\:-5,2,2x^{2}+3,0
limit as x approaches 0 of (12^x-5^x)/x	\lim\:_{x\to\:0}(\frac{12^{x}-5^{x}}{x})
derivative of (2x/(sqrt(4x^2+4)))	\frac{d}{dx}(\frac{2x}{\sqrt{4x^{2}+4}})
integral of (6x^3+3x^2)	\int\:(6x^{3}+3x^{2})dx
derivative of ln(sec(x))	derivative\:\ln(\sec(x))
limit as x approaches 0 of x^2cos(6/x)	\lim\:_{x\to\:0}(x^{2}\cos(\frac{6}{x}))
derivative of (1+4x^3(1+2x^2))	\frac{d}{dx}((1+4x^{3})(1+2x^{2}))
(\partial)/(\partial s)(s+2t)	\frac{\partial\:}{\partial\:s}(s+2t)
derivative of 9x^2-x^3	derivative\:9x^{2}-x^{3}
limit as x approaches 3 of (x^2-9)/(x-3)	\lim\:_{x\to\:3}(\frac{x^{2}-9}{x-3})
derivative of f(x)=((x^2-2x-48))/(x+6)	derivative\:f(x)=\frac{(x^{2}-2x-48)}{x+6}
integral of (cos(x))/(3cos(x)-5)	\int\:\frac{\cos(x)}{3\cos(x)-5}dx
tangent of 3sin(x),\at x= pi/4	tangent\:3\sin(x),\at\:x=\frac{π}{4}
y^'+3x^7y^9+y/x =0	y^{\prime\:}+3x^{7}y^{9}+\frac{y}{x}=0
xy^'-2y=-x	xy^{\prime\:}-2y=-x
derivative of (x+1)/x	derivative\:\frac{x+1}{x}
factor 4-t^2	factor\:4-t^{2}
limit as x approaches 2-of 3x^2-12	\lim\:_{x\to\:2-}(3x^{2}-12)
integral of 1/(x^2+c^2)	\int\:\frac{1}{x^{2}+c^{2}}dx
xy^'+y=-6xy^2,y(1)=9	xy^{\prime\:}+y=-6xy^{2},y(1)=9
tangent of f(x)= 1/(sqrt(x)),\at x=4	tangent\:f(x)=\frac{1}{\sqrt{x}},\at\:x=4
integral of sin(x)e^{cos(x)}	\int\:\sin(x)e^{\cos(x)}dx
integral from 0 to 1 of 5x^2	\int\:_{0}^{1}5x^{2}dx
laplacetransform 31	laplacetransform\:31
tangent of y=3x^3-x^2+3,(2,23)	tangent\:y=3x^{3}-x^{2}+3,(2,23)
inverse oflaplace k/((s-4)^3)	inverselaplace\:\frac{k}{(s-4)^{3}}
derivative of sin^2(3x^2-1)	\frac{d}{dx}(\sin^{2}(3x^{2}-1))
laplacetransform te^{-2t}cos(3t)	laplacetransform\:te^{-2t}\cos(3t)
integral of 1/(sqrt(x^2-0.01))	\int\:\frac{1}{\sqrt{x^{2}-0.01}}dx
integral of (x^3)/(1+x)	\int\:\frac{x^{3}}{1+x}dx
y^{''}-y^'-2y=-6t+4t^2	y^{\prime\:\prime\:}-y^{\prime\:}-2y=-6t+4t^{2}
integral from-2 to 4 of \|-2x+4\|	\int\:_{-2}^{4}\left\|-2x+4\right\|dx
y^'-2/x y=0	y^{\prime\:}-\frac{2}{x}y=0
(\partial)/(\partial x)((7x^2)/((x-y)^2))	\frac{\partial\:}{\partial\:x}(\frac{7x^{2}}{(x-y)^{2}})
integral from 1 to t of 3/(x^3)	\int\:_{1}^{t}\frac{3}{x^{3}}dx
integral of 1/(9x^2+4)	\int\:\frac{1}{9x^{2}+4}dx
integral from-x to x of t^3	\int\:_{-x}^{x}t^{3}dt
derivative of 2x^3-4x+5	\frac{d}{dx}(2x^{3}-4x+5)
derivative of t/(t-1)	derivative\:\frac{t}{t-1}
(1+cos(t))y^'=(1+e-y)sin(t)	(1+\cos(t))y^{\prime\:}=(1+e-y)\sin(t)
y^{''}+4y=8tan(2x)	y^{\prime\:\prime\:}+4y=8\tan(2x)
y^{''}+2y=-18x^2e^{2x}	y^{\prime\:\prime\:}+2y=-18x^{2}e^{2x}
integral from 1 to 0 of-9sqrt(x)	\int\:_{1}^{0}-9\sqrt{x}dx
y^{''}-4y^'-12y=te^{4t}	y^{\prime\:\prime\:}-4y^{\prime\:}-12y=te^{4t}
integral from-2 to 2 of 1/2 (4^2-x^4)	\int\:_{-2}^{2}\frac{1}{2}(4^{2}-x^{4})dx
integral from 0 to 1 of sqrt(1+3x)	\int\:_{0}^{1}\sqrt{1+3x}dx
laplacetransform-3sin(3t)	laplacetransform\:-3\sin(3t)
derivative of sin^{-2}(x)	\frac{d}{dx}(\sin^{-2}(x))
limit as x approaches 6+of 1/(x-6)	\lim\:_{x\to\:6+}(\frac{1}{x-6})
integral of 1/((x+4)^2(x-2))	\int\:\frac{1}{(x+4)^{2}(x-2)}dx
maclaurin tan(x)	maclaurin\:\tan(x)
integral of (e^{2x}cos(e^x))	\int\:(e^{2x}\cos(e^{x}))dx
integral from 0 to 10 of (2200e^{0.024t}-1460e^{0.018t})	\int\:_{0}^{10}(2200e^{0.024t}-1460e^{0.018t})dt
(\partial)/(\partial x)(4e^xln(y))	\frac{\partial\:}{\partial\:x}(4e^{x}\ln(y))
integral of sqrt(11x)ln(x)	\int\:\sqrt{11x}\ln(x)dx
f(x)=-2/(x^3)	f(x)=-\frac{2}{x^{3}}
integral of (1-x^2)^{-0.5}	\int\:(1-x^{2})^{-0.5}dx
expand-z/(e^{z+1)(z-1)^2}	expand\:-\frac{z}{e^{z+1}(z-1)^{2}}
simplify t^{-1}	simplify\:t^{-1}
derivative of x^3+2	\frac{d}{dx}(x^{3}+2)
limit as x approaches 0 of (e^{-4x}-1)/x	\lim\:_{x\to\:0}(\frac{e^{-4x}-1}{x})
integral from 0 to 4 of 1/(sqrt(16+x^2))	\int\:_{0}^{4}\frac{1}{\sqrt{16+x^{2}}}dx
derivative of 2cos(2x-2sin(2x))	\frac{d}{dx}(2\cos(2x)-2\sin(2x))
derivative of ln\|1+x-x^3\|	\frac{d}{dx}(\ln\left\|1+x-x^{3}\right\|)
integral of 1/(xsqrt(1+x^n))	\int\:\frac{1}{x\sqrt{1+x^{n}}}dx
limit as x approaches infinity of (a)^x	\lim\:_{x\to\:\infty\:}((a)^{x})
y^'+3x^2y=sin(x)e^{-x^3},y(0)=1	y^{\prime\:}+3x^{2}y=\sin(x)e^{-x^{3}},y(0)=1
derivative of x^3b^5+y^4b+z^6	derivative\:x^{3}b^{5}+y^{4}b+z^{6}
integral from 0 to 10 of 100e^{0.1x}	\int\:_{0}^{10}100e^{0.1x}dx
y^{''}-2y^'-3y=-3xe^{-x}	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=-3xe^{-x}
limit as x approaches 0 of x^3cos(1/x)	\lim\:_{x\to\:0}(x^{3}\cos(\frac{1}{x}))
tangent of-5x^{1/2}+x^{3/2}	tangent\:-5x^{\frac{1}{2}}+x^{\frac{3}{2}}
derivative of f(x)=xx	derivative\:f(x)=xx
derivative of f(x)=x-1	derivative\:f(x)=x-1
(\partial}{\partial x}(sin(\frac{2y)/x))	\frac{\partial\:}{\partial\:x}(\sin(\frac{2y}{x}))
(dy)/(dx)=(x+y)^2	\frac{dy}{dx}=(x+y)^{2}
integral from 0 to H of (3x-4)^{23}	\int\:_{0}^{H}(3x-4)^{23}dx
integral of 1/(sec^4(x))	\int\:\frac{1}{\sec^{4}(x)}dx
slope of (4.4)(2.4)	slope\:(4.4)(2.4)
integral of (sin(sqrt(x)))/x	\int\:\frac{\sin(\sqrt{x})}{x}dx
integral of cos(pi/2)x	\int\:\cos(\frac{π}{2})xdx
limit as x approaches 2 of 5-x^3	\lim\:_{x\to\:2}(5-x^{3})
derivative of (tan(x-4)/(sec(x)))	\frac{d}{dx}(\frac{\tan(x)-4}{\sec(x)})
(\partial)/(\partial x)(e^{-5x})	\frac{\partial\:}{\partial\:x}(e^{-5x})
derivative of 2ln(cos(x))	derivative\:2\ln(\cos(x))
4y^{''}=y	4y^{\prime\:\prime\:}=y
y^'=-3y	y^{\prime\:}=-3y
derivative of ln(2x-y)	\frac{d}{dx}(\ln(2x-y))
derivative of (x^3/6)	\frac{d}{dx}(\frac{x^{3}}{6})
y^{''}+9y=18	y^{\prime\:\prime\:}+9y=18
sum from n=1 to infinity of (15n!)/(n^n)	\sum\:_{n=1}^{\infty\:}\frac{15n!}{n^{n}}
(\partial)/(\partial x)(2x+3y+6xye^{3x^2y})	\frac{\partial\:}{\partial\:x}(2x+3y+6xye^{3x^{2}y})
limit as x approaches-1 of-6	\lim\:_{x\to\:-1}(-6)

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