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Popular Calculus Problems

tangent of f(x)=x^2+1,\at x=2	tangent\:f(x)=x^{2}+1,\at\:x=2
integral of 12-x	\int\:12-xdx
limit as t approaches-1 of 1-2t	\lim\:_{t\to\:-1}(1-2t)
inverse oflaplace 6/(s^2(s^2+8s+1))	inverselaplace\:\frac{6}{s^{2}(s^{2}+8s+1)}
integral of 3x^2-4x+7	\int\:3x^{2}-4x+7dx
area y=2sqrt(x)-x,y=0	area\:y=2\sqrt{x}-x,y=0
integral of xcos^5(x^2)	\int\:x\cos^{5}(x^{2})dx
limit as t approaches 0 of 5tcot(2t)	\lim\:_{t\to\:0}(5t\cot(2t))
inverse oflaplace (e^{-pis})/(s^2+1)	inverselaplace\:\frac{e^{-πs}}{s^{2}+1}
tangent of y=(4x)/((x^2+1))	tangent\:y=\frac{4x}{(x^{2}+1)}
integral of 2/(9x^2-1)	\int\:\frac{2}{9x^{2}-1}dx
derivative of 3+sin(2x)	\frac{d}{dx}(3+\sin(2x))
area x^2-4x,2x	area\:x^{2}-4x,2x
integral of 1+2x	\int\:1+2xdx
laplacetransform 9y	laplacetransform\:9y
integral of (inx^2)/x	\int\:\frac{inx^{2}}{x}dx
limit as t approaches 0 of 3t	\lim\:_{t\to\:0}(3t)
(\partial)/(\partial y)(x^2+3yz+4xy)	\frac{\partial\:}{\partial\:y}(x^{2}+3yz+4xy)
derivative of 3/(x^2+5/(x^4))	\frac{d}{dx}(\frac{3}{x^{2}}+\frac{5}{x^{4}})
f(x)=x^2*ln(x)	f(x)=x^{2}\cdot\:\ln(x)
integral of xe^{-5x}	\int\:xe^{-5x}dx
integral of 6/(sqrt(x))+6sqrt(x)	\int\:\frac{6}{\sqrt{x}}+6\sqrt{x}dx
(-27sin(3x)-27xcos(3x))^'	(-27\sin(3x)-27x\cos(3x))^{\prime\:}
tangent of f(x)=(2x)/(x^2+1),\at x=-1,-1	tangent\:f(x)=\frac{2x}{x^{2}+1},\at\:x=-1,-1
inverse oflaplace (2e^{-s})/((s+1/5))	inverselaplace\:\frac{2e^{-s}}{(s+\frac{1}{5})}
y^{''}-5y^'-14y=0	y^{\prime\:\prime\:}-5y^{\prime\:}-14y=0
(\partial)/(\partial x)(6)	\frac{\partial\:}{\partial\:x}(6)
(\partial)/(\partial y)(3x^2e^y)	\frac{\partial\:}{\partial\:y}(3x^{2}e^{y})
derivative of 9x-2	\frac{d}{dx}(9x-2)
integral of 2e^xsqrt(5+e^x)	\int\:2e^{x}\sqrt{5+e^{x}}dx
(5t+6y+1)dt-dy=0	(5t+6y+1)dt-dy=0
integral of 1/(x^2+4x+8)	\int\:\frac{1}{x^{2}+4x+8}dx
derivative of sqrt(50-x^2)	\frac{d}{dx}(\sqrt{50-x^{2}})
derivative of (3/4 x^4)	\frac{d}{dx}((\frac{3}{4}x)^{4})
limit as x approaches 0 of (3x+1)^{1/x}	\lim\:_{x\to\:0}((3x+1)^{\frac{1}{x}})
(\partial)/(\partial y)(xysin(x))	\frac{\partial\:}{\partial\:y}(xy\sin(x))
(\partial)/(\partial x)(y^4-4xy)	\frac{\partial\:}{\partial\:x}(y^{4}-4xy)
integral of ln(1-x^2)	\int\:\ln(1-x^{2})dx
limit as x approaches-7+of sqrt(x+7)	\lim\:_{x\to\:-7+}(\sqrt{x+7})
(\partial)/(\partial x)(12x^2-9xy+16y^2)	\frac{\partial\:}{\partial\:x}(12x^{2}-9xy+16y^{2})
integral of cos(t)*sin(t)	\int\:\cos(t)\cdot\:\sin(t)dt
integral from-1 to 1 of 15^x	\int\:_{-1}^{1}15^{x}dx
y^{''}+441y=sec(21x)	y^{\prime\:\prime\:}+441y=\sec(21x)
derivative of (x^3/(12)+1/x)	\frac{d}{dx}(\frac{x^{3}}{12}+\frac{1}{x})
integral of (16)/(e^{4x)}	\int\:\frac{16}{e^{4x}}dx
laplacetransform sin(9t)	laplacetransform\:\sin(9t)
integral of (6x^2)/(x^3-5)	\int\:\frac{6x^{2}}{x^{3}-5}dx
derivative of 2x-y	\frac{d}{dx}(2x-y)
derivative of 5x^2*2e^{3x}	\frac{d}{dx}(5x^{2}\cdot\:2e^{3x})
inverse oflaplace (e^{-s})/((s+1))	inverselaplace\:\frac{e^{-s}}{(s+1)}
integral of sin(t-x)	\int\:\sin(t-x)dx
limit as x approaches 0+of coth(x)	\lim\:_{x\to\:0+}(\coth(x))
integral of-4x	\int\:-4xdx
integral of (2x)/(1+x)	\int\:\frac{2x}{1+x}dx
limit as x approaches 2pi of x(csc(x))	\lim\:_{x\to\:2π}(x(\csc(x)))
integral from 0 to 1 of (2x^2+1)	\int\:_{0}^{1}(2x^{2}+1)dx
f(x)=(7-x^3)^{2/3}	f(x)=(7-x^{3})^{\frac{2}{3}}
y^'-y=2x-3	y^{\prime\:}-y=2x-3
area sqrt(x),x-6,x,2	area\:\sqrt{x},x-6,x,2
derivative of xsqrt(x^2+1)	derivative\:x\sqrt{x^{2}+1}
derivative of (pi-x^2)	\frac{d}{dx}((π-x)^{2})
integral of r^2((r^3)/9-8)^2	\int\:r^{2}(\frac{r^{3}}{9}-8)^{2}dr
f^'(x)=(3f(x))/(xln(x))	f^{\prime\:}(x)=\frac{3f(x)}{x\ln(x)}
derivative of (14400/x)	\frac{d}{dx}(\frac{14400}{x})
integral of 5/(x^2+5)	\int\:\frac{5}{x^{2}+5}dx
sum from n=1 to infinity of 6/(n^5)	\sum\:_{n=1}^{\infty\:}\frac{6}{n^{5}}
f(x)=e^{x-2}	f(x)=e^{x-2}
derivative of x^2sqrt(36-x^2)	derivative\:x^{2}\sqrt{36-x^{2}}
x^2dy-2xydx=x^4cos(2x)dx	x^{2}dy-2xydx=x^{4}\cos(2x)dx
derivative of (t+e^t)(6-sqrt(t))	derivative\:(t+e^{t})(6-\sqrt{t})
y^{''}+5y^'+6y=6	y^{\prime\:\prime\:}+5y^{\prime\:}+6y=6
d/(dt)(t^2)	\frac{d}{dt}(t^{2})
derivative of y=e^{-sin(x)}	derivative\:y=e^{-\sin(x)}
q^'+q/(20+t)=1	q^{\prime\:}+\frac{q}{20+t}=1
y^'=x^2 1/y	y^{\prime\:}=x^{2}\frac{1}{y}
derivative of y=x^{2x}	derivative\:y=x^{2x}
derivative of 2+2cos(x)	\frac{d}{dx}(2+2\cos(x))
area y=-x^3+2,y=x-3,x=-1,x=1	area\:y=-x^{3}+2,y=x-3,x=-1,x=1
integral of x/y	\int\:\frac{x}{y}dy
(\partial)/(\partial x)(ln(1+x^2+y))	\frac{\partial\:}{\partial\:x}(\ln(1+x^{2}+y))
derivative of \sqrt[3]{x}(8-x)	\frac{d}{dx}(\sqrt[3]{x}(8-x))
integral of t^3e^{-t}	\int\:t^{3}e^{-t}dt
derivative of f(x)=(x+2)^2e^{-x}	derivative\:f(x)=(x+2)^{2}e^{-x}
limit as x approaches-1 of (2-2)/(x+1)	\lim\:_{x\to\:-1}(\frac{2-2}{x+1})
d/(dt)(-cot(t))	\frac{d}{dt}(-\cot(t))
limit as x approaches 2 of (2x+1)/(5-3x)	\lim\:_{x\to\:2}(\frac{2x+1}{5-3x})
integral of 1/((1-y^2))	\int\:\frac{1}{(1-y^{2})}dy
integral of 6/(x-6)	\int\:\frac{6}{x-6}dx
derivative of (14/((1+e^{-x))})	\frac{d}{dx}(\frac{14}{(1+e^{-x})})
sum from n=2 to infinity of 2/(n^2-1)	\sum\:_{n=2}^{\infty\:}\frac{2}{n^{2}-1}
(dy)/(dx)=3-y	\frac{dy}{dx}=3-y
integral of (x+1)/(x^2-4)	\int\:\frac{x+1}{x^{2}-4}dx
derivative of f(x)=-8/x	derivative\:f(x)=-\frac{8}{x}
limit as x approaches 3 of-2(x-2)^2+4	\lim\:_{x\to\:3}(-2(x-2)^{2}+4)
derivative of-1/2 cos(2x)	derivative\:-\frac{1}{2}\cos(2x)
(x^2)^'	(x^{2})^{\prime\:}
integral of 5e^{-5x}sin(5x)	\int\:5e^{-5x}\sin(5x)dx
derivative of 4pi(3+x)^2	derivative\:4π(3+x)^{2}
tangent of f(x)=(x^2)/(x+7),\at x=1	tangent\:f(x)=\frac{x^{2}}{x+7},\at\:x=1
(d^3)/(dx^3)((2x+5)^7)	\frac{d^{3}}{dx^{3}}((2x+5)^{7})

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