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Popular Calculus Problems

(2y+3x)dx+xdy=0	(2y+3x)dx+xdy=0
integral of (2+x^6)^86x^5	\int\:(2+x^{6})^{8}6x^{5}dx
integral of ((x^3-6x+5)/x)	\int\:(\frac{x^{3}-6x+5}{x})dx
derivative of tan(Inx)	\frac{d}{dx}(\tan(Inx))
derivative of (2x+1/(sqrt(3)))	\frac{d}{dx}(\frac{2x+1}{\sqrt{3}})
integral of x^{-8}(x+1)	\int\:x^{-8}(x+1)dx
derivative of (sin(8x))/(13x)	derivative\:\frac{\sin(8x)}{13x}
derivative of 48x(4x^2+9)^5	derivative\:48x(4x^{2}+9)^{5}
derivative of (t^2-4t)(t^2+4t)	derivative\:(t^{2}-4t)(t^{2}+4t)
(x+1)^2y^'+5(x+1)y=16	(x+1)^{2}y^{\prime\:}+5(x+1)y=16
sum from i=1 to infinity of 1/(i^2)	\sum\:_{i=1}^{\infty\:}\frac{1}{i^{2}}
integral of e^{-2ax}	\int\:e^{-2ax}dx
integral of ((x^2+2x-3)/(x^4))	\int\:(\frac{x^{2}+2x-3}{x^{4}})dx
area x=e^y,y=0,x=1,x=e^2	area\:x=e^{y},y=0,x=1,x=e^{2}
integral of e^{-2x^2}x	\int\:e^{-2x^{2}}xdx
integral of (x^3)/(\sqrt[3]{x^2+7)}	\int\:\frac{x^{3}}{\sqrt[3]{x^{2}+7}}dx
integral of 12e^x	\int\:12e^{x}dx
(6tdy)/(dt)+y=t^6	\frac{6tdy}{dt}+y=t^{6}
derivative of sin(3)	\frac{d}{dx}(\sin(3))
limit as x approaches 0+of 1/(x^{3/2)}	\lim\:_{x\to\:0+}(\frac{1}{x^{\frac{3}{2}}})
(dp)/((p-2))=(1-2t)dt	\frac{dp}{(p-2)}=(1-2t)dt
(dx)/(dt)=0.03x+3600t	\frac{dx}{dt}=0.03x+3600t
derivative of 2/(3x+5)	derivative\:\frac{2}{3x+5}
derivative of (5x/(x+4))	\frac{d}{dx}(\frac{5x}{x+4})
integral from-4 to 4 of (3-\|x\|)	\int\:_{-4}^{4}(3-\left\|x\right\|)dx
tangent of y=(x^2+4)^{2/3},\at x=2	tangent\:y=(x^{2}+4)^{\frac{2}{3}},\at\:x=2
derivative of y=5ln(4x^2+1)	derivative\:y=5\ln(4x^{2}+1)
integral of te^{4t}	\int\:te^{4t}dt
integral of 8/((16x^2+1)^2)	\int\:\frac{8}{(16x^{2}+1)^{2}}dx
(\partial)/(\partial y)(e^{xyz^6}yz^6)	\frac{\partial\:}{\partial\:y}(e^{xyz^{6}}yz^{6})
maclaurin sqrt(1-x)	maclaurin\:\sqrt{1-x}
y^{''}+8y^'+16y=1521e^{2t}cos(9t)	y^{\prime\:\prime\:}+8y^{\prime\:}+16y=1521e^{2t}\cos(9t)
laplacetransform cos^2(1t)	laplacetransform\:\cos^{2}(1t)
tangent of f(x)= 1/(x-1),\at x=5	tangent\:f(x)=\frac{1}{x-1},\at\:x=5
derivative of (ln(x)/(x^3))	\frac{d}{dx}(\frac{\ln(x)}{x^{3}})
y^'=2xy+x	y^{\prime\:}=2xy+x
derivative of (2x-1^{3/2})	\frac{d}{dx}((2x-1)^{\frac{3}{2}})
derivative of e^{7x}(7x-1)^8	derivative\:e^{7x}(7x-1)^{8}
sum from n=1 to infinity of 6/(sqrt(n))	\sum\:_{n=1}^{\infty\:}\frac{6}{\sqrt{n}}
sum from n=1 to infinity of 1/(n^{7/2)}	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{\frac{7}{2}}}
y^{''}+28y=0	y^{\prime\:\prime\:}+28y=0
integral of (y^2)/8	\int\:\frac{y^{2}}{8}dy
derivative of xsin(3/x)	derivative\:x\sin(\frac{3}{x})
integral of e^{16x^2}	\int\:e^{16x^{2}}dx
integral from-1 to x^2 of (-2t+2)	\int\:_{-1}^{x^{2}}(-2t+2)dt
tangent of 5/x	tangent\:\frac{5}{x}
derivative of 1/(e^y)	derivative\:\frac{1}{e^{y}}
normal of y=(-2y+x+2)/(2y-x+4),(-3,-1)	normal\:y=\frac{-2y+x+2}{2y-x+4},(-3,-1)
f(x)=-sin(3x)*3	f(x)=-\sin(3x)\cdot\:3
(\partial)/(\partial z)(-yz)	\frac{\partial\:}{\partial\:z}(-yz)
limit as x approaches-1-of 1/(x^2-1)	\lim\:_{x\to\:-1-}(\frac{1}{x^{2}-1})
integral of 8x+7	\int\:8x+7dx
limit as x approaches 0 of (2^x-1)/x	\lim\:_{x\to\:0}(\frac{2^{x}-1}{x})
integral of (5/x-3e^x)	\int\:(\frac{5}{x}-3e^{x})dx
maclaurin (1+x^2)^{3/2}	maclaurin\:(1+x^{2})^{\frac{3}{2}}
derivative of (6x/((x^2-1)^2))	\frac{d}{dx}(\frac{6x}{(x^{2}-1)^{2}})
(\partial)/(\partial x)((3xy-2)^2)	\frac{\partial\:}{\partial\:x}((3xy-2)^{2})
integral from 4 to 9 of sqrt(x)	\int\:_{4}^{9}\sqrt{x}dx
f(x)=sin(x)+xcos(x)	f(x)=\sin(x)+x\cos(x)
derivative of f(x)=sqrt(x)+3	derivative\:f(x)=\sqrt{x}+3
ty^'+4y=t^2-t+1	ty^{\prime\:}+4y=t^{2}-t+1
derivative of f(x)= 1/(x^5)	derivative\:f(x)=\frac{1}{x^{5}}
integral of 3xcos(x)	\int\:3x\cos(x)dx
(dy)/(dx)+20y=24	\frac{dy}{dx}+20y=24
area \|4x\|,x^2-5	area\:\left\|4x\right\|,x^{2}-5
area x^2,3x	area\:x^{2},3x
y^{''}+2y^'+y=sin(x)+9cos(2x)	y^{\prime\:\prime\:}+2y^{\prime\:}+y=\sin(x)+9\cos(2x)
integral of sqrt(1+sin^2(x))	\int\:\sqrt{1+\sin^{2}(x)}dx
limit as x approaches-2 of x	\lim\:_{x\to\:-2}(x)
(\partial)/(\partial x)(e^{x*z})	\frac{\partial\:}{\partial\:x}(e^{x\cdot\:z})
integral of 1/2 e^{2x+1}	\int\:\frac{1}{2}e^{2x+1}dx
tangent of xsqrt(x)	tangent\:x\sqrt{x}
limit as y approaches-2 of y^3(5-3y^2)	\lim\:_{y\to\:-2}(y^{3}(5-3y^{2}))
y^'= y/x+e^{-y/x}	y^{\prime\:}=\frac{y}{x}+e^{-\frac{y}{x}}
integral from 0 to 2 of k(2-x)	\int\:_{0}^{2}k(2-x)
y^'+tan(x)y=cos(x)	y^{\prime\:}+\tan(x)y=\cos(x)
integral of x^2+7e^x+C	\int\:x^{2}+7e^{x}+Cdx
y^{''}+2y^'=1	y^{\prime\:\prime\:}+2y^{\prime\:}=1
y^{''}-10y^'+25y=((-3e^{5x}))/((x^2+1))	y^{\prime\:\prime\:}-10y^{\prime\:}+25y=\frac{(-3e^{5x})}{(x^{2}+1)}
derivative of-2+7/(4x)	\frac{d}{dx}(-2+\frac{7}{4x})
integral of (3x+2)^{1/2}	\int\:(3x+2)^{\frac{1}{2}}dx
integral of 7/(1+x^2)	\int\:\frac{7}{1+x^{2}}dx
limit as x approaches 3 of x^2+5	\lim\:_{x\to\:3}(x^{2}+5)
inverse oflaplace ((s-5))/((s^2+4s+20))	inverselaplace\:\frac{(s-5)}{(s^{2}+4s+20)}
y^'+8y=56	y^{\prime\:}+8y=56
limit as x approaches-2+of 1/((x+2)^2)	\lim\:_{x\to\:-2+}(\frac{1}{(x+2)^{2}})
integral from 0 to pi/3 of tan(x)	\int\:_{0}^{\frac{π}{3}}\tan(x)dx
integral from-2 to 2 of \|x^2-1\|	\int\:_{-2}^{2}\left\|x^{2}-1\right\|dx
integral of 4xsqrt(x^2+2x)	\int\:4x\sqrt{x^{2}+2x}dx
derivative of ln(3x^2+2x-1)	\frac{d}{dx}(\ln(3x^{2}+2x-1))
derivative of y=sin^5(2x+1)	derivative\:y=\sin^{5}(2x+1)
derivative of f(x)=-csc(x)-sin(x)	derivative\:f(x)=-\csc(x)-\sin(x)
derivative of \sqrt[3]{x^2+x+1}	\frac{d}{dx}(\sqrt[3]{x^{2}+x+1})
integral from 1 to e^3 of (ln^2(x^2))/x	\int\:_{1}^{e^{3}}\frac{\ln^{2}(x^{2})}{x}dx
laplacetransform e^{t-2}	laplacetransform\:e^{t-2}
derivative of ln(1-1/(x^2))	\frac{d}{dx}(\ln(1-\frac{1}{x^{2}}))
(\partial)/(\partial x)(acos^2(2pi)(t-x))	\frac{\partial\:}{\partial\:x}(a\cos^{2}(2π)(t-x))
tangent of (x^2)/(x-5)	tangent\:\frac{x^{2}}{x-5}
derivative of f(x)=x^2+7	derivative\:f(x)=x^{2}+7
derivative of x^{0.1}	\frac{d}{dx}(x^{0.1})

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