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Popular Calculus Problems

area x^2+x-2,0	area\:x^{2}+x-2,0
integral of (x^3)/(sqrt(2x^4+1))	\int\:\frac{x^{3}}{\sqrt{2x^{4}+1}}dx
derivative of ln(x^3+1)	derivative\:\ln(x^{3}+1)
limit as x approaches infinity of-1^x	\lim\:_{x\to\:\infty\:}(-1^{x})
limit as x approaches-1 of-x^2	\lim\:_{x\to\:-1}(-x^{2})
derivative of ln(2t)	derivative\:\ln(2t)
integral of 1/(x^2sqrt(x^2+36))	\int\:\frac{1}{x^{2}\sqrt{x^{2}+36}}dx
limit as x approaches 2 of x^3+x^2-5x+1	\lim\:_{x\to\:2}(x^{3}+x^{2}-5x+1)
integral of (x+1)/(sqrt(x^5))	\int\:\frac{x+1}{\sqrt{x^{5}}}dx
x^2y^{''}+2xy^'-20y=0	x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-20y=0
integral of 3/(e^x+2)	\int\:\frac{3}{e^{x}+2}dx
derivative of 3^{5x}	\frac{d}{dx}(3^{5x})
derivative of 9sec(x-pi/2)	\frac{d}{dx}(9\sec(x-\frac{π}{2}))
derivative of x^{10}	derivative\:x^{10}
integral of (x-16)/(x^2+2x-8)	\int\:\frac{x-16}{x^{2}+2x-8}dx
derivative of e^{x^2}+2	\frac{d}{dx}(e^{x^{2}}+2)
integral from-9 to-8 of 1/x	\int\:_{-9}^{-8}\frac{1}{x}dx
x^{'''}+x=0	x^{\prime\:\prime\:\prime\:}+x=0
y^'=-sin(pix)	y^{\prime\:}=-\sin(πx)
derivative of ln(-3x+2)	\frac{d}{dx}(\ln(-3x+2))
integral from 0 to-0.4 of 150x	\int\:_{0}^{-0.4}150xdx
integral of xsin(x/8)	\int\:x\sin(\frac{x}{8})dx
integral of (-1)/(e^{3x)}	\int\:\frac{-1}{e^{3x}}dx
parity ln(cos^x(x))	parity\:\ln(\cos^{x}(x))
integral of ((2x+3))/(x^3+x^2-2x)	\int\:\frac{(2x+3)}{x^{3}+x^{2}-2x}dx
derivative of 2cos(x+sin^2(x))	\frac{d}{dx}(2\cos(x)+\sin^{2}(x))
(\partial)/(\partial x)(\|xy\|^{1/2})	\frac{\partial\:}{\partial\:x}(\left\|xy\right\|^{\frac{1}{2}})
normal of y= 1/x ,(2, 1/2)	normal\:y=\frac{1}{x},(2,\frac{1}{2})
integral of 5x^2-4/x+a	\int\:5x^{2}-\frac{4}{x}+adx
integral of (1-sqrt(x))^2	\int\:(1-\sqrt{x})^{2}dx
integral of (5z^2-3)^3z	\int\:(5z^{2}-3)^{3}zdz
(\partial)/(\partial x)(e^{7y}sin(-7x))	\frac{\partial\:}{\partial\:x}(e^{7y}\sin(-7x))
derivative of 1/(arctan(x))	\frac{d}{dx}(\frac{1}{\arctan(x)})
integral of (2x-40)ln(x-20)	\int\:(2x-40)\ln(x-20)dx
integral of 1/((cos(x)-sin(x))^2)	\int\:\frac{1}{(\cos(x)-\sin(x))^{2}}dx
derivative of (8x/(x^2+3))	\frac{d}{dx}(\frac{8x}{x^{2}+3})
derivative of [f(x^2)]=x^5	\frac{d}{dx}[f(x^{2})]=x^{5}
(\partial)/(\partial x)(x^2+2xy+3y^4)	\frac{\partial\:}{\partial\:x}(x^{2}+2xy+3y^{4})
integral of 1/(xsqrt(x+1))	\int\:\frac{1}{x\sqrt{x+1}}dx
derivative of y=ln(4/(x^3))	derivative\:y=\ln(\frac{4}{x^{3}})
(\partial)/(\partial x)(xcos(1/(x^2+y^2)))	\frac{\partial\:}{\partial\:x}(x\cos(\frac{1}{x^{2}+y^{2}}))
(\partial)/(\partial x)(e^{(x-y)})	\frac{\partial\:}{\partial\:x}(e^{(x-y)})
(\partial)/(\partial x)(x+ycos(y))	\frac{\partial\:}{\partial\:x}(x+y\cos(y))
derivative of (4x^2+2x+2)/(sqrt(x))	derivative\:\frac{4x^{2}+2x+2}{\sqrt{x}}
derivative of x^2-7x+2	\frac{d}{dx}(x^{2}-7x+2)
derivative of 3e^x+5x^2	\frac{d}{dx}(3e^{x}+5x^{2})
3*(dy)/(dx)+5y=1	3\cdot\:\frac{dy}{dx}+5y=1
derivative of-cos(2x)-2sin(2x)(1-x)	derivative\:-\cos(2x)-2\sin(2x)(1-x)
area 1,8,[-0.5x+6],sqrt(x)+2	area\:1,8,[-0.5x+6],\sqrt{x}+2
derivative of (3(1-sin(x))/(2cos(x)))	\frac{d}{dx}(\frac{3(1-\sin(x))}{2\cos(x)})
integral from 2 to 3 of e^x	\int\:_{2}^{3}e^{x}dx
d/(dy)(x+y)	\frac{d}{dy}(x+y)
integral of sin(t)cos(t-x)	\int\:\sin(t)\cos(t-x)dx
integral of xsqrt(10-x^2)	\int\:x\sqrt{10-x^{2}}dx
derivative of 1/6 xe^{3x}	\frac{d}{dx}(\frac{1}{6}xe^{3x})
(\partial)/(\partial x)(1/((1/x+1/y)))	\frac{\partial\:}{\partial\:x}(\frac{1}{(\frac{1}{x}+\frac{1}{y})})
y^'=2y+x^2+9	y^{\prime\:}=2y+x^{2}+9
derivative of (x+1^{x^2})	\frac{d}{dx}((x+1)^{x^{2}})
tangent of f(x)=x^2+ax+2,\at x=1	tangent\:f(x)=x^{2}+ax+2,\at\:x=1
integral of-6ln(x^2-1)	\int\:-6\ln(x^{2}-1)dx
integral of (xcos(4x))	\int\:(x\cos(4x))dx
derivative of (2x+2x^2/((1+2x)^2))	\frac{d}{dx}(\frac{2x+2x^{2}}{(1+2x)^{2}})
derivative of xe^{-x}-e^{-x}	\frac{d}{dx}(xe^{-x}-e^{-x})
limit as x approaches 0 of 1/(3x)	\lim\:_{x\to\:0}(\frac{1}{3x})
xy^'-y=xln(x)	xy^{\prime\:}-y=x\ln(x)
derivative of 4^xx^4	derivative\:4^{x}x^{4}
x(x+1)((dy)/(dx))+xy=1	x(x+1)(\frac{dy}{dx})+xy=1
(x^2+y^2)dx+6xydy=0	(x^{2}+y^{2})dx+6xydy=0
derivative of x+2y	\frac{d}{dx}(x+2y)
(\partial)/(\partial x)(3cos(x+y))	\frac{\partial\:}{\partial\:x}(3\cos(x+y))
limit as x approaches-100 of 3x^2	\lim\:_{x\to\:-100}(3x^{2})
derivative of 2x^2-3x	\frac{d}{dx}(2x^{2}-3x)
limit as x approaches 7 of 1/((x-7)^2)	\lim\:_{x\to\:7}(\frac{1}{(x-7)^{2}})
d/(dy)(1/y e^{xy}-ln(y^2))	\frac{d}{dy}(\frac{1}{y}e^{xy}-\ln(y^{2}))
limit as x approaches-infinity of 2x-3	\lim\:_{x\to\:-\infty\:}(2x-3)
integral of 3x^2+y^2	\int\:3x^{2}+y^{2}dx
limit as x approaches 6 of 1/x	\lim\:_{x\to\:6}(\frac{1}{x})
(dx)/(dt)=x^{1/2}	\frac{dx}{dt}=x^{\frac{1}{2}}
simplify f(5)	simplify\:f(5)
area 5cos(x),5cos(2x),[0,pi]	area\:5\cos(x),5\cos(2x),[0,π]
integral of (cos^5(3x))/(sin^{14)(3x)}	\int\:\frac{\cos^{5}(3x)}{\sin^{14}(3x)}dx
derivative of (x-1)/(x^2)	derivative\:\frac{x-1}{x^{2}}
limit as x approaches 0+of tan(1/x)	\lim\:_{x\to\:0+}(\tan(\frac{1}{x}))
integral of (3y^2-2sin(y))	\int\:(3y^{2}-2\sin(y))dy
expand (5x^6+2x^3)^4	expand\:(5x^{6}+2x^{3})^{4}
parity f(x)=xe^xcsc(x)	parity\:f(x)=xe^{x}\csc(x)
integral from-infinity to 0 of xe^{-x}	\int\:_{-\infty\:}^{0}xe^{-x}dx
tangent of y=sqrt(5x),(5,5)	tangent\:y=\sqrt{5x},(5,5)
derivative of x-x^2	derivative\:x-x^{2}
(4t)^'	(4t)^{\prime\:}
derivative of 3e^{-5x}ln(x)	\frac{d}{dx}(3e^{-5x}\ln(x))
(d^2)/(dx^2)(ax^2+bx+c)	\frac{d^{2}}{dx^{2}}(ax^{2}+bx+c)
limit as x approaches infinity of 0.4^x	\lim\:_{x\to\:\infty\:}(0.4^{x})
d/(da)(tan(a)csc(a))	\frac{d}{da}(\tan(a)\csc(a))
derivative of g(t)=sqrt(1+ln(t))	derivative\:g(t)=\sqrt{1+\ln(t)}
tangent of f(x)=x^3,\at x=4	tangent\:f(x)=x^{3},\at\:x=4
laplacetransform 4t^3-24t+24sin(t)	laplacetransform\:4t^{3}-24t+24\sin(t)
limit as x approaches 1 of-f(x)	\lim\:_{x\to\:1}(-f(x))
integral of sec(x)tan(x)+4x	\int\:\sec(x)\tan(x)+4xdx
(\partial)/(\partial x)(e^{xyz^8})	\frac{\partial\:}{\partial\:x}(e^{xyz^{8}})

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