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Popular Calculus Problems

derivative of y(x+1)	\frac{d}{dx}(y(x+1))
integral of (2+x^2)^2	\int\:(2+x^{2})^{2}dx
(\partial)/(\partial x)(sin(xy))	\frac{\partial\:}{\partial\:x}(\sin(xy))
integral from 0 to 4 of xe^{-x}	\int\:_{0}^{4}xe^{-x}dx
area y=x^3,y=8,x=-1	area\:y=x^{3},y=8,x=-1
limit as x approaches 0 of 2^x	\lim\:_{x\to\:0}(2^{x})
derivative of 2x^3ln(10x)	derivative\:2x^{3}\ln(10x)
y^{'''}+y^{''}+24y^'-26y=0	y^{\prime\:\prime\:\prime\:}+y^{\prime\:\prime\:}+24y^{\prime\:}-26y=0
(dy)/(dx)= x/y e^x	\frac{dy}{dx}=\frac{x}{y}e^{x}
(\partial)/(\partial x)(sin(pi(3x-4y)))	\frac{\partial\:}{\partial\:x}(\sin(π(3x-4y)))
derivative of 5/((6x+5^2))	\frac{d}{dx}(\frac{5}{(6x+5)^{2}})
integral from 0 to 8 of 1/(sqrt(64-t^2))	\int\:_{0}^{8}\frac{1}{\sqrt{64-t^{2}}}dt
derivative of f(x)=-1/(x^2)	derivative\:f(x)=-\frac{1}{x^{2}}
area y=-x^2+1,(0,1)	area\:y=-x^{2}+1,(0,1)
derivative of (7x+1)/(2sqrt(x)-3)	derivative\:\frac{7x+1}{2\sqrt{x}-3}
integral from 0 to 1 of x^3ln(x^8)	\int\:_{0}^{1}x^{3}\ln(x^{8})dx
tangent of f(x)=(sqrt(x))/(x+3),\at x=1	tangent\:f(x)=\frac{\sqrt{x}}{x+3},\at\:x=1
derivative of cos^2(4pix)	\frac{d}{dx}(\cos^{2}(4πx))
tangent of f(x)=x^2+2	tangent\:f(x)=x^{2}+2
(dy)/(dt)=y(8-y),y(0)=9	\frac{dy}{dt}=y(8-y),y(0)=9
integral of sec^2(2x)tan^2(2x)	\int\:\sec^{2}(2x)\tan^{2}(2x)dx
sum from n=0 to infinity of (9^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{9^{n}}{n!}
derivative of 3x^2-5	\frac{d}{dx}(3x^{2}-5)
y^'=(5y)/x	y^{\prime\:}=\frac{5y}{x}
tangent of f(x)=2x^2+x,\at x=0	tangent\:f(x)=2x^{2}+x,\at\:x=0
(1+x^2)(e^{2t}dt-e^xdx)-(1+x)=0	(1+x^{2})(e^{2t}dt-e^{x}dx)-(1+x)=0
limit as x approaches pi of x/4-pi/2	\lim\:_{x\to\:π}(\frac{x}{4}-\frac{π}{2})
limit as x approaches 2 of ((x-3))/(x-2)	\lim\:_{x\to\:2}(\frac{(x-3)}{x-2})
integral from-3 to 3 of x/(sqrt(9-x^2))	\int\:_{-3}^{3}\frac{x}{\sqrt{9-x^{2}}}dx
limit as x approaches 0 of (e^{3x}-1)/x	\lim\:_{x\to\:0}(\frac{e^{3x}-1}{x})
limit as x approaches 2 of 1/((2-x)^2)	\lim\:_{x\to\:2}(\frac{1}{(2-x)^{2}})
integral of (s^2)/(s^3+5)	\int\:\frac{s^{2}}{s^{3}+5}ds
derivative of x/(x-1-1/(ln(x)))	\frac{d}{dx}(\frac{x}{x-1}-\frac{1}{\ln(x)})
tangent of y=x^2+3,(-5,28)	tangent\:y=x^{2}+3,(-5,28)
slope of f(x)=x^2+x	slope\:f(x)=x^{2}+x
integral of x^2sqrt(a^2+a^2x^2)	\int\:x^{2}\sqrt{a^{2}+a^{2}x^{2}}dx
derivative of sec(x+tan(x))	\frac{d}{dx}(\sec(x)+\tan(x))
tangent of (13)/x	tangent\:\frac{13}{x}
tangent of f(x)=2x^4-6x^2,\at x=1	tangent\:f(x)=2x^{4}-6x^{2},\at\:x=1
tangent of xy2=2+xy	tangent\:xy2=2+xy
integral from 0 to 1 of 2x^2	\int\:_{0}^{1}2x^{2}dx
integral of 1/(x^2-2x-8)	\int\:\frac{1}{x^{2}-2x-8}dx
area f(x)=x^2-20x,g(x)=0	area\:f(x)=x^{2}-20x,g(x)=0
derivative of ln(1/(sqrt(6x)))	\frac{d}{dx}(\ln(\frac{1}{\sqrt{6x}}))
(ln(1-7x))^'	(\ln(1-7x))^{\prime\:}
laplacetransform 6cos(0.2t)	laplacetransform\:6\cos(0.2t)
integral of 1/(x(ln(x^8))^9)	\int\:\frac{1}{x(\ln(x^{8}))^{9}}dx
integral of cos(x)sin^6(x)	\int\:\cos(x)\sin^{6}(x)dx
derivative of f(x)=7tan(x^4)	derivative\:f(x)=7\tan(x^{4})
2y^'+4y=1	2y^{\prime\:}+4y=1
integral from 0 to 3.5 of 70x	\int\:_{0}^{3.5}70xdx
derivative of ln\|sin(x\|)	\frac{d}{dx}(\ln\left\|\sin(x)\right\|)
derivative of 70pit+35cos((-2pit-pi)/2)	derivative\:70πt+35\cos(\frac{-2πt-π}{2})
integral from 0 to 8 of sin(sqrt(x))	\int\:_{0}^{8}\sin(\sqrt{x})dx
integral of sin(3x)cos(7x)	\int\:\sin(3x)\cos(7x)dx
x^2y^{''}+3xy^'-24y=0,y(1)=3,y^'(1)=-3	x^{2}y^{\prime\:\prime\:}+3xy^{\prime\:}-24y=0,y(1)=3,y^{\prime\:}(1)=-3
(d^2)/(dx^2)(1/x+1/y+xy)	\frac{d^{2}}{dx^{2}}(\frac{1}{x}+\frac{1}{y}+xy)
integral of 1/(1+sin(θ))	\int\:\frac{1}{1+\sin(θ)}dθ
integral of 2x^2-x^3	\int\:2x^{2}-x^{3}dx
(\partial)/(\partial x)(x/(2x^2+2y^2+8))	\frac{\partial\:}{\partial\:x}(\frac{x}{2x^{2}+2y^{2}+8})
limit as x approaches 0 of 1/(2^{1/x)-1}	\lim\:_{x\to\:0}(\frac{1}{2^{\frac{1}{x}}-1})
derivative of sin(5x-2)	\frac{d}{dx}(\sin(5x-2))
integral of in(x+1)	\int\:in(x+1)dx
integral of 1/(z-1)	\int\:\frac{1}{z-1}dz
derivative of (x^3+3)(3x^2-4x+2)	derivative\:(x^{3}+3)(3x^{2}-4x+2)
limit as x approaches 6 of (x+2)/((x+6))	\lim\:_{x\to\:6}(\frac{x+2}{(x+6)})
tangent of f(x)=2-5x^2,(3,-43)	tangent\:f(x)=2-5x^{2},(3,-43)
derivative of (csc(t)+cot(t))^{-1}	derivative\:(\csc(t)+\cot(t))^{-1}
derivative of (x-3e^x)	\frac{d}{dx}((x-3)e^{x})
limit as x approaches 0 of ((tan(x)))/x	\lim\:_{x\to\:0}(\frac{(\tan(x))}{x})
integral from 0 to 1 of x^2-1	\int\:_{0}^{1}x^{2}-1dx
integral of (3x^4+x^5)	\int\:(3x^{4}+x^{5})dx
(1+y^2)dx+xydy=0	(1+y^{2})dx+xydy=0
area x= 7/y ,x= y/9 ,x=9y	area\:x=\frac{7}{y},x=\frac{y}{9},x=9y
limit as x approaches 0 of 2xcot(x)	\lim\:_{x\to\:0}(2x\cot(x))
derivative of ((2x+x^2)/((1+x)^2))	\frac{d}{dx}(\frac{(2x+x^{2})}{(1+x)^{2}})
(dy)/(dx)=y^2(1+x^2)	\frac{dy}{dx}=y^{2}(1+x^{2})
derivative of ln(3-2x)	derivative\:\ln(3-2x)
integral of ((sqrt(x^2+9))/(x^3))	\int\:(\frac{\sqrt{x^{2}+9}}{x^{3}})dx
derivative of 3cos^3(5x)	derivative\:3\cos^{3}(5x)
y^'=(2xy-y^2)/(x^2)	y^{\prime\:}=\frac{2xy-y^{2}}{x^{2}}
d/(dy)(dy)	\frac{d}{dy}(dy)
integral of (x^3)/(3+x)	\int\:\frac{x^{3}}{3+x}dx
integral of (24)/(x(x^2+4)^2)	\int\:\frac{24}{x(x^{2}+4)^{2}}dx
derivative of (ln(x)^9)	\frac{d}{dx}((\ln(x))^{9})
integral of 9e^x	\int\:9e^{x}dx
integral of (9x^2+x+9)/((x^2+1)^2)	\int\:\frac{9x^{2}+x+9}{(x^{2}+1)^{2}}dx
derivative of f(x)=(x+2)/(x-1)	derivative\:f(x)=\frac{x+2}{x-1}
integral of cot^5(θ)sin^4(θ)	\int\:\cot^{5}(θ)\sin^{4}(θ)dθ
limit as x approaches 0 of x^6cos(7/x)	\lim\:_{x\to\:0}(x^{6}\cos(\frac{7}{x}))
derivative of (16cx-4x^2^{1/2})	\frac{d}{dx}((16cx-4x^{2})^{\frac{1}{2}})
limit as x approaches 0 of x^4-(x^3)/3	\lim\:_{x\to\:0}(x^{4}-\frac{x^{3}}{3})
area y=3x^2,y=18x-27,[0,3]	area\:y=3x^{2},y=18x-27,[0,3]
integral of sin^2(x)cos(z)	\int\:\sin^{2}(x)\cos(z)dz
derivative of-\mathbf{7}x^2	\frac{d}{dx}(-\mathbf{7}x^{2})
derivative of f(x)=(3x-1)(x+2)	derivative\:f(x)=(3x-1)(x+2)
derivative of f(x)=6x^3	derivative\:f(x)=6x^{3}
derivative of cos(sqrt(x^2+3))	\frac{d}{dx}(\cos(\sqrt{x^{2}+3}))
limit as x approaches 5 of-12x+7	\lim\:_{x\to\:5}(-12x+7)
slope of y= 3/(x+1),(2,1)	slope\:y=\frac{3}{x+1},(2,1)

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