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Popular Calculus Problems

integral of (2/(5x))	\int\:(\frac{2}{5x})dx
(e^{7e^x})^'	(e^{7e^{x}})^{\prime\:}
area (16)/(1+x^4),8x^2	area\:\frac{16}{1+x^{4}},8x^{2}
integral from 2 to 8 of x/(x^2+6x+13)	\int\:_{2}^{8}\frac{x}{x^{2}+6x+13}dx
derivative of f(x)= 1/(4x^2)	derivative\:f(x)=\frac{1}{4x^{2}}
integral of x^3y^2	\int\:x^{3}y^{2}dy
integral of 1/(xsqrt(4+x^2))	\int\:\frac{1}{x\sqrt{4+x^{2}}}dx
y^'=ky	y^{\prime\:}=ky
y^{''}-y^'-2y=4x^2,y(0)=-1,y^'(0)=1	y^{\prime\:\prime\:}-y^{\prime\:}-2y=4x^{2},y(0)=-1,y^{\prime\:}(0)=1
limit as x approaches 16 of sqrt(4x)	\lim\:_{x\to\:16}(\sqrt{4x})
integral from 0 to 5 of pi((20-4x)/5)^2	\int\:_{0}^{5}π(\frac{20-4x}{5})^{2}dx
integral of 3u	\int\:3udu
slope ofintercept (8.1)(24.9)	slopeintercept\:(8.1)(24.9)
x^2y^'=y^2+xy	x^{2}y^{\prime\:}=y^{2}+xy
slope of (3,3),(-3,-1)	slope\:(3,3),(-3,-1)
integral of 3/(t^5)	\int\:\frac{3}{t^{5}}dt
limit as x approaches 2-of 2-x	\lim\:_{x\to\:2-}(2-x)
derivative of (5x^3-7^8)	\frac{d}{dx}((5x^{3}-7)^{8})
(\partial)/(\partial x)(x^2+17.5xy-y^2)	\frac{\partial\:}{\partial\:x}(x^{2}+17.5xy-y^{2})
integral of x^3*sin^2((pix)/L)	\int\:x^{3}\cdot\:\sin^{2}(\frac{πx}{L})
derivative of 6sin(2x)	derivative\:6\sin(2x)
derivative of 1-4/(x+3)	\frac{d}{dx}(1-\frac{4}{x+3})
sum from n=0 to infinity of (e/pi)^n	\sum\:_{n=0}^{\infty\:}(\frac{e}{π})^{n}
integral of cot(3x)csc^4(3x)	\int\:\cot(3x)\csc^{4}(3x)dx
integral of 45	\int\:45
tangent of f(x)=3x^4,\at x=-2,48	tangent\:f(x)=3x^{4},\at\:x=-2,48
laplacetransform (e^{-2t}-1)^2	laplacetransform\:(e^{-2t}-1)^{2}
(1-x^2)y^{''}-2xy^'+2y=0	(1-x^{2})y^{\prime\:\prime\:}-2xy^{\prime\:}+2y=0
derivative of 2^{sin(x)}	derivative\:2^{\sin(x)}
derivative of-(200ln(x/(40))/(x+20))	\frac{d}{dx}(-\frac{200\ln(\frac{x}{40})}{x+20})
derivative of ln((x+1^2))	\frac{d}{dx}(\ln((x+1)^{2}))
(\partial)/(\partial x)(1/(x-a))	\frac{\partial\:}{\partial\:x}(\frac{1}{x-a})
integral of sin(x)sec^2(x)	\int\:\sin(x)\sec^{2}(x)dx
(\partial)/(\partial x)(4x^3+4xy^2)	\frac{\partial\:}{\partial\:x}(4x^{3}+4xy^{2})
laplacetransform e^{-3t}	laplacetransform\:e^{-3t}
(t^2+16)((dx)/(dt))=(x^2+25),x(0)=5	(t^{2}+16)(\frac{dx}{dt})=(x^{2}+25),x(0)=5
limit as x approaches 0 of (1-5x)^{1/x}	\lim\:_{x\to\:0}((1-5x)^{\frac{1}{x}})
integral of sqrt(tan(x))(sec(x))^4	\int\:\sqrt{\tan(x)}(\sec(x))^{4}dx
derivative of (x^2/((x-1)^2))	\frac{d}{dx}(\frac{x^{2}}{(x-1)^{2}})
derivative of 5sec(xtan(x))	\frac{d}{dx}(5\sec(x)\tan(x))
limit as u approaches 8 of ((u^2-5u-24))/(u-8)	\lim\:_{u\to\:8}(\frac{(u^{2}-5u-24)}{u-8})
(\partial)/(\partial x)(3+200x^2+300y^2)	\frac{\partial\:}{\partial\:x}(3+200x^{2}+300y^{2})
tangent of f(x)=((2x-1))/(x+3),\at x=2	tangent\:f(x)=\frac{(2x-1)}{x+3},\at\:x=2
derivative of f(x)=(2x-4)^4(x^2+x+1)^5	derivative\:f(x)=(2x-4)^{4}(x^{2}+x+1)^{5}
(\partial)/(\partial x)(y/(2-x))	\frac{\partial\:}{\partial\:x}(\frac{y}{2-x})
derivative of \sqrt[5]{1/(y^2)}	derivative\:\sqrt[5]{\frac{1}{y^{2}}}
derivative of f(x)=(4x-1)/(x+5)	derivative\:f(x)=\frac{4x-1}{x+5}
tangent of f(x)=(5x-x^2)(5-x-x^2)	tangent\:f(x)=(5x-x^{2})(5-x-x^{2})
(\partial)/(\partial t)(t^2x-t)	\frac{\partial\:}{\partial\:t}(t^{2}x-t)
integral of x/(sqrt(x^2+9))	\int\:\frac{x}{\sqrt{x^{2}+9}}dx
laplacetransform 6t^3+5cos(2t)	laplacetransform\:6t^{3}+5\cos(2t)
derivative of x^2sqrt(8x-5)	\frac{d}{dx}(x^{2}\sqrt{8x-5})
sum from n=0 to infinity of 4(1/10)^n	\sum\:_{n=0}^{\infty\:}4(\frac{1}{10})^{n}
t^2y^'+ty=7	t^{2}y^{\prime\:}+ty=7
integral of (x^2)/((x^2+4)^{3/2)}	\int\:\frac{x^{2}}{(x^{2}+4)^{\frac{3}{2}}}dx
derivative of f(x)=(27)/(5e^2)-3/2	derivative\:f(x)=\frac{27}{5e^{2}}-\frac{3}{2}
derivative of sqrt(x+1)(16+8x+9x^2)	\frac{d}{dx}(\sqrt{x+1}(16+8x+9x^{2}))
xy^'+y=y^2,y(1)=-7	xy^{\prime\:}+y=y^{2},y(1)=-7
integral of (169)/(x^3-13x^2)	\int\:\frac{169}{x^{3}-13x^{2}}dx
derivative of \sqrt[9]{x}-9e^x	\frac{d}{dx}(\sqrt[9]{x}-9e^{x})
limit as x approaches 2 of 1/(x-1)	\lim\:_{x\to\:2}(\frac{1}{x-1})
derivative of (x^3+4x^{(x^5+3x^2)})	\frac{d}{dx}((x^{3}+4x)^{(x^{5}+3x^{2})})
integral of 1-2x+x^2	\int\:1-2x+x^{2}dx
limit as x approaches 0 of (ln(1+x))/x	\lim\:_{x\to\:0}(\frac{\ln(1+x)}{x})
tangent of f(x)=x^2+9,(5,34)	tangent\:f(x)=x^{2}+9,(5,34)
integral of ((9x^2+5x+9))/((x^2+1)^2)	\int\:\frac{(9x^{2}+5x+9)}{(x^{2}+1)^{2}}dx
(x^6+y^6)dx+6xy^5dy=0	(x^{6}+y^{6})dx+6xy^{5}dy=0
f(t)=cos^2(t)	f(t)=\cos^{2}(t)
derivative of ln(1-4x)	\frac{d}{dx}(\ln(1-4x))
derivative of sqrt(x+10)	derivative\:\sqrt{x+10}
inverse oflaplace (s+3.3)/(s+1)	inverselaplace\:\frac{s+3.3}{s+1}
derivative of log_{10}(x^2-5x)	\frac{d}{dx}(\log_{10}(x^{2}-5x))
derivative of y=x(x-6)^2	derivative\:y=x(x-6)^{2}
derivative of e^{-5x}+e^{3x}	derivative\:e^{-5x}+e^{3x}
derivative of sqrt(e^x+19)	\frac{d}{dx}(\sqrt{e^{x}+19})
limit as x approaches 2+of sqrt(2-x)	\lim\:_{x\to\:2+}(\sqrt{2-x})
derivative of (1-6x/(2+x))	\frac{d}{dx}(\frac{1-6x}{2+x})
derivative of (t^2+e^t)sqrt(t)	derivative\:(t^{2}+e^{t})\sqrt{t}
derivative of cos^2(xtan(x))	\frac{d}{dx}(\cos^{2}(x)\tan(x))
derivative of cot(xdx)	\frac{d}{dx}(\cot(x)dx)
integral of 1/(x(2x+3))	\int\:\frac{1}{x(2x+3)}dx
integral of sqrt(1+1/(3x)) 1/(x^2)	\int\:\sqrt{1+\frac{1}{3x}}\frac{1}{x^{2}}dx
integral of (8+u)/u	\int\:\frac{8+u}{u}du
integral of x/(e^{5x)}	\int\:\frac{x}{e^{5x}}dx
derivative of (x^3)/6+1/(2x)	derivative\:\frac{x^{3}}{6}+\frac{1}{2x}
integral of e^{2x}cos(1-x)	\int\:e^{2x}\cos(1-x)dx
y^'=y^2-2	y^{\prime\:}=y^{2}-2
derivative of y=(4x-x^2)^3	derivative\:y=(4x-x^{2})^{3}
derivative of (4x/((x^2+1)^2))	\frac{d}{dx}(\frac{4x}{(x^{2}+1)^{2}})
integral from-3 to 4 of x	\int\:_{-3}^{4}xdx
derivative of f(x)=4x^2-5x-4x-2	derivative\:f(x)=4x^{2}-5x-4x-2
derivative of arctan(7x)	derivative\:\arctan(7x)
integral of \sqrt[9]{x}	\int\:\sqrt[9]{x}dx
integral of \sqrt[3]{27x^5}	\int\:\sqrt[3]{27x^{5}}dx
tangent of f(x)= 1/(x-1),(-7,-1/8)	tangent\:f(x)=\frac{1}{x-1},(-7,-\frac{1}{8})
derivative of 3x^5(7-2x^7)	\frac{d}{dx}(3x^{5}(7-2x)^{7})
area (x^2-4),y=0,x=-4,x=3	area\:(x^{2}-4),y=0,x=-4,x=3
integral of (e^{5sin(x)})/(sec(x))	\int\:\frac{e^{5\sin(x)}}{\sec(x)}dx
derivative of ((3x-5^3)/((2x^2+1)^4))	\frac{d}{dx}(\frac{(3x-5)^{3}}{(2x^{2}+1)^{4}})
(\partial)/(\partial y)(y)	\frac{\partial\:}{\partial\:y}(y)

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