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Popular Calculus Problems

limit as x approaches-3 of (x^2-6)/(3-x)	\lim\:_{x\to\:-3}(\frac{x^{2}-6}{3-x})
y^{''}-6y^'+36y=0	y^{\prime\:\prime\:}-6y^{\prime\:}+36y=0
integral of 1/(w^6)	\int\:\frac{1}{w^{6}}dw
derivative of y=(x+2/x)(7-2x^3)	derivative\:y=(x+\frac{2}{x})(7-2x^{3})
integral of cos^4(xsi)n^4x	\int\:\cos^{4}(xsi)n^{4}x
integral of ((1+x))/((1-x))	\int\:\frac{(1+x)}{(1-x)}dx
(dy)/(dt)-0.06y=-24000,y(0)=250000	\frac{dy}{dt}-0.06y=-24000,y(0)=250000
derivative of f(x)=(x-1)^2-2	derivative\:f(x)=(x-1)^{2}-2
(\partial)/(\partial x)(2ye^{7x})	\frac{\partial\:}{\partial\:x}(2ye^{7x})
limit as x approaches 0 of tan^x(6x)	\lim\:_{x\to\:0}(\tan^{x}(6x))
integral of (3x)^5sqrt((3x)^3+1)	\int\:(3x)^{5}\sqrt{(3x)^{3}+1}dx
derivative of f(x)=(98)/(x^3)	derivative\:f(x)=\frac{98}{x^{3}}
integral from 0 to 5 of-6x	\int\:_{0}^{5}-6xdx
integral from-1 to 2 of (x+5)	\int\:_{-1}^{2}(x+5)dx
derivative of f(x)=5.5x+2.2	derivative\:f(x)=5.5x+2.2
derivative of-(300/(x^4))	\frac{d}{dx}(-\frac{300}{x^{4}})
integral from 1 to 10 of (17)/(x^3)	\int\:_{1}^{10}\frac{17}{x^{3}}dx
integral of (tan(ln(3x+4)))/(3x+4)	\int\:\frac{\tan(\ln(3x+4))}{3x+4}dx
integral of 1/(cos^6(x))	\int\:\frac{1}{\cos^{6}(x)}dx
limit as x approaches infinity of ((5+2e^{-2x}))/(ln(x))	\lim\:_{x\to\:\infty\:}(\frac{(5+2e^{-2x})}{\ln(x)})
derivative of 17-x^2	derivative\:17-x^{2}
limit as x approaches 1 of 1/(sqrt(x))	\lim\:_{x\to\:1}(\frac{1}{\sqrt{x}})
area 4-x^2,x=0	area\:4-x^{2},x=0
area-2x^2+8x,[-1,2]	area\:-2x^{2}+8x,[-1,2]
derivative of 4x^3-3x^4	derivative\:4x^{3}-3x^{4}
derivative of ((x^4+1/(x^2+1))^5)	\frac{d}{dx}((\frac{x^{4}+1}{x^{2}+1})^{5})
derivative of 1/2 (x^3+1)	\frac{d}{dx}(\frac{1}{2}(x^{3}+1))
derivative of 4/((x+2^3))	\frac{d}{dx}(\frac{4}{(x+2)^{3}})
(\partial)/(\partial x)(x^2+(y-1)^2)	\frac{\partial\:}{\partial\:x}(x^{2}+(y-1)^{2})
integral from-4 to 4 of 1/(sqrt(16-x^2))	\int\:_{-4}^{4}\frac{1}{\sqrt{16-x^{2}}}dx
(\partial)/(\partial x)(sqrt(2x+1)+ye^{-x})	\frac{\partial\:}{\partial\:x}(\sqrt{2x+1}+ye^{-x})
integral of cos(x)(8+7sin^2(x))	\int\:\cos(x)(8+7\sin^{2}(x))dx
integral of e^{-20x}	\int\:e^{-20x}dx
tangent of y=10xsin(x)	tangent\:y=10x\sin(x)
integral of \sqrt[3]{y^2}	\int\:\sqrt[3]{y^{2}}dy
derivative of 9x(-2^2-3x(-2)-1)	\frac{d}{dx}(9x(-2)^{2}-3x(-2)-1)
integral of-3tan^2(x)	\int\:-3\tan^{2}(x)dx
derivative of tan(sqrt(7x))	\frac{d}{dx}(\tan(\sqrt{7x}))
derivative of 2x^2-8x+5	\frac{d}{dx}(2x^{2}-8x+5)
derivative of (3x/pi)	\frac{d}{dx}(\frac{3x}{π})
limit as b approaches 1 of ln(ln(b))	\lim\:_{b\to\:1}(\ln(\ln(b)))
tangent of f(x)= 5/(3x),\at x=1	tangent\:f(x)=\frac{5}{3x},\at\:x=1
derivative of 2-x^3	\frac{d}{dx}(2-x^{3})
integral of (x^3+9)/(x^2+9)	\int\:\frac{x^{3}+9}{x^{2}+9}dx
derivative of (x^2+1/(sqrt(3-x^2)))	\frac{d}{dx}(\frac{x^{2}+1}{\sqrt{3-x^{2}}})
derivative of (x-pisin(x))	\frac{d}{dx}((x-π)\sin(x))
derivative of 1/(3x+4)	derivative\:\frac{1}{3x+4}
limit as x approaches 4 of-(3x)/7+8/7	\lim\:_{x\to\:4}(-\frac{3x}{7}+\frac{8}{7})
limit as x approaches 9-of sqrt(81-x^2)	\lim\:_{x\to\:9-}(\sqrt{81-x^{2}})
derivative of (x^2-4^{2/3})	\frac{d}{dx}((x^{2}-4)^{\frac{2}{3}})
derivative of sin(bx)	derivative\:\sin(bx)
derivative of 2x-1	derivative\:2x-1
integral of 1/(x^2-6x+13)	\int\:\frac{1}{x^{2}-6x+13}dx
y^{''}+2y^'=0,y(0)=-4,y^'(0)=2	y^{\prime\:\prime\:}+2y^{\prime\:}=0,y(0)=-4,y^{\prime\:}(0)=2
(\partial)/(\partial x)(x^2*y)	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:y)
integral of xe^{(2x)}	\int\:xe^{(2x)}dx
integral from 0 to 5 of (3x)/((x-6)^2)	\int\:_{0}^{5}\frac{3x}{(x-6)^{2}}dx
integral from e to infinity of x^1ln(x)	\int\:_{e}^{\infty\:}x^{1}\ln(x)dx
derivative of sin(x^6)	\frac{d}{dx}(\sin(x^{6}))
derivative of-(24x(x^2+3)/((x^2-3)^4))	\frac{d}{dx}(-\frac{24x(x^{2}+3)}{(x^{2}-3)^{4}})
integral of cos(x)(6+8sin^2(x))	\int\:\cos(x)(6+8\sin^{2}(x))dx
area 2x^2,8x^2,-3x+5	area\:2x^{2},8x^{2},-3x+5
integral of 1/(sin^2(x)cos^4(x))	\int\:\frac{1}{\sin^{2}(x)\cos^{4}(x)}dx
derivative of e^xsin(x+cos(x))	\frac{d}{dx}(e^{x}\sin(x)+\cos(x))
limit as x approaches-5 of (5+x)^2-25	\lim\:_{x\to\:-5}((5+x)^{2}-25)
derivative of cos(4-9x^2)	derivative\:\cos(4-9x^{2})
derivative of (2x+5/(x^2-1))	\frac{d}{dx}(\frac{2x+5}{x^{2}-1})
derivative of f(x)=2x^3+1	derivative\:f(x)=2x^{3}+1
integral of-4/(x^5)	\int\:-\frac{4}{x^{5}}dx
tangent of f(x)=-3x^4	tangent\:f(x)=-3x^{4}
integral from 0 to pi of 9sin^4(x)	\int\:_{0}^{π}9\sin^{4}(x)dx
derivative of y=(cos(7x))^x	derivative\:y=(\cos(7x))^{x}
lcm (x+6)/5 ,sqrt(\|x\|)	lcm\:\frac{x+6}{5},\sqrt{\left\|x\right\|}
derivative of 40ln(3x+1)	derivative\:40\ln(3x+1)
derivative of 1/2 (e^x+e^{-x})	derivative\:\frac{1}{2}(e^{x}+e^{-x})
area x^2-x-6,-4	area\:x^{2}-x-6,-4
derivative of y=8	derivative\:y=8
integral of ((sin(x))^2)/(x^2)	\int\:\frac{(\sin(x))^{2}}{x^{2}}dx
integral of (x+3)/((x-1)^2)	\int\:\frac{x+3}{(x-1)^{2}}dx
tangent of f(x)=sqrt(9-4x),\at x=-1	tangent\:f(x)=\sqrt{9-4x},\at\:x=-1
derivative of (9x/4)	\frac{d}{dx}(\frac{9x}{4})
area f(x)=9-x^2,g(x)=-8x	area\:f(x)=9-x^{2},g(x)=-8x
integral of x^5	\int\:x^{5}dx
laplacetransform T	laplacetransform\:T
simplify (sqrt(x))/(cos(x))	simplify\:\frac{\sqrt{x}}{\cos(x)}
derivative of f(x)=x^{-1}-x	derivative\:f(x)=x^{-1}-x
integral of t-sin(t)	\int\:t-\sin(t)dt
derivative of (e^{-x}dx)	\frac{d}{dx}((e^{-x})dx)
derivative of-e^{-1}	\frac{d}{dx}(-e^{-1})
limit as x approaches 4 of 3/(4-x)	\lim\:_{x\to\:4}(\frac{3}{4-x})
integral from-2 to 3 of 7/(x^4)	\int\:_{-2}^{3}\frac{7}{x^{4}}dx
integral of (2x-3)^{-7}	\int\:(2x-3)^{-7}dx
integral of 8/(x+1)+x	\int\:\frac{8}{x+1}+xdx
integral of (5x-12)/(x^2-4x)	\int\:\frac{5x-12}{x^{2}-4x}dx
derivative of (3x+7^2)	\frac{d}{dx}((3x+7)^{2})
integral from-9 to 0 of sqrt(y+9)	\int\:_{-9}^{0}\sqrt{y+9}dy
limit as x approaches 3 of x^2+8x-2	\lim\:_{x\to\:3}(x^{2}+8x-2)
sum from n=5 to infinity of 2/(n^2-1)	\sum\:_{n=5}^{\infty\:}\frac{2}{n^{2}-1}
integral of x/(5x-2)	\int\:\frac{x}{5x-2}dx
integral from 1/3 to 7 of 6xln(3x)	\int\:_{\frac{1}{3}}^{7}6x\ln(3x)dx

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