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Popular Calculus Problems

integral from 0 to 1 of integral of xe^x	\int\:_{0}^{1}\int\:xe^{x}dxdx
derivative of 2x^3+x+1	\frac{d}{dx}(2x^{3}+x+1)
derivative of x+(25/x)	\frac{d}{dx}(x+\frac{25}{x})
(ln((x(x^2+1)^2)/(sqrt(2x^3-1))))^'	(\ln(\frac{x(x^{2}+1)^{2}}{\sqrt{2x^{3}-1}}))^{\prime\:}
tangent of f(x)=1+sin(x),\at x=-pi	tangent\:f(x)=1+\sin(x),\at\:x=-π
integral of x^3ln(8x)	\int\:x^{3}\ln(8x)dx
limit as x approaches-3 of 3	\lim\:_{x\to\:-3}(3)
integral of (5(4x+2))/(2(x^2+4x+5))	\int\:\frac{5(4x+2)}{2(x^{2}+4x+5)}dx
derivative of f(x)=(x^2)/((1+x))	derivative\:f(x)=\frac{x^{2}}{(1+x)}
sum from n=1 to infinity of (1-1/n)^n	\sum\:_{n=1}^{\infty\:}(1-\frac{1}{n})^{n}
parity y= x/(2-tan(x))	parity\:y=\frac{x}{2-\tan(x)}
integral of (9x+7)/((18x^2+28x)^4)	\int\:\frac{9x+7}{(18x^{2}+28x)^{4}}dx
integral of ln(x^2+9)	\int\:\ln(x^{2}+9)dx
integral from-1 to 1 of (e^y-(y^2-2))	\int\:_{-1}^{1}(e^{y}-(y^{2}-2))dy
integral from 0 to t of (t-x)sin(x)	\int\:_{0}^{t}(t-x)\sin(x)dx
y^'+2/x y=6(y^3)/(x^2)	y^{\prime\:}+\frac{2}{x}y=6\frac{y^{3}}{x^{2}}
derivative of f(x)=sqrt(5x)(1+x^2)	derivative\:f(x)=\sqrt{5x}(1+x^{2})
derivative of 3e^xsqrt(x)	derivative\:3e^{x}\sqrt{x}
limit as h approaches+0-of (2^h-1)/h	\lim\:_{h\to\:+0-}(\frac{2^{h}-1}{h})
integral of 1/(sqrt(x^2-8x+25))	\int\:\frac{1}{\sqrt{x^{2}-8x+25}}dx
derivative of sqrt((2x/(x+1)))	\frac{d}{dx}(\sqrt{\frac{2x}{x+1}})
integral of sin(ln(12x))	\int\:\sin(\ln(12x))dx
area 6-x^2,26-9x	area\:6-x^{2},26-9x
d/(dt)(2sin(3t))	\frac{d}{dt}(2\sin(3t))
integral of 3x^2-x+3	\int\:3x^{2}-x+3dx
derivative of 2/(\sqrt[5]{(4x-1^3)})	\frac{d}{dx}(\frac{2}{\sqrt[5]{(4x-1)^{3}}})
derivative of (8x^2+2x+2/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+2x+2}{\sqrt{x}})
slope of (80,2000),(260,5600)	slope\:(80,2000),(260,5600)
limit as x approaches 1 of e^x	\lim\:_{x\to\:1}(e^{x})
integral from 2 to 7 of 1/(25+(x-2)^2)	\int\:_{2}^{7}\frac{1}{25+(x-2)^{2}}dx
integral of (x^{3/2}-5x)^2	\int\:(x^{\frac{3}{2}}-5x)^{2}dx
derivative of sin^3(2x-3)	\frac{d}{dx}(\sin^{3}(2x-3))
(dy)/(dt)+e^ty=13e^t	\frac{dy}{dt}+e^{t}y=13e^{t}
taylor 1/(4+x^2),0	taylor\:\frac{1}{4+x^{2}},0
derivative of x^3-4x+6	\frac{d}{dx}(x^{3}-4x+6)
integral of xarctan(5x)	\int\:x\arctan(5x)dx
derivative of f(x)=7sqrt(x)sin(x)	derivative\:f(x)=7\sqrt{x}\sin(x)
y^{''}-y^'-6y=e^{-x}	y^{\prime\:\prime\:}-y^{\prime\:}-6y=e^{-x}
derivative of y=2x^3e^{-x}	derivative\:y=2x^{3}e^{-x}
derivative of asqrt(b^2-x^2)	\frac{d}{dx}(a\sqrt{b^{2}-x^{2}})
derivative of sqrt(x)-1/x	\frac{d}{dx}(\sqrt{x}-\frac{1}{x})
integral of (sqrt(2+x^2))/(sqrt(4-x^4))	\int\:\frac{\sqrt{2+x^{2}}}{\sqrt{4-x^{4}}}dx
integral of 49tan^5(x)sec^4(x)	\int\:49\tan^{5}(x)\sec^{4}(x)dx
limit as h approaches 0+of 2+h	\lim\:_{h\to\:0+}(2+h)
(xdy)/(dx)=y^2-y	\frac{xdy}{dx}=y^{2}-y
derivative of x/(sqrt(x^2+9))	\frac{d}{dx}(\frac{x}{\sqrt{x^{2}+9}})
derivative of \sqrt[3]{6x^2-x^3}	\frac{d}{dx}(\sqrt[3]{6x^{2}-x^{3}})
limit as x approaches 0 of (\|x\|)/(x^2+x)	\lim\:_{x\to\:0}(\frac{\left\|x\right\|}{x^{2}+x})
integral of tan(6xse)c^26x	\int\:\tan(6xse)c^{2}6xdx
derivative of (9e^{2w}+e^w)/(e^w)	derivative\:\frac{9e^{2w}+e^{w}}{e^{w}}
(dy)/(dx)=x^4y^{-3}	\frac{dy}{dx}=x^{4}y^{-3}
y^{''}+2y^'-3y=-2e^{3t}	y^{\prime\:\prime\:}+2y^{\prime\:}-3y=-2e^{3t}
integral of (x^2-5)	\int\:(x^{2}-5)dx
derivative of (sin(x)(tan(x)))	\frac{d}{dx}((\sin(x))(\tan(x)))
integral from-infinity to 12 of re^{r/4}	\int\:_{-\infty\:}^{12}re^{\frac{r}{4}}dr
y^{''}+10y=0	y^{\prime\:\prime\:}+10y=0
integral of (17x^7)/(315)	\int\:\frac{17x^{7}}{315}dx
integral of (cos(x))/3	\int\:\frac{\cos(x)}{3}dx
derivative of (x^2-x+1^3)	\frac{d}{dx}((x^{2}-x+1)^{3})
(cos(5x))y^'+5(tan(5x))y=-9sec(5x)	(\cos(5x))y^{\prime\:}+5(\tan(5x))y=-9\sec(5x)
derivative of y=(1+x^2)(3-2x)	derivative\:y=(1+x^{2})(3-2x)
derivative of 5x^3-6x	\frac{d}{dx}(5x^{3}-6x)
sum from n=1 to infinity of 9/(n^2)	\sum\:_{n=1}^{\infty\:}\frac{9}{n^{2}}
derivative of (2x^2+8x+8)/(sqrt(x))	derivative\:\frac{2x^{2}+8x+8}{\sqrt{x}}
(\partial)/(\partial x)((xy)^{(1/2)})	\frac{\partial\:}{\partial\:x}((xy)^{(\frac{1}{2})})
integral from 2 to 4 of 3x-6	\int\:_{2}^{4}3x-6dx
derivative of y=(x^2)/(e^{2x)}	derivative\:y=\frac{x^{2}}{e^{2x}}
(\partial)/(\partial x)(5x^2+xy+2y^2)	\frac{\partial\:}{\partial\:x}(5x^{2}+xy+2y^{2})
limit as x approaches 4-of 4/(x-4)	\lim\:_{x\to\:4-}(\frac{4}{x-4})
d/(dy)((y^3)/(39)+(13)/(4y))	\frac{d}{dy}(\frac{y^{3}}{39}+\frac{13}{4y})
tangent of 5x^4	tangent\:5x^{4}
derivative of x^3+3xy^2-15x-12y	\frac{d}{dx}(x^{3}+3xy^{2}-15x-12y)
derivative of ln(9x^2-7x+1)	\frac{d}{dx}(\ln(9x^{2}-7x+1))
(dy)/(dt)=5-y	\frac{dy}{dt}=5-y
derivative of e^xsin(3x)	\frac{d}{dx}(e^{x}\sin(3x))
derivative of 1500x+3000(2x+3)^{-1}-1000	derivative\:1500x+3000(2x+3)^{-1}-1000
integral of-ln(x)-(ln(x))/(16)	\int\:-\ln(x)-\frac{\ln(x)}{16}dx
inverse oflaplace 2/(s^2)+(24)/s+1/8	inverselaplace\:\frac{2}{s^{2}}+\frac{24}{s}+\frac{1}{8}
derivative of (500/x)	\frac{d}{dx}(\frac{500}{x})
limit as x approaches 1 of 1/(x^2+1)	\lim\:_{x\to\:1}(\frac{1}{x^{2}+1})
integral from 6 to 7 of t^3	\int\:_{6}^{7}t^{3}dt
(\partial)/(\partial x)((4x-5y)/(4x+5y))	\frac{\partial\:}{\partial\:x}(\frac{4x-5y}{4x+5y})
inverse oflaplace 4/((s)(s^2+2s+4))	inverselaplace\:\frac{4}{(s)(s^{2}+2s+4)}
y^{''}-2y^'+y=((-2e^{-t}))/((t^2+1))	y^{\prime\:\prime\:}-2y^{\prime\:}+y=\frac{(-2e^{-t})}{(t^{2}+1)}
(x^2+y^2+x)dx+ydy=0	(x^{2}+y^{2}+x)dx+ydy=0
(\partial)/(\partial y)(e^{x+y}-1)	\frac{\partial\:}{\partial\:y}(e^{x+y}-1)
derivative of f(x)=sqrt(9x+8)	derivative\:f(x)=\sqrt{9x+8}
limit as x approaches-infinity of-2(x)	\lim\:_{x\to\:-\infty\:}(-2(x))
integral of sin(9pit)	\int\:\sin(9πt)dt
limit as x approaches 3 of (x-5)/(x-3)	\lim\:_{x\to\:3}(\frac{x-5}{x-3})
derivative of (ln(x)/(x^5))	\frac{d}{dx}(\frac{\ln(x)}{x^{5}})
derivative of e^{ln(x)}	derivative\:e^{\ln(x)}
derivative of (2x)/((x^3-6)^2)	derivative\:\frac{2x}{(x^{3}-6)^{2}}
derivative of (sin^2(x)/x)	\frac{d}{dx}(\frac{\sin^{2}(x)}{x})
derivative of 1/3 x^3+8x^2+63x+7	derivative\:\frac{1}{3}x^{3}+8x^{2}+63x+7
integral from-4pi to 4pi of sin^2(x)+1	\int\:_{-4π}^{4π}\sin^{2}(x)+1dx
limit as x approaches 2-of 4	\lim\:_{x\to\:2-}(4)
y^{''}x+(2/x-(2x)/(1+x^2))*y^'=0	y^{\prime\:\prime\:}x+(\frac{2}{x}-\frac{2x}{1+x^{2}})\cdot\:y^{\prime\:}=0
derivative of 2cos(x-4sin(x))	\frac{d}{dx}(2\cos(x)-4\sin(x))
integral of 2arcsin(2x)	\int\:2\arcsin(2x)dx

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