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Popular Calculus Problems

(ln(x+sqrt(1+x^2)))^'	(\ln(x+\sqrt{1+x^{2}}))^{\prime\:}
integral of ((y+1))/y	\int\:\frac{(y+1)}{y}dy
derivative of f(x)=(e^x)/(x^2+6)	derivative\:f(x)=\frac{e^{x}}{x^{2}+6}
integral of (3x-1)/((x+4)^2)	\int\:\frac{3x-1}{(x+4)^{2}}dx
derivative of (sin(t)/(sqrt(1+x^2)))	\frac{d}{dx}(\frac{\sin(t)}{\sqrt{1+x^{2}}})
integral of x^3e^{ax^4}	\int\:x^{3}e^{ax^{4}}dx
integral of (2(x^2+1))/(x(x^2+2))	\int\:\frac{2(x^{2}+1)}{x(x^{2}+2)}dx
limit as x approaches 4-of 1/(x^2-16)	\lim\:_{x\to\:4-}(\frac{1}{x^{2}-16})
integral of x/(sqrt((1-x^2)))	\int\:\frac{x}{\sqrt{(1-x^{2})}}dx
tangent of y=ln(x^2-4x+1),(4,0)	tangent\:y=\ln(x^{2}-4x+1),(4,0)
derivative of 1/(2sqrt(x+8))	derivative\:\frac{1}{2\sqrt{x+8}}
derivative of x^{5cos(x})	\frac{d}{dx}(x^{5\cos(x)})
limit as x approaches pi/4 of (tan(4x))/(4x-pi)	\lim\:_{x\to\:\frac{π}{4}}(\frac{\tan(4x)}{4x-π})
integral of 3x^2(x^3-5)^7	\int\:3x^{2}(x^{3}-5)^{7}dx
integral of 28(7x-2)^3	\int\:28(7x-2)^{3}dx
integral from-1 to 3 of-2x^2+4x+6	\int\:_{-1}^{3}-2x^{2}+4x+6dx
integral of (cos(x))/(1-cos^2(x))	\int\:\frac{\cos(x)}{1-\cos^{2}(x)}dx
-y^{'''}-y^{''}+5y^{''}-3=0	-y^{\prime\:\prime\:\prime\:}-y^{\prime\:\prime\:}+5y^{\prime\:\prime\:}-3=0
(\partial)/(\partial x)(sqrt(17-4x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{17-4x^{2}-y^{2}})
(\partial)/(\partial x)(y/(cos(x)))	\frac{\partial\:}{\partial\:x}(\frac{y}{\cos(x)})
derivative of 4/5 ln((9x^2-6^7))	\frac{d}{dx}(\frac{4}{5}\ln((9x^{2}-6)^{7}))
integral from 2 to 4 of ((2x-3))/6	\int\:_{2}^{4}\frac{(2x-3)}{6}dx
limit as x approaches 2 of x^2-x	\lim\:_{x\to\:2}(x^{2}-x)
limit as x approaches infinity of (7^{12}-2176782336)/(7^{11)}	\lim\:_{x\to\:\infty\:}(\frac{7^{12}-2176782336}{7^{11}})
integral of (x^2)/((1-4x^2)^{3/2)}	\int\:\frac{x^{2}}{(1-4x^{2})^{\frac{3}{2}}}dx
integral from 0 to 1 of e^{2x}-e^x	\int\:_{0}^{1}e^{2x}-e^{x}dx
integral of (3x+1)^4	\int\:(3x+1)^{4}dx
d/(da)(sin(2a)+sin(a))	\frac{d}{da}(\sin(2a)+\sin(a))
integral of ((18x^6+3x^4)/(6x^2))	\int\:(\frac{18x^{6}+3x^{4}}{6x^{2}})dx
integral of 5ln(\sqrt[3]{x})	\int\:5\ln(\sqrt[3]{x})dx
integral from 0 to pi/2 of 4sqrt(2)	\int\:_{0}^{\frac{π}{2}}4\sqrt{2}
tangent of y=x^3+4x-3,(1,2)	tangent\:y=x^{3}+4x-3,(1,2)
derivative of 4e^{arccos(4x)}	derivative\:4e^{\arccos(4x)}
integral of 3x^3	\int\:3x^{3}dx
tangent of f(x)=ln(x^2-2x+1),\at x=2	tangent\:f(x)=\ln(x^{2}-2x+1),\at\:x=2
y^{'''}-y^{''}+y^'-y=0	y^{\prime\:\prime\:\prime\:}-y^{\prime\:\prime\:}+y^{\prime\:}-y=0
derivative of g(x)=sqrt(7-x)	derivative\:g(x)=\sqrt{7-x}
limit as x approaches 4 of 3	\lim\:_{x\to\:4}(3)
(2r-1)/t dr+(r-2r^2)/(t^2-1)dt=0,r(2)=4	\frac{2r-1}{t}dr+\frac{r-2r^{2}}{t^{2}-1}dt=0,r(2)=4
(\partial)/(\partial r)(1/(r^2))	\frac{\partial\:}{\partial\:r}(\frac{1}{r^{2}})
derivative of (128/((1+4x)^3))	\frac{d}{dx}(\frac{128}{(1+4x)^{3}})
derivative of sqrt(x)+6\sqrt[3]{x}	\frac{d}{dx}(\sqrt{x}+6\sqrt[3]{x})
(d^2)/(dx^2)(\|x\|)	\frac{d^{2}}{dx^{2}}(\left\|x\right\|)
d/(dt)(te^{-3t})	\frac{d}{dt}(te^{-3t})
derivative of (6(x^2+1)/((x^2-3)^3))	\frac{d}{dx}(\frac{6(x^{2}+1)}{(x^{2}-3)^{3}})
area e^x,xe^{x^2},0,1	area\:e^{x},xe^{x^{2}},0,1
inverse oflaplace (2s+5)/(s^2+6s+34)	inverselaplace\:\frac{2s+5}{s^{2}+6s+34}
derivative of x^{1/4}-2	\frac{d}{dx}(x^{\frac{1}{4}}-2)
(y+sqrt(x^2+y^2))dx=xdy	(y+\sqrt{x^{2}+y^{2}})dx=xdy
integral of (6x^2)/((x^6+1)(x^3+1))	\int\:\frac{6x^{2}}{(x^{6}+1)(x^{3}+1)}dx
limit as x approaches 0 of sin(9x)	\lim\:_{x\to\:0}(\sin(9x))
f(x)=2x^7	f(x)=2x^{7}
f(t)=(\sqrt[3]{t})/(t-6)	f(t)=\frac{\sqrt[3]{t}}{t-6}
(d^{10})/(dx^{10)}(x/(e^x))	\frac{d^{10}}{dx^{10}}(\frac{x}{e^{x}})
y^{''}+y=0	y^{\prime\:\prime\:}+y=0
y^'=2e^{2x-y}	y^{\prime\:}=2e^{2x-y}
integral of xln(x-1)	\int\:x\ln(x-1)dx
derivative of (x^2)/(5+8x)	derivative\:\frac{x^{2}}{5+8x}
derivative of f(x)=(x^5-x^3+3)	derivative\:f(x)=(x^{5}-x^{3}+3)
integral of 1/(x(5+3ln(x)))	\int\:\frac{1}{x(5+3\ln(x))}dx
integral of 3^{-2x}	\int\:3^{-2x}dx
integral of (2x^2-2x-8)/(x^2(x-4))	\int\:\frac{2x^{2}-2x-8}{x^{2}(x-4)}dx
limit as x approaches 0-of cos(1/x)	\lim\:_{x\to\:0-}(\cos(\frac{1}{x}))
integral of 1/(1^2+1x^2)	\int\:\frac{1}{1^{2}+1x^{2}}dx
derivative of (x^2+100/x)	\frac{d}{dx}(\frac{x^{2}+100}{x})
limit as x approaches 2 of ln(2)	\lim\:_{x\to\:2}(\ln(2))
derivative of-1/(x^4-5/(x^2))	\frac{d}{dx}(-\frac{1}{x^{4}}-\frac{5}{x^{2}})
area 4x^4-3x^2,6x^2	area\:4x^{4}-3x^{2},6x^{2}
(\partial)/(\partial x)(x^2y^3sin(xz))	\frac{\partial\:}{\partial\:x}(x^{2}y^{3}\sin(xz))
derivative of f(x)=x^9arccos(x)	derivative\:f(x)=x^{9}\arccos(x)
integral of-3xcos(2x)	\int\:-3x\cos(2x)dx
integral of 2x^3-2/3 x^2+5x	\int\:2x^{3}-\frac{2}{3}x^{2}+5xdx
derivative of e^{2x}tan(2x)	derivative\:e^{2x}\tan(2x)
limit as x approaches 0 of (sin(10x))/x	\lim\:_{x\to\:0}(\frac{\sin(10x)}{x})
integral from 0 to 2 of (4x+3)/(x^4)	\int\:_{0}^{2}\frac{4x+3}{x^{4}}dx
integral of (5x^3-7x^2+2x+1)	\int\:(5x^{3}-7x^{2}+2x+1)dx
derivative of 30+1/(x+1-3x^2)	\frac{d}{dx}(30+\frac{1}{x+1}-3x^{2})
derivative of 1/(5x^2+2x)	\frac{d}{dx}(\frac{1}{5x^{2}+2x})
inverse oflaplace (5s+3)/((s-1)(s^2+2s+5))	inverselaplace\:\frac{5s+3}{(s-1)(s^{2}+2s+5)}
(\partial)/(\partial y)(x^2+e^{xy})	\frac{\partial\:}{\partial\:y}(x^{2}+e^{xy})
derivative of y=csc^1(e^{8t})	derivative\:y=\csc^{1}(e^{8t})
integral of (x^3-7x)	\int\:(x^{3}-7x)dx
(\partial)/(\partial x)(ln(x^2u))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}u))
derivative of f(x)=(2x+3)^6(x-2)^4	derivative\:f(x)=(2x+3)^{6}(x-2)^{4}
integral of x+pi	\int\:x+πdx
derivative of f(x)=sqrt(7x+8)	derivative\:f(x)=\sqrt{7x+8}
derivative of e^{-0}	derivative\:e^{-0}
derivative of x*sin(y)	\frac{d}{dx}(x\cdot\:\sin(y))
derivative of 9xcos(x^2)	derivative\:9x\cos(x^{2})
limit as x approaches-infinity of 6^x	\lim\:_{x\to\:-\infty\:}(6^{x})
y^'-3y=e^x	y^{\prime\:}-3y=e^{x}
derivative of (x^2(sqrt(x)))	\frac{d}{dx}((x^{2})(\sqrt{x}))
tangent of f(x)=4-x^2,\at x=2	tangent\:f(x)=4-x^{2},\at\:x=2
integral of cos(1/2 x)	\int\:\cos(\frac{1}{2}x)dx
derivative of (x^5/(5!))	\frac{d}{dx}(\frac{x^{5}}{5!})
derivative of x^2+cos(x)	\frac{d}{dx}(x^{2}+\cos(x))
sum from n=1 to infinity of (4^n)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{4^{n}}{4^{n}}
derivative of 4x^4e^x	\frac{d}{dx}(4x^{4}e^{x})
integral of-x+tan(x)	\int\:-x+\tan(x)dx
derivative of y=sin(x)-cos(x)	derivative\:y=\sin(x)-\cos(x)

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