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Popular Calculus Problems

derivative of-10x+3cos(x)	\frac{d}{dx}(-10x+3\cos(x))
(d^2)/(dx^2)((2x+5)^7)	\frac{d^{2}}{dx^{2}}((2x+5)^{7})
integral from 1 to 4 of (4/x-(16)/(x^2))	\int\:_{1}^{4}(\frac{4}{x}-\frac{16}{x^{2}})dx
(d^2)/(dx^2)(sqrt(r)+\sqrt[6]{r})	\frac{d^{2}}{dx^{2}}(\sqrt{r}+\sqrt[6]{r})
(\partial)/(\partial x)((3x+9)/(2-x))	\frac{\partial\:}{\partial\:x}(\frac{3x+9}{2-x})
derivative of (6x/(x+5))	\frac{d}{dx}(\frac{6x}{x+5})
f(x)=(x^2)/4	f(x)=\frac{x^{2}}{4}
x+xy^'=y	x+xy^{\prime\:}=y
integral of e^{-5x}cos(3x)	\int\:e^{-5x}\cos(3x)dx
derivative of sqrt(5/2+3/2 x)	derivative\:\sqrt{\frac{5}{2}+\frac{3}{2}x}
derivative of 1/((x-7^2))	\frac{d}{dx}(\frac{1}{(x-7)^{2}})
integral of (cos(ln(x)))/(3x)	\int\:\frac{\cos(\ln(x))}{3x}dx
derivative of f(x)=tan(4)x^3	derivative\:f(x)=\tan(4)x^{3}
derivative of y=(sqrt(x))^{5x}	derivative\:y=(\sqrt{x})^{5x}
integral of 9(3x-2)^2	\int\:9(3x-2)^{2}dx
(d^3)/(dx^3)(5/(x^2))	\frac{d^{3}}{dx^{3}}(\frac{5}{x^{2}})
f(x)=(x^2-3x+8)^3	f(x)=(x^{2}-3x+8)^{3}
limit as x approaches-infinity of x^2+1	\lim\:_{x\to\:-\infty\:}(x^{2}+1)
y^{''}-2y^'-3y=-5xe^{4x}	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=-5xe^{4x}
limit as x approaches c of \sqrt[3]{f(x)}	\lim\:_{x\to\:c}(\sqrt[3]{f(x)})
derivative of f(x)= 3/(sqrt(x+5))	derivative\:f(x)=\frac{3}{\sqrt{x+5}}
limit as x approaches 2 of (sqrt(x+7)-\sqrt[3]{4x+19})/(x-2)	\lim\:_{x\to\:2}(\frac{\sqrt{x+7}-\sqrt[3]{4x+19}}{x-2})
integral of (x/(x^2+y^2))	\int\:(\frac{x}{x^{2}+y^{2}})dy
taylor x^{-2},8	taylor\:x^{-2},8
limit as x approaches infinity of 1/(8x)	\lim\:_{x\to\:\infty\:}(\frac{1}{8x})
integral of 2xcsc(2x)cot(2x)	\int\:2x\csc(2x)\cot(2x)dx
integral of x^x	\int\:x^{x}dx
(\partial)/(\partial y)((xy)/(x^2+y^2))	\frac{\partial\:}{\partial\:y}(\frac{xy}{x^{2}+y^{2}})
integral of ((sec(x)+cos(x)))/(3cos(x))	\int\:\frac{(\sec(x)+\cos(x))}{3\cos(x)}dx
(\partial)/(\partial x)(5x^4y^2)	\frac{\partial\:}{\partial\:x}(5x^{4}y^{2})
(\partial}{\partial y}(\frac{5x)/y)	\frac{\partial\:}{\partial\:y}(\frac{5x}{y})
limit as x approaches-2 of (sin(x))/(2x)	\lim\:_{x\to\:-2}(\frac{\sin(x)}{2x})
integral of (x+1)/(x^2+2x+3)	\int\:\frac{x+1}{x^{2}+2x+3}dx
integral of (e^{3x})/(9+4e^{6x)}	\int\:\frac{e^{3x}}{9+4e^{6x}}dx
inverse oflaplace (sqrt(2))/(s^5)	inverselaplace\:\frac{\sqrt{2}}{s^{5}}
limit as x approaches 0 of ((2+x)^3-8)/x	\lim\:_{x\to\:0}(\frac{(2+x)^{3}-8}{x})
integral of-4sin(4x)	\int\:-4\sin(4x)dx
derivative of cos(e^{-x})	\frac{d}{dx}(\cos(e^{-x}))
integral of 1/((x^2+y^2))	\int\:\frac{1}{(x^{2}+y^{2})}dy
derivative of x^{0.5}	derivative\:x^{0.5}
derivative of xsin(pix)	\frac{d}{dx}(x\sin(πx))
derivative of 9e^x(cos(x-sin(x)))	\frac{d}{dx}(9e^{x}(\cos(x)-\sin(x)))
limit as x approaches 0 of (1+6x)^{7/x}	\lim\:_{x\to\:0}((1+6x)^{\frac{7}{x}})
derivative of 2x-tan(x)	derivative\:2x-\tan(x)
sum from k=1 to infinity of 1/(k+6)	\sum\:_{k=1}^{\infty\:}\frac{1}{k+6}
tangent of f(x)=(3x)/(4-x^2),\at x=1	tangent\:f(x)=\frac{3x}{4-x^{2}},\at\:x=1
limit as x approaches 3 of (x^2+9)/(x-3)	\lim\:_{x\to\:3}(\frac{x^{2}+9}{x-3})
limit as x approaches 7+of x+2	\lim\:_{x\to\:7+}(x+2)
(\partial)/(\partial x)(2x^{2/3}y^{1/3})	\frac{\partial\:}{\partial\:x}(2x^{\frac{2}{3}}y^{\frac{1}{3}})
sum from n=0 to infinity of (-1)^n	\sum\:_{n=0}^{\infty\:}(-1)^{n}
integral of (cos(x)+5^x)	\int\:(\cos(x)+5^{x})dx
integral of (3^x)	\int\:(3^{x})dx
y^'=(xy+3x-y-3)/(xy-2x+4y-8)	y^{\prime\:}=\frac{xy+3x-y-3}{xy-2x+4y-8}
derivative of y=(x^2+5)/(x-1)	derivative\:y=\frac{x^{2}+5}{x-1}
integral of (x^2+6x)cos(x)	\int\:(x^{2}+6x)\cos(x)dx
integral of (8+x+x^2)/(sqrt(x))	\int\:\frac{8+x+x^{2}}{\sqrt{x}}dx
integral from 0 to 1/2 of 5arccos(x)	\int\:_{0}^{\frac{1}{2}}5\arccos(x)dx
derivative of e^{ax^6}	\frac{d}{dx}(e^{ax^{6}})
derivative of f(x)=(x)^3*e^{(3x)}	derivative\:f(x)=(x)^{3}\cdot\:e^{(3x)}
(dy)/(dt)=\sqrt[3]{tan(3t)}	\frac{dy}{dt}=\sqrt[3]{\tan(3t)}
2y^2=(dy)/(dx)	2y^{2}=\frac{dy}{dx}
integral from 1 to e of ((x^2-1))/x	\int\:_{1}^{e}\frac{(x^{2}-1)}{x}dx
d/(dt)(e^{-2t})	\frac{d}{dt}(e^{-2t})
derivative of x^4+1/(32x^2)	\frac{d}{dx}(x^{4}+\frac{1}{32x^{2}})
(\partial)/(\partial x)(x^{0.5}*y^{0.5})	\frac{\partial\:}{\partial\:x}(x^{0.5}\cdot\:y^{0.5})
derivative of 4+3sin(x)	\frac{d}{dx}(4+3\sin(x))
integral of (e^x+e^{-x})/2	\int\:\frac{e^{x}+e^{-x}}{2}dx
limit as x approaches+0+of ln(0)	\lim\:_{x\to\:+0+}(\ln(0))
integral of x^3*sin(x)	\int\:x^{3}\cdot\:\sin(x)dx
integral from 0 to 2 of xln(x)	\int\:_{0}^{2}x\ln(x)dx
derivative of f(x)=1^4	derivative\:f(x)=1^{4}
derivative of log_{e}(sin(x))	\frac{d}{dx}(\log_{e}(\sin(x)))
area x+2y=9,x+6=y^2	area\:x+2y=9,x+6=y^{2}
integral of sin^5(13x)	\int\:\sin^{5}(13x)dx
integral from 0 to 1 of pi(x^3-1)^2	\int\:_{0}^{1}π(x^{3}-1)^{2}dx
tangent of f(x)=x^3+4x,(1,5)	tangent\:f(x)=x^{3}+4x,(1,5)
(dy)/(dx)=(xy+y)/(x+xy)	\frac{dy}{dx}=\frac{xy+y}{x+xy}
integral of 6sec^6(t)	\int\:6\sec^{6}(t)dt
(\partial)/(\partial t)(sqrt(1+t))	\frac{\partial\:}{\partial\:t}(\sqrt{1+t})
integral of ((x^2+1))/x	\int\:\frac{(x^{2}+1)}{x}dx
integral from 0 to 2 of piy^3	\int\:_{0}^{2}πy^{3}dy
integral of 8x-x^2	\int\:8x-x^{2}dx
xy^'=2xe^x-y+6x^2	xy^{\prime\:}=2xe^{x}-y+6x^{2}
integral of (4x^3-2)^2x^2	\int\:(4x^{3}-2)^{2}x^{2}dx
integral from 1 to e of (sqrt(ln(x)))/x	\int\:_{1}^{e}\frac{\sqrt{\ln(x)}}{x}dx
(x^2e^{-2x})^'	(x^{2}e^{-2x})^{\prime\:}
integral of cos(2x)sqrt(4-sin(2x))	\int\:\cos(2x)\sqrt{4-\sin(2x)}dx
integral of 3e^{5x+e^{5x}}	\int\:3e^{5x+e^{5x}}dx
(dy)/(dx)=(3x^2)/(1-y)	\frac{dy}{dx}=\frac{3x^{2}}{1-y}
derivative of x^2e^{-5x}	derivative\:x^{2}e^{-5x}
integral from 1/3 to 5 of 6xln(3x)	\int\:_{\frac{1}{3}}^{5}6x\ln(3x)dx
x^2(dy)/(dx)=y-xy,y(-1)=-1	x^{2}\frac{dy}{dx}=y-xy,y(-1)=-1
taylor ln(x),\at 1	taylor\:\ln(x),\at\:1
derivative of (4x+1(1-x)^3)	\frac{d}{dx}((4x+1)(1-x)^{3})
integral of (xsqrt(x))/(x^2)	\int\:\frac{x\sqrt{x}}{x^{2}}dx
limit as x approaches infinity of pi/3	\lim\:_{x\to\:\infty\:}(\frac{π}{3})
integral of 1/((x^2+x+1)^2)	\int\:\frac{1}{(x^{2}+x+1)^{2}}dx
integral from 0 to 4 of \|x-2\|	\int\:_{0}^{4}\left\|x-2\right\|dx
integral of 1/(2x^2+9x+4)	\int\:\frac{1}{2x^{2}+9x+4}dx
area y=sqrt(x),y=0,x=0,x=7	area\:y=\sqrt{x},y=0,x=0,x=7

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