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Popular Calculus Problems

integral of 3e^{2t}	\int\:3e^{2t}dt
integral of 6e^{5x+e^{5x}}	\int\:6e^{5x+e^{5x}}dx
d/(dy)(-x/y)	\frac{d}{dy}(-\frac{x}{y})
limit as x approaches infinity of ax^2	\lim\:_{x\to\:\infty\:}(ax^{2})
integral of (3x)/(e^x)	\int\:\frac{3x}{e^{x}}dx
derivative of x^2sin(1/(ax))	\frac{d}{dx}(x^{2}\sin(\frac{1}{ax}))
limit as x approaches 1-of 2/(x^2-1)	\lim\:_{x\to\:1-}(\frac{2}{x^{2}-1})
derivative of e^{-1/2 x^2}	\frac{d}{dx}(e^{-\frac{1}{2}x^{2}})
limit as x approaches 4 of sqrt(x^2+9)	\lim\:_{x\to\:4}(\sqrt{x^{2}+9})
derivative of f(x)=(5+x^4)^{3x}	derivative\:f(x)=(5+x^{4})^{3x}
(\partial)/(\partial y)(x^3+ky^2-5xy)	\frac{\partial\:}{\partial\:y}(x^{3}+ky^{2}-5xy)
derivative of (x^2-7^2)	\frac{d}{dx}((x^{2}-7)^{2})
tangent of y=-(8x)/(x^2+1)	tangent\:y=-\frac{8x}{x^{2}+1}
tangent of f(x)=(e^x)/(x+6),(0, 1/6)	tangent\:f(x)=\frac{e^{x}}{x+6},(0,\frac{1}{6})
derivative of f(x)=(x+2sqrt(x))e^x	derivative\:f(x)=(x+2\sqrt{x})e^{x}
integral of (13)/(13+e^x)	\int\:\frac{13}{13+e^{x}}dx
(dy)/(dx)=6-3x^2	\frac{dy}{dx}=6-3x^{2}
integral of e^x*x^{-1}	\int\:e^{x}\cdot\:x^{-1}dx
(dy}{dx}=\frac{4sqrt(y)ln(x))/x	\frac{dy}{dx}=\frac{4\sqrt{y}\ln(x)}{x}
slope ofintercept (1.23)(2.46)	slopeintercept\:(1.23)(2.46)
integral from pi/2 to pi of 2cot(x/2)	\int\:_{\frac{π}{2}}^{π}2\cot(\frac{x}{2})dx
f(x)=(xcos(x)-sin(x))/(x^2)	f(x)=\frac{x\cos(x)-\sin(x)}{x^{2}}
limit as x approaches-3-of 1/((x+3)^4)	\lim\:_{x\to\:-3-}(\frac{1}{(x+3)^{4}})
derivative of (11)/x	derivative\:\frac{11}{x}
derivative of (cot(x))/(sin(x))	derivative\:\frac{\cot(x)}{\sin(x)}
derivative of csc^3(pixarccot(sin(x)))	\frac{d}{dx}(\csc^{3}(πx)\arccot(\sin(x)))
derivative of x^3-6x	\frac{d}{dx}(x^{3}-6x)
limit as x approaches 0-of 12e^{(-2)/x}	\lim\:_{x\to\:0-}(12e^{\frac{-2}{x}})
integral of e^{-x/(0.2)}	\int\:e^{-\frac{x}{0.2}}dx
integral of t/(sqrt(t+3))	\int\:\frac{t}{\sqrt{t+3}}dt
integral from 5 to 6 of xsqrt(x-5)	\int\:_{5}^{6}x\sqrt{x-5}dx
integral of (2e^{3x})/(5-4e^{3x)}	\int\:\frac{2e^{3x}}{5-4e^{3x}}dx
y^{'''}-12y^{''}+47y^'-66y=0	y^{\prime\:\prime\:\prime\:}-12y^{\prime\:\prime\:}+47y^{\prime\:}-66y=0
integral of (ln(2x^5))/(x^2)	\int\:\frac{\ln(2x^{5})}{x^{2}}dx
integral of-(2000x)/(sqrt(25-x^2))	\int\:-\frac{2000x}{\sqrt{25-x^{2}}}dx
integral of-18x^{-19}	\int\:-18x^{-19}dx
integral of 0.0012h^2	\int\:0.0012h^{2}dh
limit as x approaches pi of x+cos(x)	\lim\:_{x\to\:π}(x+\cos(x))
integral of (sqrt(9x^2-25))/(x^3)	\int\:\frac{\sqrt{9x^{2}-25}}{x^{3}}dx
derivative of (8x^7)/(5y^4)	derivative\:\frac{8x^{7}}{5y^{4}}
inverse oflaplace 1/(s*(s+1)^2)	inverselaplace\:\frac{1}{s\cdot\:(s+1)^{2}}
derivative of 9^x	derivative\:9^{x}
integral of (sin^2(θ))/(cos(θ))	\int\:\frac{\sin^{2}(θ)}{\cos(θ)}dθ
limit as x approaches 5 of sqrt(x^2+24)	\lim\:_{x\to\:5}(\sqrt{x^{2}+24})
integral of sin(7x)*cos(3x)	\int\:\sin(7x)\cdot\:\cos(3x)dx
derivative of \|x-5\|	\frac{d}{dx}(\left\|x-5\right\|)
slope of (-5.6)(4)	slope\:(-5.6)(4)
integral of 1/(4x^2-8x+32)	\int\:\frac{1}{4x^{2}-8x+32}dx
integral of sqrt(1+5x^3)(15x^2)	\int\:\sqrt{1+5x^{3}}(15x^{2})dx
integral of (c_{1})/(xcos^2(ln(x)))	\int\:\frac{c_{1}}{x\cos^{2}(\ln(x))}dx
limit as x approaches 1 of-x+1	\lim\:_{x\to\:1}(-x+1)
derivative of (ae^{x/2}/2-be^{-x})	\frac{d}{dx}(\frac{ae^{\frac{x}{2}}}{2}-be^{-x})
derivative of 1/(sqrt(-25x^2+2y^2-50))	\frac{d}{dx}(\frac{1}{\sqrt{-25x^{2}+2y^{2}-50}})
limit as x approaches 4 of x+sqrt(x)	\lim\:_{x\to\:4}(x+\sqrt{x})
derivative of y=ln(xsqrt(x^2-2))	derivative\:y=\ln(x\sqrt{x^{2}-2})
slope of (6,-1),(8,3)	slope\:(6,-1),(8,3)
derivative of (ln(x)/(x^{6/5)})	\frac{d}{dx}(\frac{\ln(x)}{x^{\frac{6}{5}}})
derivative of dln(x)+ax^n+be^x	derivative\:d\ln(x)+ax^{n}+be^{x}
integral from 0 to 7 of sqrt(1+x)	\int\:_{0}^{7}\sqrt{1+x}dx
derivative of f(x)=4sqrt(x)sin(x)	derivative\:f(x)=4\sqrt{x}\sin(x)
integral of cos^2(2x)2	\int\:\cos^{2}(2x)2dx
limit as x approaches 0-of 5/x-5/x	\lim\:_{x\to\:0-}(\frac{5}{x}-\frac{5}{x})
derivative of sin(2x+1)	derivative\:\sin(2x+1)
derivative of (3x/(sqrt(2x+3)))	\frac{d}{dx}(\frac{3x}{\sqrt{2x+3}})
x(dy)/(dx)=y+(x^2-4)^2	x\frac{dy}{dx}=y+(x^{2}-4)^{2}
derivative of sinh(3x)	\frac{d}{dx}(\sinh(3x))
area y=x^3,y=4x	area\:y=x^{3},y=4x
integral of-9x^2+9x+2	\int\:-9x^{2}+9x+2dx
limit as x approaches 1 of ((x^3))/(x-1)	\lim\:_{x\to\:1}(\frac{(x^{3})}{x-1})
integral of 3xln(x)	\int\:3x\ln(x)dx
derivative of 7cos(2x)	\frac{d}{dx}(7\cos(2x))
derivative of 10^x	derivative\:10^{x}
integral of (x-1)/((x+3)^2)	\int\:\frac{x-1}{(x+3)^{2}}dx
integral from 0 to 1 of (x^{10}+10^x)	\int\:_{0}^{1}(x^{10}+10^{x})dx
y'-2/t y=t^2e^t	y\prime\:-\frac{2}{t}y=t^{2}e^{t}
integral of (3x-4)e^x	\int\:(3x-4)e^{x}dx
integral of sin(x/2)cos(x/2)	\int\:\sin(\frac{x}{2})\cos(\frac{x}{2})dx
(\partial)/(\partial y)(4z)	\frac{\partial\:}{\partial\:y}(4z)
derivative of f(x)=1-(49)/(x^2)	derivative\:f(x)=1-\frac{49}{x^{2}}
integral of x^{-11}	\int\:x^{-11}dx
integral of 2/(\sqrt[4]{x^3)}	\int\:\frac{2}{\sqrt[4]{x^{3}}}dx
tangent of f(x)=(3x)/(x+1),(2,2)	tangent\:f(x)=\frac{3x}{x+1},(2,2)
integral from 0 to 3 of xsqrt(1+2x)	\int\:_{0}^{3}x\sqrt{1+2x}dx
integral of (y^2+ln(x))	\int\:(y^{2}+\ln(x))dy
integral from 0 to 5 of 7x-x^2-2x	\int\:_{0}^{5}7x-x^{2}-2xdx
limit as x approaches 0 of sec(x)	\lim\:_{x\to\:0}(\sec(x))
integral of (x^4+2x+1)/(x^3-x^2-2x)	\int\:\frac{x^{4}+2x+1}{x^{3}-x^{2}-2x}dx
derivative of f(x)=e^{ex}	derivative\:f(x)=e^{ex}
y^{''}-4y^'+3y=0,y(0)=-4,y^'(0)=5	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=0,y(0)=-4,y^{\prime\:}(0)=5
(\partial)/(\partial x)(sqrt(33-3x^2-3y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{33-3x^{2}-3y^{2}})
tangent of f(x)= x/(x^2-1),\at x=2	tangent\:f(x)=\frac{x}{x^{2}-1},\at\:x=2
derivative of (5x^6+2x^3)^4	derivative\:(5x^{6}+2x^{3})^{4}
derivative of f(x)=(5+x)(12-x)-2.2x	derivative\:f(x)=(5+x)(12-x)-2.2x
derivative of sec^2(pix)	\frac{d}{dx}(\sec^{2}(πx))
derivative of y=x^2+1	derivative\:y=x^{2}+1
derivative of (x^4/(4-x^3))	\frac{d}{dx}(\frac{x^{4}}{4-x^{3}})
derivative of cos(x)-4tan(x)	derivative\:\cos(x)-4\tan(x)
(\partial)/(\partial x)(8-x^2-3y^2)	\frac{\partial\:}{\partial\:x}(8-x^{2}-3y^{2})
derivative of (2x^3+4)(x^4-4x)	derivative\:(2x^{3}+4)(x^{4}-4x)
derivative of 6/(x^3)-6/(x^2)-1/x+350	derivative\:\frac{6}{x^{3}}-\frac{6}{x^{2}}-\frac{1}{x}+350

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