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Popular Calculus Problems

derivative of ((sin(1/x*x^3))/(ln(x)))	\frac{d}{dx}(\frac{(\sin(\frac{1}{x})\cdot\:x^{3})}{\ln(x)})
integral of (3x^2-3x+3)	\int\:(3x^{2}-3x+3)dx
integral from 0 to 11/12 of 24x	\int\:_{0}^{\frac{11}{12}}24xdx
(\partial)/(\partial x)(x^{2/3}*y^{1/2})	\frac{\partial\:}{\partial\:x}(x^{\frac{2}{3}}\cdot\:y^{\frac{1}{2}})
derivative of (x^2-1)/(x-1)	derivative\:\frac{x^{2}-1}{x-1}
inverse oflaplace-6/((s-2)^2)	inverselaplace\:-\frac{6}{(s-2)^{2}}
derivative of e^{xy}+ln(x/y)	\frac{d}{dx}(e^{xy}+\ln(\frac{x}{y}))
(dy)/(dx)=4+sqrt(y-4x+2)	\frac{dy}{dx}=4+\sqrt{y-4x+2}
limit as x approaches 0 of ax	\lim\:_{x\to\:0}(ax)
derivative of 2x^{2x}	\frac{d}{dx}(2x^{2x})
(\partial)/(\partial x)(x-y^4)	\frac{\partial\:}{\partial\:x}(x-y^{4})
limit as x approaches 0 of (tan(a)x)/x	\lim\:_{x\to\:0}(\frac{\tan(a)x}{x})
inverse oflaplace 1/(s(s+5))	inverselaplace\:\frac{1}{s(s+5)}
limit as x approaches 0 of (x^3)/(e^x-1)	\lim\:_{x\to\:0}(\frac{x^{3}}{e^{x}-1})
integral of-x^2cos(x)	\int\:-x^{2}\cos(x)dx
inverse oflaplace (2a+b)/((s+1))	inverselaplace\:\frac{2a+b}{(s+1)}
integral of 20+75e^{-x/(50)}	\int\:20+75e^{-\frac{x}{50}}dx
tangent of 5x^2	tangent\:5x^{2}
sum from n=1 to infinity of (-3)^{3n-1}	\sum\:_{n=1}^{\infty\:}(-3)^{3n-1}
derivative of ln((x^3+1/(x^2+1)))	\frac{d}{dx}(\ln(\frac{x^{3}+1}{x^{2}+1}))
integral of 3e^{3t}	\int\:3e^{3t}dt
tangent of (sqrt(x))/(x+1)	tangent\:\frac{\sqrt{x}}{x+1}
integral of (20x^3-40x^2+3)/(x^2-2x)	\int\:\frac{20x^{3}-40x^{2}+3}{x^{2}-2x}dx
derivative of f(x)= x/(x-6)	derivative\:f(x)=\frac{x}{x-6}
tangent of f(x)=5x^2+7x	tangent\:f(x)=5x^{2}+7x
derivative of 1/(2x-8/(3x^2))	\frac{d}{dx}(\frac{1}{2x}-\frac{8}{3x^{2}})
integral of (x^3-2x^2)^3	\int\:(x^{3}-2x^{2})^{3}dx
limit as x approaches 0-of e^{7/x}	\lim\:_{x\to\:0-}(e^{\frac{7}{x}})
integral of 1/((x+a)^2)	\int\:\frac{1}{(x+a)^{2}}dx
integral of sin(ax)sin(bx)	\int\:\sin(ax)\sin(bx)dx
tangent of y=x^4+5e^x,(0,5)	tangent\:y=x^{4}+5e^{x},(0,5)
(\partial)/(\partial x)(2xe^{8xy})	\frac{\partial\:}{\partial\:x}(2xe^{8xy})
derivative of y=7e^x+4/(\sqrt[3]{x)}	derivative\:y=7e^{x}+\frac{4}{\sqrt[3]{x}}
limit as x approaches 0 of (9^x-10^x)/x	\lim\:_{x\to\:0}(\frac{9^{x}-10^{x}}{x})
integral of 4\sqrt[3]{x}	\int\:4\sqrt[3]{x}dx
limit as z approaches (1-i) of x+i(2x+y)	\lim\:_{z\to\:(1-i)}(x+i(2x+y))
tangent of x/(x^2+16)	tangent\:\frac{x}{x^{2}+16}
derivative of y=sin(x^2)	derivative\:y=\sin(x^{2})
integral of (-6)/(sqrt(x^2+16))	\int\:\frac{-6}{\sqrt{x^{2}+16}}dx
limit as x approaches 1+of 2/(1-x)	\lim\:_{x\to\:1+}(\frac{2}{1-x})
derivative of a-b	\frac{d}{dx}(a-b)
derivative of g(t)=t^2-2/(t^3)	derivative\:g(t)=t^{2}-\frac{2}{t^{3}}
integral of t^2e^{-20t}	\int\:t^{2}e^{-20t}dt
integral from t to 1 of ln(x)	\int\:_{t}^{1}\ln(x)dx
inverse oflaplace 1/(s^2+2)	inverselaplace\:\frac{1}{s^{2}+2}
integral of (x^2)/(x^2-2x+1)	\int\:\frac{x^{2}}{x^{2}-2x+1}dx
derivative of 1/(8x^2)	derivative\:\frac{1}{8x^{2}}
sum from n=1 to infinity of 3^n	\sum\:_{n=1}^{\infty\:}3^{n}
integral of (1+2x)/x	\int\:\frac{1+2x}{x}dx
limit as n approaches infinity of 3	\lim\:_{n\to\:\infty\:}(3)
(\partial)/(\partial x)(cos(ye^{xy})sin(x))	\frac{\partial\:}{\partial\:x}(\cos(ye^{xy})\sin(x))
integral of ((a^2-x^2)^{3/2})/(x^4)	\int\:\frac{(a^{2}-x^{2})^{\frac{3}{2}}}{x^{4}}dx
limit as x approaches 0 of (sin(16x))/(3x)	\lim\:_{x\to\:0}(\frac{\sin(16x)}{3x})
integral of 3^{2x}	\int\:3^{2x}dx
derivative of 2,x	\frac{d}{dx}(2,x)
limit as x approaches 0 of (x-7)/(3x+4)	\lim\:_{x\to\:0}(\frac{x-7}{3x+4})
-9y^{''}+36y=0	-9y^{\prime\:\prime\:}+36y=0
integral of 2y+1	\int\:2y+1dy
derivative of ln(\sqrt[3]{(3x/(x+2)}))	\frac{d}{dx}(\ln(\sqrt[3]{\frac{3x}{x+2}}))
(\partial)/(\partial x)((x^2+y^2)/(xy-1))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}+y^{2}}{xy-1})
integral of (sin(ax))/(1-cos(ax))	\int\:\frac{\sin(ax)}{1-\cos(ax)}dx
limit as x approaches 0 of 5/(x^2-x)	\lim\:_{x\to\:0}(\frac{5}{x^{2}-x})
derivative of (32x/((x^2+3)^2))	\frac{d}{dx}(\frac{32x}{(x^{2}+3)^{2}})
derivative of 4t^{-3/8}	derivative\:4t^{-\frac{3}{8}}
integral of ((sqrt(x)+7)^7)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+7)^{7}}{2\sqrt{x}}dx
integral of 2/((x^2+1)^2)	\int\:\frac{2}{(x^{2}+1)^{2}}dx
derivative of sin^{-2}(x^2+x)	\frac{d}{dx}(\sin^{-2}(x^{2}+x))
integral of 3e^{5x}-3cos(4x)	\int\:3e^{5x}-3\cos(4x)dx
limit as x approaches 0 of-(ln(x))	\lim\:_{x\to\:0}(-(\ln(x)))
limit as t approaches 0 of (e^{3t}-1)/t	\lim\:_{t\to\:0}(\frac{e^{3t}-1}{t})
limit as x approaches infinity+of 1/x+4	\lim\:_{x\to\:\infty\:+}(\frac{1}{x}+4)
derivative of 6/(x-1)	\frac{d}{dx}(\frac{6}{x-1})
integral from 0 to 1 of sqrt(3-x^2)	\int\:_{0}^{1}\sqrt{3-x^{2}}dx
(dy)/(dt)-26t^{12}e^{-y}=0	\frac{dy}{dt}-26t^{12}e^{-y}=0
derivative of 2/((x+1)^3)	derivative\:\frac{2}{(x+1)^{3}}
tangent of f(x)=(4x)/(x^2+1),(1,2)	tangent\:f(x)=\frac{4x}{x^{2}+1},(1,2)
derivative of 4e^{t/2}	derivative\:4e^{\frac{t}{2}}
integral of 1/(36-x^2)	\int\:\frac{1}{36-x^{2}}dx
integral of sin^3(6x)cos^{-2}(6x)	\int\:\sin^{3}(6x)\cos^{-2}(6x)dx
integral of (Insqrt(x))/x	\int\:\frac{In\sqrt{x}}{x}dx
y^{''}+9y^'+8y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+9y^{\prime\:}+8y=0,y(0)=1,y^{\prime\:}(0)=0
integral from 1 to infinity of xe^{-9x}	\int\:_{1}^{\infty\:}xe^{-9x}dx
integral of sin^3(x)*cos^3(x)	\int\:\sin^{3}(x)\cdot\:\cos^{3}(x)dx
derivative of 2^{2-3x}	derivative\:2^{2-3x}
derivative of ((x^2+x-17))/((x-4))	derivative\:\frac{(x^{2}+x-17)}{(x-4)}
integral from 2 to 3 of 6xln(x)	\int\:_{2}^{3}6x\ln(x)dx
d/(dθ)(cos(θ)+isin(θ))	\frac{d}{dθ}(\cos(θ)+i\sin(θ))
limit as x approaches 0 of 7	\lim\:_{x\to\:0}(7)
integral of (5x^5)/(sqrt(x))	\int\:\frac{5x^{5}}{\sqrt{x}}dx
integral of sqrt(x^2+6x+5)	\int\:\sqrt{x^{2}+6x+5}dx
(dy)/(dx)=3y+x^2+2	\frac{dy}{dx}=3y+x^{2}+2
integral of (-1)/(x-1)	\int\:\frac{-1}{x-1}dx
derivative of f(x)=-4	derivative\:f(x)=-4
(\partial)/(\partial x)(e^{-sin^2(x)}(x+c))	\frac{\partial\:}{\partial\:x}(e^{-\sin^{2}(x)}(x+c))
integral of sqrt(x)sqrt(x^{3/2-1)}	\int\:\sqrt{x}\sqrt{x^{\frac{3}{2}-1}}dx
derivative of (x+6^{2/3})	\frac{d}{dx}((x+6)^{\frac{2}{3}})
y^{''}+25y=0.5sin(5t),y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+25y=0.5\sin(5t),y(0)=0,y^{\prime\:}(0)=0
limit as x approaches 3 of 3-x	\lim\:_{x\to\:3}(3-x)
derivative of ((4+h)^2-16)/h	derivative\:\frac{(4+h)^{2}-16}{h}
limit as h approaches 0 of (1-cos(2h))/h	\lim\:_{h\to\:0}(\frac{1-\cos(2h)}{h})

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