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Popular Calculus Problems
integral of (cos^4(x)sin(x))
\int\:(\cos^{4}(x)\sin(x))dx
integral of (x^2+1)(x^3+3x)^4
\int\:(x^{2}+1)(x^{3}+3x)^{4}dx
integral of (2x+5)/(sqrt(x^2+5x))
\int\:\frac{2x+5}{\sqrt{x^{2}+5x}}dx
derivative of f(x)=sqrt(7+\sqrt{5x)}
derivative\:f(x)=\sqrt{7+\sqrt{5x}}
y^'=k*y
y^{\prime\:}=k\cdot\:y
derivative of ((3t-1))/(sqrt(t)-2)
derivative\:\frac{(3t-1)}{\sqrt{t}-2}
tangent of y=(4x)/(x+2)
tangent\:y=\frac{4x}{x+2}
derivative of ln(4xy)
\frac{d}{dx}(\ln(4xy))
derivative of (18)/(x^4)
derivative\:\frac{18}{x^{4}}
f(x)= x/((1+x^2))
f(x)=\frac{x}{(1+x^{2})}
derivative of (x^2-3x+2)^5
derivative\:(x^{2}-3x+2)^{5}
integral of x^{12}e^{x^{13}}
\int\:x^{12}e^{x^{13}}dx
tangent of f(x)=x^2-9,(-2,-5)
tangent\:f(x)=x^{2}-9,(-2,-5)
integral of (x^3)/(x^4+5)
\int\:\frac{x^{3}}{x^{4}+5}dx
derivative of 1/(x(8+ln(x)))
\frac{d}{dx}(\frac{1}{x(8+\ln(x))})
limit as x approaches-3 of (x+2)/(x+3)
\lim\:_{x\to\:-3}(\frac{x+2}{x+3})
limit as x approaches-3 of (x-2)/(x+5)
\lim\:_{x\to\:-3}(\frac{x-2}{x+5})
derivative of x^{1/2}y^{1/2}
\frac{d}{dx}(x^{\frac{1}{2}}y^{\frac{1}{2}})
limit as x approaches 8 of x^3-6x+5
\lim\:_{x\to\:8}(x^{3}-6x+5)
tangent of 1/(x^2),\at x=3
tangent\:\frac{1}{x^{2}},\at\:x=3
(dy)/(dx)3x^3+3y^3-5xy=0
\frac{dy}{dx}3x^{3}+3y^{3}-5xy=0
derivative of 4x^6e^x
derivative\:4x^{6}e^{x}
integral of t/(sqrt(at^2+b))
\int\:\frac{t}{\sqrt{at^{2}+b}}dt
(d^2)/(dx^2)(3e^xcos(x))
\frac{d^{2}}{dx^{2}}(3e^{x}\cos(x))
slope of (-3,2),(6,3)
slope\:(-3,2),(6,3)
integral of 30arctan(sqrt(x))
\int\:30\arctan(\sqrt{x})dx
laplacetransform 2sin(3t)
laplacetransform\:2\sin(3t)
limit as x approaches 1 of ax+b
\lim\:_{x\to\:1}(ax+b)
derivative of 3x-7
\frac{d}{dx}(3x-7)
integral of 1/(xe^{-x)}
\int\:\frac{1}{xe^{-x}}dx
derivative of (5x^3+3(x^4-2x))
\frac{d}{dx}((5x^{3}+3)(x^{4}-2x))
laplacetransform te^{2t}sin(t)
laplacetransform\:te^{2t}\sin(t)
(dy)/(dx)+2y=e^{-x}
\frac{dy}{dx}+2y=e^{-x}
derivative of (\sqrt[3]{x}/(x-9))
\frac{d}{dx}(\frac{\sqrt[3]{x}}{x-9})
taylor X^3-X^2+4X+5
taylor\:X^{3}-X^{2}+4X+5
tangent of f(x)=(125)/(x^2+24),\at x=-1
tangent\:f(x)=\frac{125}{x^{2}+24},\at\:x=-1
derivative of cos(9x^2)
\frac{d}{dx}(\cos(9x^{2}))
integral of 1/(2x^2-4x+20)
\int\:\frac{1}{2x^{2}-4x+20}dx
(\partial)/(\partial x)(x^2e^{yz^2})
\frac{\partial\:}{\partial\:x}(x^{2}e^{yz^{2}})
limit as x approaches-3.1 of x^2
\lim\:_{x\to\:-3.1}(x^{2})
(dy)/(dx)=(xsqrt(x^2-y^2)+y^2)/(xy)
\frac{dy}{dx}=\frac{x\sqrt{x^{2}-y^{2}}+y^{2}}{xy}
integral of sin((xy)/2)
\int\:\sin(\frac{xy}{2})dy
limit as x approaches 0 of (cos(x))/(5x)
\lim\:_{x\to\:0}(\frac{\cos(x)}{5x})
d/(dt)(3cos(2t))
\frac{d}{dt}(3\cos(2t))
integral of (x^3-(x-1)^2)/x
\int\:\frac{x^{3}-(x-1)^{2}}{x}dx
limit as x approaches 1 of 4x-1
\lim\:_{x\to\:1}(4x-1)
derivative of 100x^2-26xe^x
\frac{d}{dx}(100x^{2}-26xe^{x})
derivative of log_{10}(3x+4)
\frac{d}{dx}(\log_{10}(3x+4))
(\partial)/(\partial x)(tan(xy)+ye^{3x})
\frac{\partial\:}{\partial\:x}(\tan(xy)+ye^{3x})
y^'+y=e^{-t}sin(t)
y^{\prime\:}+y=e^{-t}\sin(t)
derivative of cos(t)
derivative\:\cos(t)
(\partial)/(\partial x)((4x^4y^2+9)^2)
\frac{\partial\:}{\partial\:x}((4x^{4}y^{2}+9)^{2})
sum from n=1 to infinity of (7/10)^n
\sum\:_{n=1}^{\infty\:}(\frac{7}{10})^{n}
integral of (1+e^x)/(1-e^x)
\int\:\frac{1+e^{x}}{1-e^{x}}dx
limit as h approaches 0 of ((7+h)-7)/h
\lim\:_{h\to\:0}(\frac{(7+h)-7}{h})
integral of (x+1)/(sqrt(x+1))
\int\:\frac{x+1}{\sqrt{x+1}}dx
laplacetransform t^2(8e^{2t}-6sin(t))
laplacetransform\:t^{2}(8e^{2t}-6\sin(t))
limit as x approaches 0 of (1+4x)^{4/x}
\lim\:_{x\to\:0}((1+4x)^{\frac{4}{x}})
(\partial}{\partial x}((2t)/((1-\frac{0.5(x))/L)^2))
\frac{\partial\:}{\partial\:x}(\frac{2t}{(1-\frac{0.5(x)}{L})^{2}})
derivative of 1/(csc(x+cot(x)))
\frac{d}{dx}(\frac{1}{\csc(x)+\cot(x)})
derivative of 2arcsin(x^3)
derivative\:2\arcsin(x^{3})
derivative of 10e^{-2x}
\frac{d}{dx}(10e^{-2x})
derivative of h(t)=(t+5)^{2/3}(3t^2-5)^3
derivative\:h(t)=(t+5)^{\frac{2}{3}}(3t^{2}-5)^{3}
limit as x approaches 9 of 5/((x-9))
\lim\:_{x\to\:9}(\frac{5}{(x-9)})
7yy^'=x
7yy^{\prime\:}=x
limit as x approaches (a+1) of x^2-1
\lim\:_{x\to\:(a+1)}(x^{2}-1)
derivative of 3/2 x
\frac{d}{dx}(\frac{3}{2}x)
laplacetransform cos(3t-1)
laplacetransform\:\cos(3t-1)
y^{''}+7y^'+10y=-11te^{2t}
y^{\prime\:\prime\:}+7y^{\prime\:}+10y=-11te^{2t}
integral of (4x+1)^3
\int\:(4x+1)^{3}dx
derivative of-sec(1/x+7x)
derivative\:-\sec(\frac{1}{x}+7x)
derivative of xe^{-2x^2}
\frac{d}{dx}(xe^{-2x^{2}})
(\partial)/(\partial x)(7e^{xy})
\frac{\partial\:}{\partial\:x}(7e^{xy})
derivative of \sqrt[3]{x}tan(5x)
\frac{d}{dx}(\sqrt[3]{x}\tan(5x))
derivative of (sqrt(x)/(ln(x)))
\frac{d}{dx}(\frac{\sqrt{x}}{\ln(x)})
integral of (\sqrt[3]{x^4})
\int\:(\sqrt[3]{x^{4}})dx
4t((dy)/(dt))-y=sqrt(t)
4t(\frac{dy}{dt})-y=\sqrt{t}
integral of 1/(sqrt(144+x^2))
\int\:\frac{1}{\sqrt{144+x^{2}}}dx
derivative of sin(3x)+cos(4x)
derivative\:\sin(3x)+\cos(4x)
integral from 0 to 1 of 1/(x^{0.5)}
\int\:_{0}^{1}\frac{1}{x^{0.5}}dx
(\partial)/(\partial x)((3x+1)y)
\frac{\partial\:}{\partial\:x}((3x+1)y)
integral of ((x^2+1))/((x-4)(x-3)^2)
\int\:\frac{(x^{2}+1)}{(x-4)(x-3)^{2}}dx
y^{''}-10y^'+34y=0,y(0)=-2,y^'(0)=-3
y^{\prime\:\prime\:}-10y^{\prime\:}+34y=0,y(0)=-2,y^{\prime\:}(0)=-3
area 3/x , 3/(x^2),6
area\:\frac{3}{x},\frac{3}{x^{2}},6
area y=5,y=x^2+1
area\:y=5,y=x^{2}+1
simplify (x-2)^2sqrt(-3x)
simplify\:(x-2)^{2}\sqrt{-3x}
integral from-2 to 0 of \sqrt[3]{x^2}
\int\:_{-2}^{0}\sqrt[3]{x^{2}}dx
derivative of x^2sqrt(3-x)
\frac{d}{dx}(x^{2}\sqrt{3-x})
integral of 1/(5+x^2)
\int\:\frac{1}{5+x^{2}}dx
integral of (ln(y))/(log_{10)(y)}
\int\:\frac{\ln(y)}{\log_{10}(y)}dy
tangent of f(x)=x^4-17x^2+16
tangent\:f(x)=x^{4}-17x^{2}+16
integral of pi((sin(x))/x)^2
\int\:π(\frac{\sin(x)}{x})^{2}dx
limit as x approaches pi/2 of 3sin(x)
\lim\:_{x\to\:\frac{π}{2}}(3\sin(x))
integral from-1 to 1 of (5x)/((x+4)^2)
\int\:_{-1}^{1}\frac{5x}{(x+4)^{2}}dx
area y=|x-6|,y= x/2
area\:y=\left|x-6\right|,y=\frac{x}{2}
integral of (x+9)/(sqrt(36-(x-6)^2))
\int\:\frac{x+9}{\sqrt{36-(x-6)^{2}}}dx
sum from n=1 to infinity of (2n)/(5n-3)
\sum\:_{n=1}^{\infty\:}\frac{2n}{5n-3}
derivative of e^{sin(2x)}
derivative\:e^{\sin(2x)}
integral from 0 to 1 of 2(1-x)
\int\:_{0}^{1}2(1-x)dx
integral of (4x)/(sqrt(4x^2+1))
\int\:\frac{4x}{\sqrt{4x^{2}+1}}dx
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