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Popular Calculus Problems
integral of 1/(sin(x)cos(x)+cos^2(x))
\int\:\frac{1}{\sin(x)\cos(x)+\cos^{2}(x)}dx
integral of (cos(x))/(1-sin(x))
\int\:\frac{\cos(x)}{1-\sin(x)}dx
sum from n=0 to infinity of 1/((4n^2-1))
\sum\:_{n=0}^{\infty\:}\frac{1}{(4n^{2}-1)}
integral from 8 to infinity of xe^{-2x}
\int\:_{8}^{\infty\:}xe^{-2x}dx
derivative of sin^3(x+sin(3x))
\frac{d}{dx}(\sin^{3}(x)+\sin(3x))
d/(dy)(sqrt(tan(x)+y))
\frac{d}{dy}(\sqrt{\tan(x)+y})
derivative of x^{(-1/2})
\frac{d}{dx}(x^{\frac{-1}{2}})
integral of ((arctan(x))^2)/(x^2+1)
\int\:\frac{(\arctan(x))^{2}}{x^{2}+1}dx
inverse oflaplace 1/((s-4))
inverselaplace\:\frac{1}{(s-4)}
(\partial)/(\partial y)(x^2yz+1/(xyz^2))
\frac{\partial\:}{\partial\:y}(x^{2}yz+\frac{1}{xyz^{2}})
sum from n=0 to infinity of (-1)^nx^n
\sum\:_{n=0}^{\infty\:}(-1)^{n}x^{n}
(dy)/(dx)=5y^2,y(0)=3
\frac{dy}{dx}=5y^{2},y(0)=3
tangent of f(x)=x^3-15x,(1,-14)
tangent\:f(x)=x^{3}-15x,(1,-14)
derivative of (10/x)
\frac{d}{dx}(\frac{10}{x})
integral of (yln(x))/x
\int\:\frac{y\ln(x)}{x}dx
tangent of 1/(sqrt(5x)),\at x=9
tangent\:\frac{1}{\sqrt{5x}},\at\:x=9
taylor 1/((sqrt((3-2x))))
taylor\:\frac{1}{(\sqrt{(3-2x)})}
tangent of (5x+2)/(6x-4)
tangent\:\frac{5x+2}{6x-4}
area y=x,(0,6)
area\:y=x,(0,6)
integral from 0 to 4 of 2t+4
\int\:_{0}^{4}2t+4dt
sum from n=0 to infinity of 1/((n(n+2)))
\sum\:_{n=0}^{\infty\:}\frac{1}{(n(n+2))}
area x+y=4,x-y=0,y+3x=4
area\:x+y=4,x-y=0,y+3x=4
derivative of (4x/(x^2-4))
\frac{d}{dx}(\frac{4x}{x^{2}-4})
(dy)/(dx)+y=e^x
\frac{dy}{dx}+y=e^{x}
derivative of f(x)=-(6x^2)/((x^3-1)^2)
derivative\:f(x)=-\frac{6x^{2}}{(x^{3}-1)^{2}}
derivative of (x+1^{2/3}(2x^2-1)^3)
\frac{d}{dx}((x+1)^{\frac{2}{3}}(2x^{2}-1)^{3})
derivative of sin(kx)
\frac{d}{dx}(\sin(kx))
derivative of 2/((4-x^2))
\frac{d}{dx}(\frac{2}{(4-x)^{2}})
integral of 2u^2
\int\:2u^{2}du
limit as x approaches-1 of (x-1)/(x+1)
\lim\:_{x\to\:-1}(\frac{x-1}{x+1})
integral of sin^5(x/2)
\int\:\sin^{5}(\frac{x}{2})dx
derivative of x^2sin(ln(x))
\frac{d}{dx}(x^{2}\sin(\ln(x)))
limit as x approaches 0 of sqrt(5-2x^2)
\lim\:_{x\to\:0}(\sqrt{5-2x^{2}})
limit as x approaches 3 of 2x^{-1}
\lim\:_{x\to\:3}(2x^{-1})
(dy)/(dx)= 1/4 sqrt(y)cos^2(sqrt(y))
\frac{dy}{dx}=\frac{1}{4}\sqrt{y}\cos^{2}(\sqrt{y})
integral of csc(x)tan(x)
\int\:\csc(x)\tan(x)dx
derivative of cos(xln(x^2+1))
\frac{d}{dx}(\cos(x)\ln(x^{2}+1))
integral of sqrt(25-x^2)(-2x)
\int\:\sqrt{25-x^{2}}(-2x)dx
limit as x approaches 1+of (1-x)/(x^2-1)
\lim\:_{x\to\:1+}(\frac{1-x}{x^{2}-1})
integral of (2x-5)^7
\int\:(2x-5)^{7}dx
integral of (18)/(x^2-x-20)
\int\:\frac{18}{x^{2}-x-20}dx
integral of (6e^x+7/x)
\int\:(6e^{x}+\frac{7}{x})dx
integral of y^3+1.8y^2-2.4y
\int\:y^{3}+1.8y^{2}-2.4ydy
derivative of y= x/(sqrt(x^2+4))
derivative\:y=\frac{x}{\sqrt{x^{2}+4}}
(\partial)/(\partial y)((xy)/(x+y+z))
\frac{\partial\:}{\partial\:y}(\frac{xy}{x+y+z})
(\partial)/(\partial y)(2xy-y)
\frac{\partial\:}{\partial\:y}(2xy-y)
derivative of f(x)= 7/(sqrt(x))
derivative\:f(x)=\frac{7}{\sqrt{x}}
derivative of (sin(x))/(cos(x))
derivative\:\frac{\sin(x)}{\cos(x)}
d/(dt)(sin(3ln(t)-e^{t^2}))
\frac{d}{dt}(\sin(3\ln(t)-e^{t^{2}}))
tangent of y=x^2-3,(-2,1)
tangent\:y=x^{2}-3,(-2,1)
integral of (x^5+1)/(x^3-3x^2-10x)
\int\:\frac{x^{5}+1}{x^{3}-3x^{2}-10x}dx
derivative of e^xx+7e^x
\frac{d}{dx}(e^{x}x+7e^{x})
integral of (e^x-3)^2
\int\:(e^{x}-3)^{2}dx
area 10x^4-10x^2,9x^2
area\:10x^{4}-10x^{2},9x^{2}
(\partial)/(\partial y)((2-x)(y-2)(3-x-y))
\frac{\partial\:}{\partial\:y}((2-x)(y-2)(3-x-y))
integral of 2/(x^2+x)
\int\:\frac{2}{x^{2}+x}dx
derivative of 30(4e^{x^2}x^3+6e^{x^2}x)
\frac{d}{dx}(30(4e^{x^{2}}x^{3}+6e^{x^{2}}x))
derivative of (6x^2+8x+4/(sqrt(x)))
\frac{d}{dx}(\frac{6x^{2}+8x+4}{\sqrt{x}})
integral of sin(6x)cos(3x)
\int\:\sin(6x)\cos(3x)dx
derivative of (x^{x+1})
\frac{d}{dx}((x)^{x+1})
(dx)/(dy)=sin(x+y)
\frac{dx}{dy}=\sin(x+y)
derivative of (2x-1)^2*ln(2x-1)
derivative\:(2x-1)^{2}\cdot\:\ln(2x-1)
slope of (0.4)(6.8)
slope\:(0.4)(6.8)
y^'=-ay
y^{\prime\:}=-ay
derivative of x^ay^{1-a}
\frac{d}{dx}(x^{a}y^{1-a})
limit as x approaches 0 of arctan(5x)
\lim\:_{x\to\:0}(\arctan(5x))
d/(dt)((ln(t))^2)
\frac{d}{dt}((\ln(t))^{2})
slope of (1,-1),(6,-1)
slope\:(1,-1),(6,-1)
integral from 6 to 8 of (92)/((x-6)^3)
\int\:_{6}^{8}\frac{92}{(x-6)^{3}}dx
derivative of sin^4(cos(8x))
\frac{d}{dx}(\sin^{4}(\cos(8x)))
limit as x approaches 4 of x^4-5x^2+2
\lim\:_{x\to\:4}(x^{4}-5x^{2}+2)
area f(x)= 1/x ,[1,2]
area\:f(x)=\frac{1}{x},[1,2]
integral from-5 to 0 of 2^{1-x}
\int\:_{-5}^{0}2^{1-x}dx
tangent of y=(6x)/(x^2+1)
tangent\:y=\frac{6x}{x^{2}+1}
(\partial)/(\partial x)(xsin(2y))
\frac{\partial\:}{\partial\:x}(x\sin(2y))
derivative of f(x)=(x^2+3)(x^2-4x)
derivative\:f(x)=(x^{2}+3)(x^{2}-4x)
integral of (5x^2+7x-11)/(x^2)
\int\:\frac{5x^{2}+7x-11}{x^{2}}dx
integral of (2x+6)e^{-4x}
\int\:(2x+6)e^{-4x}dx
(\partial)/(\partial x)(cos(5x))
\frac{\partial\:}{\partial\:x}(\cos(5x))
derivative of f(x)=(8x+9)(9x-10)
derivative\:f(x)=(8x+9)(9x-10)
derivative of 7(cos(x^2-2x^2sin(x^2)))
\frac{d}{dx}(7(\cos(x^{2})-2x^{2}\sin(x^{2})))
derivative of f(x)=x^22^x
derivative\:f(x)=x^{2}2^{x}
integral of 5/(x^2+4x-1)
\int\:\frac{5}{x^{2}+4x-1}dx
integral of 1/(x(x^2+1))
\int\:\frac{1}{x(x^{2}+1)}dx
derivative of cos(e^{-t^2})
derivative\:\cos(e^{-t^{2}})
integral from 0 to pi of sin(6x)cos(3x)
\int\:_{0}^{π}\sin(6x)\cos(3x)dx
integral of-2e^x(e^x-1)^3
\int\:-2e^{x}(e^{x}-1)^{3}dx
derivative of 9arctan(x-sqrt(1+x^2))
derivative\:9\arctan(x-\sqrt{1+x^{2}})
slope of (19,-16),(-7,-15)
slope\:(19,-16),(-7,-15)
limit as x approaches 2 of x^3
\lim\:_{x\to\:2}(x^{3})
derivative of 7xe^x
derivative\:7xe^{x}
(\partial)/(\partial y)(-y/((x+2)^2))
\frac{\partial\:}{\partial\:y}(-\frac{y}{(x+2)^{2}})
derivative of (arctan(x)dx)
\frac{d}{dx}((\arctan(x))dx)
derivative of (x^2+1/(3x^3+4x))
\frac{d}{dx}(\frac{x^{2}+1}{3x^{3}+4x})
integral of (e^{sqrt(x)})
\int\:(e^{\sqrt{x}})dx
derivative of (x-4/(x+2))
\frac{d}{dx}(\frac{x-4}{x+2})
limit as x approaches 3 of 4x^2-2x+10
\lim\:_{x\to\:3}(4x^{2}-2x+10)
integral of 8e^x
\int\:8e^{x}dx
derivative of (x+2/(x-4))
\frac{d}{dx}(\frac{x+2}{x-4})
derivative of-2ab^2e^{-b^2x^2}x
derivative\:-2ab^{2}e^{-b^{2}x^{2}}x
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