Popular Calculus Problems

d/(dx)(e^{x^2})	\frac{d}{dx}(e^{x^{2}})
integral of 1/((1-x)^2)	\int\:\frac{1}{(1-x)^{2}}dx
integral of-1/(x^2)	\int\:-\frac{1}{x^{2}}dx
integral of _{0}^1x	\int_{0}^{1}xdx
integral of 1/(sqrt(9-x^2))	\int\:\frac{1}{\sqrt{9-x^{2}}}dx
integral of 1/(x^5)	\int\:\frac{1}{x^{5}}dx
integral of sqrt(25-x^2)	\int\:\sqrt{25-x^{2}}dx
integral of x/(1+x^4)	\int\:\frac{x}{1+x^{4}}dx
d/(dx)(e^{-2x})	\frac{d}{dx}(e^{-2x})
integral of sqrt(1-cos(2x))	\int\:\sqrt{1-\cos(2x)}dx
integral of 1/(x+2)	\int\:\frac{1}{x+2}dx
d/(dx)(sin(πx))	\frac{d}{dx}(\sin(πx))
d/(dx)(ln(x^2))	\frac{d}{dx}(\ln(x^{2}))
sum from n=1 to infinity of ne^{-n^2}	\sum_{n=1}^{\infty\:}ne^{-n^{2}}
integral of 1/(sqrt(1-x^2))	\int\:\frac{1}{\sqrt{1-x^{2}}}dx
integral of sin^5(x)	\int\:\sin^{5}(x)dx
d/(dx)(y)+3x^2y=x^2	\frac{d}{dx}(y)+3x^{2}y=x^{2}
derivative 1/(x^2)	derivative\:\frac{1}{x^{2}}
integral of ln(x+1)	\int\:\ln(x+1)dx
d/(dx)((sin(x))/x)	\frac{d}{dx}(\frac{\sin(x)}{x})
limit as x approaching 0 of (e^x+x)^{1/x}	\lim_{x\to\:0}((e^{x}+x)^{\frac{1}{x}})
integral of x^3e^{-x^2}	\int\:x^{3}e^{-x^{2}}dx
limit as x approaching infinity of 1^x	\lim_{x\to\:\infty\:}(1^{x})
limit as x approaching infinity of (1+1/(3x))^x	\lim_{x\to\:\infty\:}((1+\frac{1}{3x})^{x})
d/(dx)(1/(x+2))	\frac{d}{dx}(\frac{1}{x+2})
d/(dx)((y))	\frac{d}{dx}((y))
d/(dx)(ln(cos(x)))	\frac{d}{dx}(\ln(\cos(x)))
d/(dx)(ln(2))	\frac{d}{dx}(\ln(2))
integral of 1/(2x+1)	\int\:\frac{1}{2x+1}dx
limit as x approaching 2 of (x^2+x-6)/(x-2)	\lim_{x\to\:2}(\frac{x^{2}+x-6}{x-2})
limit as x approaching 1 of 1/(1-x)-3/(1-x^3)	\lim_{x\to\:1}(\frac{1}{1-x}-\frac{3}{1-x^{3}})
integral from 0 to 2π of sin^2(x)	\int_{0}^{2π}\sin^{2}(x)dx
taylor cos(x)	taylor\:\cos(x)
limit as x approaching 4 of (x-4)/(sqrt(x)-2)	\lim_{x\to\:4}(\frac{x-4}{\sqrt{x}-2})
integral of 1/(x^2-1)	\int\:\frac{1}{x^{2}-1}dx
integral of 2/(x^2)	\int\:\frac{2}{x^{2}}dx
limit as x approaching 4 of (sqrt(x+5)-3)/(x-4)	\lim_{x\to\:4}(\frac{\sqrt{x+5}-3}{x-4})
d/(dx)(log_{e}(x))	\frac{d}{dx}(\log_{e}(x))
integral of 2xe^{x^2}	\int\:2xe^{x^{2}}dx
d/(dx)(e^{xy})	\frac{d}{dx}(e^{xy})
d/(dx)(y)+2xy^2=0	\frac{d}{dx}(y)+2xy^{2}=0
integral of 1/((x^2+1)^2)	\int\:\frac{1}{(x^{2}+1)^{2}}dx
integral of 1/(1+cos(x))	\int\:\frac{1}{1+\cos(x)}dx
y^{\prime}-y=0	y^{\prime\:}-y=0
laplace sin^2(t)	laplace\:\sin^{2}(t)
integral of cos(ln(x))	\int\:\cos(\ln(x))dx
d/(dx)(e^{-x})	\frac{d}{dx}(e^{-x})
integral of 1/(cos^2(x))	\int\:\frac{1}{\cos^{2}(x)}dx
integral of 1/(sqrt(a^2-x^2))	\int\:\frac{1}{\sqrt{a^{2}-x^{2}}}dx
taylor e^{2x}	taylor\:e^{2x}
limit as x approaching infinity of x/(sqrt(x^2+1))	\lim_{x\to\:\infty\:}(\frac{x}{\sqrt{x^{2}+1}})
integral of 6x	\int\:6xdx
integral of (e^{1/x})/(x^2)	\int\:\frac{e^{\frac{1}{x}}}{x^{2}}dx
integral of _{4}^9sqrt(x)	\int_{4}^{9}\sqrt{x}dx
integral from-infinity to infinity of xe^{1-x^2}	\int_{-\infty\:}^{\infty\:}xe^{1-x^{2}}dx
limit as x approaching 5 of (x^2-25)/(x-5)	\lim_{x\to\:5}(\frac{x^{2}-25}{x-5})
integral of _{1}^4sqrt(x)	\int_{1}^{4}\sqrt{x}dx
limit as x approaching 0 of x^x	\lim_{x\to\:0}(x^{x})
limit as x approaching 0 of (sqrt(x+4)-2)/x	\lim_{x\to\:0}(\frac{\sqrt{x+4}-2}{x})
derivative \sqrt[3]{x}	derivative\:\sqrt[3]{x}
laplace sin(t)	laplace\:\sin(t)
d/(dx)(y)=1+y^2	\frac{d}{dx}(y)=1+y^{2}
limit as x approaching 3 of (x-3)/(x^2-9)	\lim_{x\to\:3}(\frac{x-3}{x^{2}-9})
d/(dx)(1/(1+x))	\frac{d}{dx}(\frac{1}{1+x})
integral of (ln(2x))/x	\int\:\frac{\ln(2x)}{x}dx
d/(dx)(y)=(xy)/((x^2+1)^2)	\frac{d}{dx}(y)=\frac{xy}{(x^{2}+1)^{2}}
limit as x approaching 1 of (x^3-1)/(x^2-1)	\lim_{x\to\:1}(\frac{x^{3}-1}{x^{2}-1})
limit as h approaching 0 of ((x+h)^3-x^3)/h	\lim_{h\to\:0}(\frac{(x+h)^{3}-x^{3}}{h})
d/(dx)(arctan(1/x))	\frac{d}{dx}(\arctan(\frac{1}{x}))
limit as x approaching 0 of (sqrt(3+x)-sqrt(3))/x	\lim_{x\to\:0}(\frac{\sqrt{3+x}-\sqrt{3}}{x})
limit as x approaching infinity of arctan(x)	\lim_{x\to\:\infty\:}(\arctan(x))
integral of tan(1)	\int\:\tan(1)dx
integral of sqrt(x)ln(x)	\int\:\sqrt{x}\ln(x)dx
integral of 1/(e^x+e^{-x)}	\int\:\frac{1}{e^{x}+e^{-x}}dx
integral of 3x^2	\int\:3x^{2}dx
integral of cos(x)	\int\:\cos(x)dx
limit as x approaching infinity of (-1)^x	\lim_{x\to\:\infty\:}((-1)^{x})
integral of 2^x	\int\:2^{x}dx
integral from 0 to π/4 of sec^2(x)	\int_{0}^{\frac{π}{4}}\sec^{2}(x)dx
integral of 4x^2	\int\:4x^{2}dx
d/(dx)(xe^{-x})	\frac{d}{dx}(xe^{-x})
limit as x approaching infinity of x/(x+1)	\lim_{x\to\:\infty\:}(\frac{x}{x+1})
derivative e^{x^2}	derivative\:e^{x^{2}}
integral of sqrt(1+4x^2)	\int\:\sqrt{1+4x^{2}}dx
integral of sin^2(x)cos^2(x)	\int\:\sin^{2}(x)\cos^{2}(x)dx
limit as x approaching infinity of (1+2/x)^x	\lim_{x\to\:\infty\:}((1+\frac{2}{x})^{x})
sum from n=1 to infinity of (ln(n))/n	\sum_{n=1}^{\infty\:}\frac{\ln(n)}{n}
limit as x approaching infinity of sin(1/x)	\lim_{x\to\:\infty\:}(\sin(\frac{1}{x}))
d/(dx)(3)	\frac{d}{dx}(3)
integral of 1/(sin(x))	\int\:\frac{1}{\sin(x)}dx
integral of cos^2(xsin(x))	\int\:\cos^{2}(x\sin(x))dx
d/(dx)(ln(x^2+1))	\frac{d}{dx}(\ln(x^{2}+1))
limit as x approaching infinity of (sin(x))/x	\lim_{x\to\:\infty\:}(\frac{\sin(x)}{x})
limit as h approaching 0 of (sqrt(x+h)-sqrt(x))/h	\lim_{h\to\:0}(\frac{\sqrt{x+h}-\sqrt{x}}{h})
integral of e^xx	\int\:e^{x}xdx
limit as x approaching 8 of (sqrt(7+\sqrt[3]{x)}-3)/(x-8)	\lim_{x\to\:8}(\frac{\sqrt{7+\sqrt[3]{x}}-3}{x-8})
∂/(∂x)(ln(x))	\frac{∂}{∂x}(\ln(x))
integral of x/((x^2+1)^2)	\int\:\frac{x}{(x^{2}+1)^{2}}dx
derivative 1/x	derivative\:\frac{1}{x}
∂/(∂x)(e^x)	\frac{∂}{∂x}(e^{x})

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