∫2∞(1x2+6x+5)dx\int_2^{\infty}\left(\frac{1}{x^2+6x+5}\right)dx∫2∞(x2+6x+51)dx
∫0∞(1x+x2)dx\int_0^{\infty}\left(\frac{1}{\sqrt{x}+x^2}\right)dx∫0∞(x+x21)dx
∫0∞(x1+x3)dx\int_0^{\infty}\left(\frac{x}{1+x^3}\right)dx∫0∞(1+x3x)dx
∫0∞(xx3+1)dx\int_0^{\infty}\left(\frac{x}{x^3+1}\right)dx∫0∞(x3+1x)dx
∫01(x1−x2)dx\int_0^1\left(\frac{x}{1-x^2}\right)dx∫01(1−x2x)dx
∫01dx(x+1)(x2+1)\int_0^1\frac{dx}{\left(x+1\right)\left(x^2+1\right)}∫01(x+1)(x2+1)dx
Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b
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