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Find area bounded by the curve y = lnx +...

Find area bounded by the curve `y = lnx + tan^(-1)x` and x-axis between ordiantes `x = 1` and `x = 2`.

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To find the area bounded by the curve \( y = \ln x + \tan^{-1} x \) and the x-axis between the ordinates \( x = 1 \) and \( x = 2 \), we will follow these steps: ### Step 1: Set up the integral for the area The area \( A \) under the curve from \( x = 1 \) to \( x = 2 \) can be expressed as: \[ A = \int_{1}^{2} (\ln x + \tan^{-1} x) \, dx \] ...
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -High Level Problem
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  11. about to only mathematics

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  16. Given that lim(x to 0)(int(0)^(x)(t^(2))/(sqrt(a+t))dt)/(bx-sinx) = 1,...

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  20. Let f(x) be defined on [-2,2] and be given by f(x)={(-1",",-2 le x l...

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  21. Find the area of region : {(x,y) : 0 le y le x^(2) + 1, 0 le y le x + ...

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