Math Integration MCQs

By: Prof. Dr. Fazal Rehman | Last updated: March 3, 2022

Differential of y can be identified as (a) dy (b) \frac{dy}{dx} (c) dy ‘ (d) dx Answer (a) dy Select the Differential of x (a) \frac{dx}{dy} (b) 1 (c) dy (d) dx Answer (a) \frac{dx}{dy} The Integration is the opposite procedure of (a). tabulation (b). differentiation (c). classification (d). sublimation Answer (b). differentiation Follwing is n \neq – 1 , \int x^{n} dx = (a). \frac{x^{n+1}}{n+1} + c (b). \frac{x^{n-1}}{n-1} + c (c). \frac{x^{n+1}}{n} + c (d). x^n + c Answer (a). \frac{x^{n+1}}{n+1} + c Select the correct one for the following \int \frac{d}{dx}x^n dx = (a). \frac{x^{n+1}}{n} + c (b). x^n + c (c). \frac{x^{n+1}}{n+1} + c (d). \frac{x^{n-1}}{n-1} + c Answer (b). x^n + c select correct for the t\int ln xdx = (a). x – x ln x (b). x ln x – x (c). x log_a x + x (d). \frac{1}{x} ln x Answer (b). x ln x – x Chooce correct one for the following \intsec5x tan5xdx = (a). 5 sec5x+c (b). \frac{1}{5} secx+c (c. \frac{sec5x}{5}+c (d). \frac{tan5x}{5}+c Answer (c. \frac{sec5x}{5}+c Select correct one for the following \int – sinxdx = (a). cosx+c (b). sinx (c). -cosx+c (d). – sinx +c Answer (a). cosx+c choose the correct one for the following \intcos2xdx= (a). \frac{1}{2} sin2x +c (b). 2 sin2x+c (c). –\frac{1}{2} sin2x +c (d). – 2sin2x+c Answer (a). \frac{1}{2} sin2x +c Select from the following If n\neq -1 , then \int [f(x)]^n f ‘(x) dx = (a). \frac{[f(x)]^{n-1}}{n}+c (b). \frac{[f(x)]^{n+1}}{n+1}+c (c). \frac{[f(x)]^{n-1}}{n-1}+c (d). n[f(x)]^{n-1}+c Answer (b). \frac{[f(x)]^{n+1}}{n+1}+c Select fro the following for \int x^{-1}dx (a). lnx + c (b). – x^{-2} (c). \frac{x^{-2}}{0} (d). 0 Answer (a). lnx + c Select for the following \int cos(\frac{ln sinx}{sinx})dx= (a). 1\2 (lnsinx)²+c (b). 1\2 ln (sinx)²+c (c). (lnsinx)²+c (d). ln (sinx)²+c Answer (a). 1\2 (lnsinx)²+c Select correect for the \int e^{nx}dx= (a). e^{nx+1}+c (b). \frac{e^{nx}}{n}+c (c). ln \: e^{nx}+c (d). e^{nx}+c Answer (b)\frac{e^{nx}}{n}+c Choose for the following \int x e^{x}dx= (a). x e^{x}-e^{x}+c (b). e^{x}+x+c (c). x e^{x}+e^{x}+c (d). x e^{x}+c Answer (a). x e^{x}-e^{x}+c which is correct for the following \int \frac{1}{ax+b}dx = (a). \frac{1}{a} ln ( ax + b ) +c (b) . a ln ( ax + b ) +c (c). ln ( ax + b ) +c (d). log_a ( ax + b ) +c Answer (a). \frac{1}{a} ln ( ax + b ) + c Select correect for \int \frac{e^{tan^{-1}x}}{1+x^2}dx= (a). e^{secx}+c (b). e^{tan^{-1}x}+c (c). e^{cot^{-1}x}+c (d). e^{tanx}+c Answer (b). e^{tan^{-1}x}+c which is correc for the following \int a^{x}dx= (a). \frac{1}{a^x ln\; a}+c (b). \frac{ln\; a}{a^{x}}+c (c). \frac{a^{x}}{ln\; a}+c (d). a^x \; ln \; a +c Answer (c). \frac{a^{x}}{ln\; a}+c which is correct for the following\int \frac{1}{1+x^2}dx= (a). sin^{-1}x+c (b). cot^{-1}x+c (c). cos^{-1}x+c (d). tan^{-1}x+c Answer (d). tan^{-1}x+c which is correc for the following\int (e^x+1)dx= (a). e^{x} (b). e^{x}+x^3+c (c). e^{x}+x^2+c (d). e^{x}+x+c Answer (d). e^{x}+x+ Following is \int \frac{dx}{\sqrt{a^2-x^2}}= (a). sin^{-1}(\frac{x}{a})+c (b). cos^{-1}(\frac{x}{a})+c (c). sin^{-1}(\frac{a}{x})+c (d). sin^{-1}x+c Answer (a). sin^{-1}(\frac{x}{a})+c

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