CUET MathematicsCalculus > Mediumcommona−ba+b\frac{a-b}{a+b}a+ba−b1a−b\frac{1}{a-b}a−b1a+b2\frac{a+b}{2}2a+b1a+b\frac{1}{a+b}a+b1✅ Correct Option: 4Related questions:14 May Shift 1Match List-I with List-II List-IList-IIDefinite integralValue(A) ∫012x1+x2dx\int_0^1 \frac{2x}{1 + x^2} dx∫011+x22xdx(I) 2(B) ∫−11sin3xcos4xdx\int_{-1}^1 sin^3 x \cos^4 x dx∫−11sin3xcos4xdx(II) loge(32)log_e\left(\frac{3}{2}\right)loge(23)(C) ∫0πsinxdx\int_0^{\pi} \sin x dx∫0πsinxdx(III) loge2log_e 2loge2(D) ∫232x2−1dx\int_2^3 \frac{2}{x^2 - 1} dx∫23x2−12dx(IV) 0 Choose the correct answer from the options given below:14 May Shift 2For x∈R−{−1,0,1}x \in \mathbb{R} - \{-1,0,1\}x∈R−{−1,0,1}, ∫1x−x5dx\int \frac{1}{x - x^5}dx∫x−x51dx is equal to2 June Shift 1The value of ∫−aaf(x)dx\int_{-a}^a f(x)dx∫−aaf(x)dx where f(x)=7x1+7xf(x) = \frac{7^x}{1+7^x}f(x)=1+7x7x is: