Nettet17. mar. 2024 · Explanation: Substitute x = tant, dx = sec2tdt: ∫ x6 +1 x2 +1 dx = ∫ tan6t +1 tan2t +1 sec2tdt. Use now the trigonometric identity: tan2α+ 1 = sin2α cos2α +1 = sin2α … NettetQuestion 2: Compute the following improper integral ∫133−x3dx Question 3: Consider the region bounded by the curves 0=3y2+2−x,x−6y=2 Using the method of washers, find the volume of the solid obtained by rotating the region around the y-axis. Please answer questions 2 and 3.
Ex 7.4, 6 - Integrate x2 / 1 - x6 - Chapter 7 CBSE NCERT - teachoo
Nettet4. jul. 2024 · W2=@ (z) 1./ (z+2); [I1,I2]=deal (zeros (size (z))); for i=2:numel (z) I1 (i)=integral (W1,z (i-1),z (i)); I2 (i)=integral (W2,z (i-1),z (i)); end % Definite intergral between z (1) and z (i) = sum (I (1:i)) I1=cumsum (I1); I2=cumsum (I2); % Function C=bsxfun (@plus, (1-I1).^2, (1-I2 (:))); % Visualization 'color' 'w') ha=subplot (1,2,1); NettetIn mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.Integration, the process of computing an … creation myths from africa
Integral of x^(1/2) - YouTube
Nettet21. mai 2024 · Use the product rule: In general, assume that doing this does not make sense, as that is the norm in mathematics ( and so on). The definite integral properties … NettetGeneral Color: Negro / Platino Información Marca: Rado Serie: Integral Género: Hombres Modelo: R20692722 Movimiento: Automático Caso Tamaño de la caja: 37 mm x 31 mm = 1 1/2' x 1 1/4' Material de la caja: Cerámica Color de la caja: tono platino Forma de la caja: Rectángulo Banda Material de la banda: Cerámica Tipo de banda: Pulsera Color de la … Nettet30. mar. 2024 · Ex 7.5, 22 𝑥𝑑𝑥 (𝑥−1) (𝑥−2) equals • log 𝑥−12𝑥−2 + C • log 𝑥−22𝑥−1 + C • log 𝑥−12𝑥−2 + C • log 𝑥−1 𝑥−2 + C We can write integrand as 𝑥 𝑥 − 1 𝑥 − 2 = 𝐴 𝑥 − 1 + 𝐵 𝑥 − 2 𝑥 𝑥 − 1 𝑥 − 2 = 𝐴 𝑥 − 2 + 𝐵 𝑥 − 1 𝑥 − 1 𝑥 − 2 By cancelling denominator 𝑥 = 𝐴 𝑥 − 2 + 𝐵 𝑥 − 1 Putting x = 1 in (1) 1 = 𝐴 1−2+𝐵 1−1 1 = 𝐴× −1+𝐵×0 1 = −𝐴 𝐴 = − 1 Similarly putting x = … creation myths greek mythology