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Ex 7.6, 9 (Method 1) 𝑥 〖c𝑜𝑠^(−1)〗𝑥 ∫1 𝑥 cos^(−1)〖𝑥 𝑑𝑥〗 Let x = cos𝜃 dx = − sin〖𝜃 𝑑𝜃〗 Substituting ... The integral of xcosx gives the area under the curve of the function f (x) = xcosx and gives different equivalent answers when evaluated using different methods of integration. The integration of xcosx is given by, ∫xcosx dx = xsinx + cosx + C, where C is the integration constant, ∫ is the symbol of integration and dx shows the integration of xcosx is with respect to x. In the next section, let us go through the formula for the integral of xcosx. Integral of cos^-1 x along with its formula and proof with examples. Also learn how to calculate integration of cos^-1 x with step by step examples. Learn to solve the integral of cos(x) step-by-step in this 5-minute video lesson. Master this calculus concept and test your understanding with an optional quiz.
