We will use the following integration rules to compute the integral of 2x: ∫x n dx = x n+1 / (n + 1), where n ≠ -1 → This rule is called the Power Rule of Integration ∫kf (x) dx = k ∫f (x) dx, where is k
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Integrate the given expression : Given, I = ∫ e 2 x d x. We will use the method of substitution to solve the integration. Let 2 x = z. ⇒ 2 d x = d z ⇒ d x = 1 2 d z. Therefore, I = ∫ e 2 x d x = ∫ 1 2 e
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Calculus. Evaluate the Integral integral of e^ (2x)cos (2x) with respect to x. ∫ e2x cos(2x) dx ∫ e 2 x cos ( 2 x) d x. Reorder e2x e 2 x and cos(2x) cos ( 2 x). ∫ cos(2x)e2xdx ∫ cos ( 2 x) e 2 x d x.