Consider the integral (I= _ 0 ^ 2 3e^ 3x , (e^ 3x ) ,dx

MATHEMATICS · Multi-part · CBSE · Mathematics · Integrals · Integrals

Problem

Consider the integral I=∫0ln⁡23e3x sin⁡(e3x) dx.I=\displaystyle \int_{0}^{\ln 2} 3e^{3x}\,\sin\bigl(e^{3x}\bigr)\,dx. (i) Find the indefinite integral ∫3e3x sin⁡(e3x) dx.\displaystyle \int 3e^{3x}\,\sin\bigl(e^{3x}\bigr)\,dx. (ii) Hence, evaluate I.I.

Related theory

Browse the problem library