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Problem Evaluate ∫ x cos ( a x ) d x \displaystyle \int x\cos(ax)\,dx ∫ x cos ( a x ) d x a a a x a cos ( a x ) + 1 a 2 sin ( a x ) + C \dfrac{x}{a}\cos(ax)+\dfrac{1}{a^{2}}\sin(ax)+C a x cos ( a x ) + a 2 1 sin ( a x ) + C x a sin ( a x ) + 1 a 2 cos ( a x ) + C \dfrac{x}{a}\sin(ax)+\dfrac{1}{a^{2}}\cos(ax)+C a x sin ( a x ) + a 2 1 cos ( a x ) + C x a sin ( a x ) + 1 a cos ( a x ) + C \dfrac{x}{a}\sin(ax)+\dfrac{1}{a}\cos(ax)+C a x sin ( a x ) + a 1 cos ( a x ) + C x a sin ( a x ) − 1 a 2 cos ( a x ) + C \dfrac{x}{a}\sin(ax)-\dfrac{1}{a^{2}}\cos(ax)+C a x sin ( a x ) − a 2 1 cos ( a x ) + C Browse the problem library