Evaluate $\int_1^1 (x^1 \cos(8x)e^{8x} + 54)dx$.
Added by Jose Ramon M.
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We can use integration by parts to do this: Let u = xl and dv = cos( 8x)e 1 '[ 28 + 54)dx Then, du/dx = l cos( 8x)e 1 '[ 28 + 54)dx and v = (1/8) sin(8x)e 1 '[ 28 + 54)dx Using the formula for integration by parts, we have: ∫xl cos( 8x)e 1 '[ 28 + 54)dx = xl Show more…
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