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Calculus: Early Transcendentals (2nd Edition)
- Integration by parts Evaluate the following integrals using integration by parts. ∫x cos 5x dxarrow_forwardR is the region bounded above by the function f(x) = −2x+1 and below by the function g(x) = 2x/3 − 8 over the interval [a,b] where a=0 and b=3. Find the area A of R. Enter an exact answer.arrow_forwardIntegration by parts Evaluate the following integrals using integration by parts. ∫e3x cos 2x dxarrow_forward
- Integration by parts Evaluate the following integrals using integration by parts. ∫ex cos x dxarrow_forwardUsing double integration, find the area for x > 0 that is enclosed by the y-axis,the curve y = 4−x^2and the line y = 3x.Sketch the area of integration.arrow_forwardRegions of integration Sketch each region R and write an iterated integral of a continuous function ƒ over R. Use the order dy dx. R is the region in the first quadrant bounded by a circle of radius 1centered at the origin.arrow_forward
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