Ask a New Question

Find the area of the region enclosed by the curve y=xsinx and the x-axis for 7π ≤x ≤8π .

2 answers

what's the trouble? Straightforward integration by parts:

∫[7π,8π] x sinx dx
= sinx - x cosx [7π,8π]
= (0-(8π)(1))-(0-(7π)(-1))
= -15π

What methods have you been taught for this kind of integration ?
Do you know how to do integration by parts ?

Ask a New Question or answer this question.

Similar Questions

There is a diagram with the curve y=(2x-5)^4.The point P has coordinates (4,81) and the tangent to the curve at P meets the
1. 6 answers
Point P in the curve y=x^3 has coordinates (3,27) and PQ is the tangent to the curve at P.Point Q touches the x-axis.Find the
1. 2 answers
R is the first quadrant region enclosed by the x-axis, the curve y = 2x + b, and the line x = b, where b > 0. Find the value of
1. 2 answers
R is the first quadrant region enclosed by the x-axis, the curve y = 2x + a, and the line x = a, where a > 0. Find the value of
1. 6 answers

more similar questions