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Use integration by parts to integrate the following function: x.sin(7x) dx

Integration by parts follows the general form: ∫u (dv/dx) = u.v - ∫v (du/dx)Let x = uLet sin 7x = (dv/dx)∫x.sin(7x) dx = x.(-1/7)cos(7x) - ∫(-1/7)cos(7x).1 dx = (-x/7)cos(7x) + (1/49)sin(7x) + c

Answered by Ahanna N. • Maths tutor

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"Describe the stages of protein synthesis"

TRANSCRIPTION: An RNA polymerase binds to non-coding DNA at the front of the gene. RNA polymerase produces a complementary RNA strand from the coding DNA of the gene. RNA strand leaves the nucleus via a n...

Answered by Abigail S. • Biology tutor

3136 Views

What evidence is there for delocalisation in benzene?

X-ray diffraction shows all carbon-carbon bonds in benzene are the same length (140 pm), between the lengths of a single (147 pm) and double bond (135 pm). This suggests that Kekule's alternating single a...

Answered by William B. • Chemistry tutor

10510 Views

Explain the process of osmosis giving an example of why it is important for cell function.

This question is 4 marks. 1) osmosis is the net movement of water 2) from an area of high concentration to an area of low concentration 3) across a partially permeable membrane 4) importance: allows cells...

Answered by Amelia V. • Biology tutor

2627 Views

I set up a tent (assume it’s a regular triangular prism) of length 2.2m. The triangular face of the tent is an isosceles triangle. The two identical sides are both 1.4m long and have an angle of 34degrees between them. Work out the volume of the tent -3sf

First work out the area of the triangular face using the formula 1/2 A B sin c:1/2 x 1.4 x 1.4 sin(34) = 0.548m²
recall volume of a regular prism = area of face x length
hence V = 0.5...

Answered by Chloe L. • Maths tutor

2612 Views