Sue Pemberton, Julianne Hughes and, Julian Gilbey Solutions for Chapter: Integration, Exercise 4: EXERCISE 5C

Author:Sue Pemberton, Julianne Hughes & Julian Gilbey

Sue Pemberton Mathematics Solutions for Exercise - Sue Pemberton, Julianne Hughes and, Julian Gilbey Solutions for Chapter: Integration, Exercise 4: EXERCISE 5C

Attempt the free practice questions on Chapter 5: Integration, Exercise 4: EXERCISE 5C with hints and solutions to strengthen your understanding. Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book solutions are prepared by Experienced Embibe Experts.

Questions from Sue Pemberton, Julianne Hughes and, Julian Gilbey Solutions for Chapter: Integration, Exercise 4: EXERCISE 5C with Hints & Solutions

HARD
AS and A Level
IMPORTANT

The point π2,5 lies on the curve for which dydx=4sin2x-π2. If the equation of the curve is y=k-2cos2x-π2, then find the value of k.

HARD
AS and A Level
IMPORTANT

The point π2,5 lies on the curve for which dydx=4sin2x-π2. Find the equation of the normal to the curve at the point where x=π3.

HARD
AS and A Level
IMPORTANT

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The diagram shows part of the curve y=1+3sin2x+cos2x. If the exact value of the area of the shaded region is π2+p, then find the value of p.

HARD
AS and A Level
IMPORTANT

Question Image

The diagram shows the curve y=3sin2x+6sinx and its maximum point M. Find the exact area of the shaded region.

MEDIUM
AS and A Level
IMPORTANT

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The diagram shows the curve y=sinx. The points π6,12 and π3,32 lie on the curve. Find the exact value of π6π3sinx dx.

HARD
AS and A Level
IMPORTANT

Question Image

The diagram shows the curve y=sinx. The points π6,12 and π3,32 lie on the curve. Show that 1232sin-1ydy=π12(23-1)-3-12.

MEDIUM
AS and A Level
IMPORTANT

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The diagram shows the curve y=cosx. The points π4,22 and π3,12 lie on the curve. Find the exact value of π4π3cosx dx.

HARD
AS and A Level
IMPORTANT

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The diagram shows the curve y=cosx. The points π4,22 and π3,12 lie on the curve. Show that 1222cos-1ydy=π24(32-4)+3-22.