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Integrate sin^4(x)

sin^2(x) = (1 - cos(2x))/2 and cos^2(x) = (1 + cos(2x))/2so sin^4(x) = 0.25(1 - 2cos(2x) + cos^2(2x)) = 0.25(1 - 2cos(2x) + 0.5 + 0.5cos(4x))integrate = 3x/8 - sin(2x)/4 + sin(4x)/32
AN
Answered by Artem N. • Maths tutor
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How would you check for halides within a compound and differentiate between them?

Add silver nitrate to the aqueous solution. If a precipitate forms then solution contains halide ions. Chloride: white. Bromide: cream. Iodide: pale yellow. Adding dilute ammonia will dissolve the chloride p...
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Answered by Artem N. • Chemistry tutor
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How does an increase in temperature affect the rate of a reaction?

Increasing the temperature of a reaction means increasing the kinetic energy of each particle in the reaction. Increasing a particle's kinetic energy means the particle is moving faster ('Kinetic' indicates ...
KW
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Explain how a deletion mutation in a strand of DNA can affect the primary, secondary and tertiary structures of the protein for which it codes.

A deletion in a strand of DNA would result in a frameshift mutation, where the other base pairs following the deletion would move 'to the left' which would change the base pairs throughout the rest of the st...
WS
Answered by William S. • Biology tutor
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Solve the simultaneous equations 2x + 7y = 15 and 3x + 6y = 21

Find the lowest common multiple of 2 and 3, which is 6. Multiply each term in the first equation by 3, and each term in the second equation by 2 to produce two equations with the same coefficient of x (which...
IR
Answered by Isobel R. • Maths tutor
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