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What is the integral of sin(3x) cos(5x)?

Using trig formulas we have sin(5x+3x)= sin(5x)cos(3x)+cos(5x)sin(3x) and sin(5x-3x)= sin(5x)cos(3x) - cos(5x)sin(3x). Hence, sin(5x+3x) - sin(5x-3x) = sin(8x)-sin(2x) = 2cos(5x)sin(3x). This implies that co...
MN
Answered by Morenikeji N. • Maths tutor
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solve 4^xe^(7x+5) = 21

ln((4^x)e^(7x+5)) = ln21; apply a natural log on both sides of the equation as an exponential containing e is involved ln4^x + ln(e^(7x+5)) = ln21; using logarithm rules you can seperate the single log on th...
WN
Answered by Wahib N. • Maths tutor
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What is the best way to write and essay?

The best essays have are clear, correct, and convincing. All essays should be clear. This means that every essay should have an introduction, main body, and conclusion. The introduction should explicitly tel...
JH
Answered by Jack H. • History tutor
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How do you integrate y = 4x^3 - 5/x^2?

First we should look at the formula for integrating x n . The integral is (x n+1 / n+1) + C. Let's break down our equation into two parts. The integral of 4x 3 = 4(x 3+1 / 3+1) = 4(x 4 / 4) = x 4 The integra...
HJ
Answered by Hannah J. • Maths tutor
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Can you explain how genetic diagrams of inheritance work?

Explanation of keys words first; a gene is a section of DNA that codes for a particular characteristic such as eye colour. An allele is a version of a gene (e.g. an allele for the eye colour gene could code ...
IF
Answered by Izzy F. • Biology tutor
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