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using integration by parts evaluate the integral of xsinx between x=0 and x =pi/2

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GF
Answered by Gabriel F. • Maths tutor
5358 Views

Work out 2(3/4)*1(5/7). Give your answer in mixed number form.

First convert all fractions into improper fractions: 11/4 12/7 Then break down the nominator and denominators into their lowest common denominators (11 3 4)/(4 7) Cancel the common factors on the nominator a...
NS
Answered by Nilja S. • Maths tutor
8401 Views

Given that y=4x^3-(5/x^2) what is dy/dx in it's simplest form?

y = 4x^3-5x^-2 dy/dx = 12x^2+10x^-3
TP
Answered by Trishul P. • Maths tutor
4549 Views

Solve the following equation for k, giving your answers to 4 decimal places where necessary: 3tan(k)-1=sec^2(k)

3tan(k)-1=sec^2(k) ( ) We want to get this in the form of a quadratic equation in a single variable, and in this case the easiest variable is tan(k). To do this we use the trigonometric identity sec^2(k)=1+t...
KM
Answered by Katrina M. • Maths tutor
4248 Views

Solve for 0<x≤2π, cos^2(x)-3cos(x)=5sin^2(x)-2, giving all answers exactly

Use the identity cos^2(x)+sin^2(x)=1, to change the 5sin^(x) into 5-5cos^2(x) and rearrange. Let y=sin(x) and solve the rearranged quadratic (6y^2-3y-3) for y and find the value of x for each solution. y= -0...
BM
Answered by Ben M. • Maths tutor
5756 Views