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Find the integral of (cosx)*(sinx)^2 with respect to x

This is a common example of an integral that is a product of two functions whose derivatives are related. As we know the derivative of sinx is cosx, we can use substitution to easily solve this - let our ...

Answered by Harry S. • Maths tutor

6769 Views

express 9^(3x+1) in the form 3^(ax+b)

9^3x+1=(3²)^(3x+1)=3^6x+2

Answered by Harry D. • Maths tutor

3340 Views

Solve 7(x-5)=25-3x

Firstly, expand the left hand side of the equation out to produce: [7x-35=25-3x]. Bring all the x's to one side (to form 10x=60). Divide both sides by 10 to find the solution for x [x=60/10]. Therefore, x...

Answered by Jenni J. • Maths tutor

4351 Views

The equation 5x sqaured + px + q , where p and q are constants, has roots α and α + 4. (a) Show that p squared = 20q +400.

a+a+4 = -p/5a+2 = -p/10(a+2)sqaured = q/5 +4p sqaured/100 = q/5 +4p sqaured = 100(q/5 +4)implies p squared = 20q+400

Answered by Ahmed T. • Maths tutor

6153 Views

Factorise (x^2-100) and then solve for x.

When looking at factorising quadratic equations, the first approach should be to identify what is in front of the x term and the value of the c term, with the equation being in the form of y=A(x^2)+Bx+c.S...

Answered by Syed A. • Maths tutor

6398 Views