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Integration by Parts

I believe that to be good at integration and maths in general practice is needed. Enough practice can give the student enough knowledge to be able to solve any question. For example, integration by parts ...

Answered by Filipe C. • Maths tutor

1259 Views

Increase 35 by 20%:

An increase by 20% is the same as multiplying by 1.2Therefore, 35 x 1.2 = 42

Answered by Sam H. • Maths tutor

3232 Views

Differentiate: f(x)=2(sin(2x))^2 with respect to x, and evaluate as a single trigonometric function.

f(x) = 2sin²(2x)Therefore, using the chain rule: f'(x)=2 x 2cos(2x) x 2sin(2x)(The 2 at the front arises from the constant 2, at the start of f(x), the 2cos(2x) comes from differentiating sin

Answered by Sam H. • Maths tutor

4279 Views

Given a right-angled triangle with an angle of 35 degrees and an Opposite side of 12cm, calculate the length of the hypotenuse to 3 significant figures.

First, determine which of SOH-CAH-TOA you need to use. As this question involves the Hypotenuse and the Opposite side, use Sine. As such, write out the equation as: sin(35) = 12/x. (Let x represent the Hy...

Answered by Eloise S. • Maths tutor

6598 Views

Solve for x to 3dp: x^2 + 6x + 2 = 0

We cannot factorise this so we shall use the quadratic formula instead.We need to substitute in the values for a, b, and c.ax² + bx + c = 0x² + 6x + 2 = 0a = 1, b=6, c=2Once substitu...

Answered by Rikesh S. • Maths tutor

2838 Views