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Calculate the integral of ln(x)

Calculating the integral of ln(x) is harder than it might look and must be done using integration by parts, where the two parts are 1 and ln(x). The integration by parts formula is as follows integral{udv) =...
CR
Answered by Callum R. Maths tutor
3748 Views

The perimeter of a right-angled triangle is 81 cm. The lengths of its sides are in the ratio 2 : 3 : 4. Work out the area of the triangle.

Answer is 243cm 2 . 2+3+4 = 981/9 = 9Non-hypotenuse sides of triangle are therefore length (9x2=18) and (9x3=27)Area of triangle is (18x27)/2 = 243
CA
Answered by Casey A. Maths tutor
4057 Views

How do you solve algebraic equations?

The aim of solving an algebraic equation (such as x 2 =4(x-3) 2 ) is to find the values of x which make the equation correct. There are easy steps to follow for every question which can help you find the ans...
MB
Answered by Mercedes B. Maths tutor
4177 Views

Solve the equation 6x^2 + 17x - 39 = 0

Using the quadratic equation with a = 6, b = 17 and c = -39, x is found to be 1.5 or -4.33
SE
Answered by Sian E. Maths tutor
4711 Views

Given that y = 5x^4 + 3x^3 + 2x + 5, find dy/dx

We’re being asked to differentiate the function with respect to x. To do so, we use the general formula for differentiation, which is: ‘If y = kxn, dy/dx = nkx(n-1) We must also note that, which differentiat...
HP
Answered by Harry P. Maths tutor
3883 Views