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Integrate ((5x^3) + ((2x)^-1) + (e^2x))dx.

int(5x3 + (2x)-1 + e2x )dx

=int(5x3)dx + int((2x)-1)dx + int(e2x )dx

int(5x3)dx = (5/4)x4+ c          ...

DL
Answered by Danny L. Maths tutor
4536 Views

Fully simplify (8a^2b * ab^4)/(2a^3b^2)

8a3bab4 2a3b2 (can write this more clearly by hand using whiteboard) First go about seperating and collecting terms. Begin with the top line. ...

AI
Answered by Archie I. Maths tutor
3954 Views

Given that x(a+bx)(a-bx)=25x-4x^3, what is the value of b^(-a)? a,b>0

It's a two part question. First Part Expand the equation the left hand side to get a^(2)*x-b^(2)*x^3 thus comparing co-efficients a^2=25 and b^2=4 thus a= 5 b=2 Second Part Therefore b^(-a) ...

CP
Answered by Cameron P. Maths tutor
9598 Views

Solve the inequality 7x+3y-4 > 5y-19x for y in terms of x.

7x+3y-4 > 5y-19x

Adding 19x to both sides:

26x+3y-4 > 5y

Subtracting 3y from both sides:

26x-4 > 2y

Divide both sides by 2 to put the expression in its simplest...

DL
Answered by Danny L. Maths tutor
3798 Views

How would you derive y = function of x; for example: y = 3x^3 + x^2 + x

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