Math and Arithmetic

Algebra

Calculus

# What is the indefinite integral of e to the bx plus ax squared?

###### Wiki User

###### April 30, 2007 9:51PM

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## Related Questions

###### Asked in Math and Arithmetic, Calculus

### What is the anti derivative of ax plus b whole raised to the power 2?

First expand the equation to get the following:
(ax+b)2 = (ax+b)*(ax+b) = a2x2+2abx+b2
Now do the integral, remember a&b are just coefficients,
so:
∫a2x2 + 2abx + b2 dx
So this integral becomes the following after integrating each
term:
(a2/3)x3 + abx2 + b2x + C
You can always take the derivative of the answer to check &
see if it is correct.

###### Asked in Math and Arithmetic, Calculus

### What is the definite integral of 1 divided by x square?

For it to be a definite integral, you would need to specify a
range. We can however give you the indefinite integral. The easiest
way to do this is to think of it not as a fraction, but as a
negative exponent:
1/x2 = x-2
It then becomes quite easy to integrate, as we can say in
general:
∫(axn) dx = ax(n + 1) / (n + 1) + C
In this case then, we have:
∫(x-2) dx = -x-1 + C, or -1/x + C