Saturday

March 28, 2015

March 28, 2015

Posted by **Erica** on Monday, October 17, 2011 at 4:18am.

e^(u² +5)du

Find F'(x).

When i did this, i got:

-2xsin(x)e^((x²+1)² + 5)

But my teacher got:

-sin(x) • the integral from x² + 1 of e^(u² +5)du + 2xcos(x)e^((x²+1)² + 5)

Do you know why the integral is in his answer? I'm not sure where I went wrong. If you could help, I would greatly appreciate it. Thanks!!

- Calculus -
**Steve**, Monday, October 17, 2011 at 2:07pmLeibnitz's Rule explains how to take the derivative of an integral. Take a google for it, or consult your textbook.

Basically, you have a product here. cos(x) * Integral f(x)

d/dx of the product is

-sin(x) * Integral + cos(x) * d/dx(Integral(f))

d/dx(Integral) = Integral(df/dx) = f, evaluated at the limits of integration.

**Answer this Question**

**Related Questions**

Integral - That's the same as the integral of sin^2 x dx. Use integration by ...

Integral Help - I need to find the integral of (sin x)/ cos^3 x I let u= cos x, ...

trig integration - s- integral endpoints are 0 and pi/2 i need to find the ...

Calculus - Hello Everyone, I need help with Calc II. 1. Integral from 0 to 1 of...

calc - find integral using table of integrals ) integral sin^4xdx this the ...

Calculus - I have two questions, because I'm preparing for a math test on monday...

math - Generalize this to fine a formula for the integral: sin(ax)cos(bx)dx ...

Calculus - I need help with this integral. w= the integral from 0 to 5 24e^-6t ...

Calculus - Evaluate the integral. S= integral sign I= absolute value S ((cos x...

calc - d/dx integral from o to x of function cos(2*pi*x) du is first i do the ...