Integration by parts: definite integrals | AP Calculus BC | Khan Academy

When finding a definite integral using integration by parts, we should first find the antiderivative (as we do with indefinite integrals), but then we should also evaluate the antiderivative at the boundaries and subtract.

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[sebastianmorales]

I believe g'(x) is sin(x) and g(x) is cos(x). There is another comment who pointed this mistake. Just a heads up.

[web_jar]

This is a great video. It really helped with understanding how to apply limits on the integral!

[ander]

My teacher would take like 1 hour trying to explain this, while this guy explained it in 5 mins and its easy to understand

[xhlxd]

wow i learnt and understand everything from this, compared to my lecturer who talked nonsense for 2hrs and I don't even understand what he's saying omg THANK U SO MUCH MAN

[maggievaillancourt]

Isn't there a mistake? When you plugged the values inside of the formula, you wrote g'(x) instead of g(x) ? Souldn't it be cos(x) instead of sin(x)?

[honest_review]

Thank u so much sir it really clear my concept

[chakrapanic]

It would be great if you post a video on functions and there inverse

[sylvian]

but the first part in this problem is X was not integrated then why we have to apply the integral limits to it, sir can you explain me that please .

[maher-bn-musa]

using integral by part integrate ∫₀¹⁴abe⁻ᵇ/⁷db
How can I solve this