The phrase "actually vigorously" is correct and usable in written English.
It can be used to emphasize the intensity or strength of an action or feeling, often in a context where one is clarifying or correcting a previous statement.
Example: "I thought he was only participating casually, but he was actually vigorously defending his position during the debate."
Alternatives: "truly energetically" or "indeed forcefully".
"Thirdly, even if the received opinion be not only true, but the whole truth; unless it is suffered to be, and actually is, vigorously and earnestly contested, it will, by most of those who receive it, be held in the manner of a prejudice, with little comprehension or feeling of its rational grounds".
The executive branch of the United States government has until today actually, or just recently, vigorously opposed your release from jail, even under what I had previously described as draconian conditions of release.
Nobody actually knows".Mr Brown vigorously rejects one criticism that, these days, is sometimes aimed at New Labour, the pro-market social-democratic force of which, along with Tony Blair, his predecessor as prime minister, and Lord Mandelson, now the business secretary, he was a progenitor: that it was a fair-weather creed.
But you need to recognize that the HR departments at the companies you actually decide to target vigorously will play a key role in your hire, even if it is behind the scenes.
In the event that he actually lodges a claim, we would vigorously defend it.
"In the event that he [King] actually lodges a claim, we would vigorously defend it.
In true Calcio spirit the blues and the whites were actually inside the sodden sand pit vigorously disagreeing about whether or not to play, when it was officially stopped for safety reasons.
Quibble with the characterization of his campaign platform as actually being bold or significant and quibble vigorously you should but it certainly looked exciting.
The only moment he appeared to lose his cool came when Sen. Al Franken vigorously questioned whether Sessions actually handled several voting rights cases when he was a federal prosecutor in Alabama.
Vigorously shaking the film may actually distort the image by causing the film to separate prematurely and creating blobs in the final image.
