Integrating the Trigonometric Functions (HSC SSCE Mathematics Advanced): Quizzes

📚Quizzes
Integrating the Trigonometric Functions
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is ∫cos⁡x dx\int \cos x \, dx?

sin⁡x+C\sin x + C

What is ∫sin⁡x dx\int \sin x \, dx?

−cos⁡x+C-\cos x + C

What is ∫sec⁡2x dx\int \sec^2 x \, dx?

tan⁡x+C\tan x + C

Why is ∫π43π4sec⁡2x dx\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sec^2 x \, dx meaningless?

Crosses asymptote at x=π2x = \frac{\pi}{2}

What is ∫cos⁡(ax+b) dx\int \cos(ax + b) \, dx?

1asin⁡(ax+b)+C\frac{1}{a} \sin(ax + b) + C

What is ∫0π6cos⁡3x dx\int_0^{\frac{\pi}{6}} \cos 3x \, dx?

13\frac{1}{3}

What is the area under the first arch of y=sin⁡xy = \sin x?

2 square units

What is ∫tan⁡x dx\int \tan x \, dx?

−log⁡e∣cos⁡x∣+C-\log_e |\cos x| + C

If y′=cos⁡xy' = \cos x and the y-intercept is (0, 3), what is yy?

sin⁡x+3\sin x + 3

What is ∫sin⁡xcos⁡4x dx\int \sin x \cos^4 x \, dx?

−15cos⁡5x+C-\frac{1}{5} \cos^5 x + C

Join 100,000+ SSCE students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.