Integration is the inverse of differentiation of algebraic and trigonometric expressions involving brackets and powers. This can solve differential equations and evaluate definite integrals.
Part ofMathsCalculus skills
Watch this video to learn about integrating simple trigonometric functions.
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Remember that integration is the inverse procedure to differentiation. So, if you can do trigonometric differentiation, you can do trig integration.
In general:
\(\int {\sin x\,\,dx} \to - \cos x + c\)
and:
\(\int {\cos x\,\,dx} \to \sin x + c\)
Find \(\int {5\sin x\,\,dx}\)
\(\int {5\sin x\,\,dx}\)
\(= - 5\cos x + c\)
Find \(\int {{x^2}} - \cos x\,\,dx\)
\(\int {{x^2}} - \cos x\,\,dx\)
\(= \frac{{{x^3}}}{3} - \sin x + c\)
