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We can solve the integral $\int\sin\left(x\right)dx$ by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of $t$ by setting the substitution
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$t=\tan\left(\frac{x}{2}\right)$
Learn how to solve definite integrals problems step by step online. Integrate the function sin(x) from 60 to 90. We can solve the integral \int\sin\left(x\right)dx by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution. Hence. Substituting in the original integral we get. Simplifying.