Final Answer
Step-by-step Solution
Specify the solving method
Expand the integral $\int\left(7\cos\left(x\right)-\sin\left(x\right)\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integral calculus problems step by step online.
$\int7\cos\left(x\right)dx+\int-\sin\left(x\right)dx$
Learn how to solve integral calculus problems step by step online. Solve the trigonometric integral int(7cos(x)-sin(x))dx. Expand the integral \int\left(7\cos\left(x\right)-\sin\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int7\cos\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.