
StudySquare
Integrating trigonometric functions for SQA Higher Maths







This page covers the following topics:
1. Integrating simple trigonometric functions
The integral of sinx is cosx and the integral of cosx is −sinx.

1
Calculate ∫15x² + 8cos(4x)dx.
∫15x² + 8cos(4x)dx = 5x³ + 2sin(4x) + c, where c is the constant of integration.
2
Calculate ∫20x + 12sin(2x)dx.
Using the Chain rule, ∫20x + 12sin(2x)dx = 10x² − 6cos(2x) + c, where c is the constant of integration.
3
What is the integral of 2sin(4x)?
∫2sin(4x)dx = −cos(4x)/2 + c, where c is the constant of integration.
4
Find ∫2sinxdx.
∫2sinxdx = −2cosx + c, where c is the constant of integration.
5
Integrate the following: 24cos(4x).
∫24cos(4x)dx = 6sin(4x) + c, where c is the constant of integration.
6sin(4x) + c
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