*all basic integrals you can find here https://math2.org/math/integrals/tableof.htm*∫(2x+1)231dx=∫2(2x+1)231d(2x+1)=2x+11+C
∫sin(2x+3)dx=∫2sin(2x+3)d(2x+3)=−cos(2x+3)+C
∫cosec(4x)dx=∫4cosec(4x)d(4x)=−4ln∣cosec(4x)+cot(4x)∣+C
∫1−9x21dx=∫31−9x21d(3x)=3sin−13x+C
∫1+4x1dx=∫4(1+4x)1d(4x)=4ln(1+4x)+C
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