Integration for Class 12 – NCERT Maths Class 12

Integration – NCERT Class 12 Maths – Questions & Answers

Integration for Class 12

This Integration worksheet is helpful for Grade 12 students to learn and practice with our free online Maths worksheets.

I. Integrate the following:

1. ∫ (2x – ln x) dx
2. ∫ (x+x²) / (x³) dx
3. ∫ (x³ + y³) dx
4. ∫ y dy
5. ∫ {3x + x³ + (x/y)} dx
6. ∫ ln(y+ x²) dy
7. ∫(y+x + x³ +yx) dy
8. ∫ (log x +3x)dx
   upper bound = 1 and lower bound  = 0
9. ∫ (3x +y) dx
   upper bound = 1 and lower bound  = 0

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ANSWER

I.

1. -x (ln(x)-x² -1) + C
2. ln(|X|) – (1\x) + C
3. (X⁴ / 4) + y³ x + C
4. Y² / 2 + C
5. x(ln(|y|) + (x³ + 3)y) + C
6. (y+x²)(ln(y+x²)−1)+C
7. ((x+1)y²/ 2) +(x³+x)y+C
8. ½
9. (2y+3)/2

Related 12th Maths topics

Inverse Trigonometric Functions for class 12

Maths Sets for grade 12

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