Question Bank - Definite Integrals - Mathematics - II - Guru Chaitanya Academy

GURU CHAITANYA ACADEMY QUESTION BANK MATHEMATICS - II DEFINITE INTEGRATION & APPLICATIONS STD 12TH 5...

GURU CHAITANYA ACADEMY QUESTION BANK MATHEMATICS - II DEFINITE INTEGRATION & APPLICATIONS STD 12TH 5 1 1. Evaluate : 3 2x + 3 − 2x − 3  dx π 1 2. Evaluate:  3 + 2sin x + cos x  dx 0 1  1 3. Evaluate: 0  x − 1  dx log 4. Find the area of the region bounded by the parabola y = 4 − x 2 and the X-axis 5. Find the area of the region included between y 2 = 4ax and the line y = x. x + x3 a 6. Evaluate : −a 16 − x2  dx π 7. Evaluate :  x  sin x  cos 2 x  dx 0 2 1 8. Evaluate : x −4 2 + 4 x + 13  dx π 2 cos x 9. Evaluate:  (1 + sin x )( 2 + sin x )  dx 0 π  2 + sin x  2 10.Evaluate:  log  2 − sin x   dx π − 2 Mr. Ajit Gamey (M.Sc. Maths (Distinction) SET, NET (JRF), GATE) 9420200014 11.Find the area of the region bounded by the parabola y 2 = 16 x and its latus rectum. 12.Find the area of the region included between y 2 = 4 x , line y = x π π 4 x+ 13. Evaluate :  4  dx π 2 − cos 2 x − 4 π 2  sin 2 x  tan ( sin x )  dx −1 14. Evaluate : 0 Mr. Ajit Gamey (M.Sc. Maths (Distinction) SET, NET (JRF), GATE) 9420200014