JEE Exam > JEE Notes > Mathematics (Maths) Class 12 > RD Sharma Class 12 Solutions - Definite Integrals - 2
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Page 1 6. Question Evaluate of each of the following integral: Answer Let us assume By integration property, we know, Thus We know We know and a being the upper and lower limits respectively I = [a – 0] I = a. 7. Question Evaluate of each of the following integral: Answer Let us assume, By integration property, Page 2 6. Question Evaluate of each of the following integral: Answer Let us assume By integration property, we know, Thus We know We know and a being the upper and lower limits respectively I = [a – 0] I = a. 7. Question Evaluate of each of the following integral: Answer Let us assume, By integration property, Thus We know we know since b and a being the upper and lower limits 8. Question Evaluate of each of the following integral: . Answer Let us assume .......equation 1 By property, we know that Thus .....equation 2 Page 3 6. Question Evaluate of each of the following integral: Answer Let us assume By integration property, we know, Thus We know We know and a being the upper and lower limits respectively I = [a – 0] I = a. 7. Question Evaluate of each of the following integral: Answer Let us assume, By integration property, Thus We know we know since b and a being the upper and lower limits 8. Question Evaluate of each of the following integral: . Answer Let us assume .......equation 1 By property, we know that Thus .....equation 2 Adding the equations 1 and 2, we get, We know Trigonometric formula We know Thus We know Thus we know b and a being the upper and lower limit Since sinp = 0 and sin (– ?) = – sin? Thus Page 4 6. Question Evaluate of each of the following integral: Answer Let us assume By integration property, we know, Thus We know We know and a being the upper and lower limits respectively I = [a – 0] I = a. 7. Question Evaluate of each of the following integral: Answer Let us assume, By integration property, Thus We know we know since b and a being the upper and lower limits 8. Question Evaluate of each of the following integral: . Answer Let us assume .......equation 1 By property, we know that Thus .....equation 2 Adding the equations 1 and 2, we get, We know Trigonometric formula We know Thus We know Thus we know b and a being the upper and lower limit Since sinp = 0 and sin (– ?) = – sin? Thus 9. Question Evaluate of each of the following integral: Answer Let us assume By property, we know, We know We know b and a being the upper and lower limits Since I = 2. 10. Question Evaluate of each of the following integral: , n ? N, n = 2 Answer Let us assume ..... equation 1 By property, we know that, Page 5 6. Question Evaluate of each of the following integral: Answer Let us assume By integration property, we know, Thus We know We know and a being the upper and lower limits respectively I = [a – 0] I = a. 7. Question Evaluate of each of the following integral: Answer Let us assume, By integration property, Thus We know we know since b and a being the upper and lower limits 8. Question Evaluate of each of the following integral: . Answer Let us assume .......equation 1 By property, we know that Thus .....equation 2 Adding the equations 1 and 2, we get, We know Trigonometric formula We know Thus We know Thus we know b and a being the upper and lower limit Since sinp = 0 and sin (– ?) = – sin? Thus 9. Question Evaluate of each of the following integral: Answer Let us assume By property, we know, We know We know b and a being the upper and lower limits Since I = 2. 10. Question Evaluate of each of the following integral: , n ? N, n = 2 Answer Let us assume ..... equation 1 By property, we know that, ...... equation 2 Adding equation 1 and equation 2 + We know We know b and a being the upper and lower limit 11. Question Evaluate of each of the following integral: Answer Let us assume We know Thus We know Thus SinceRead More
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